Points of Concurrency: Discovery & Construction

linzi_bullard, Jan 25, 2024

Points of Concurrency

Table of Contents

  1. Discovery: Slide Slowly
    1. Circumcenter Discovery
    2. Incenter Discovery
  2. Construction
    1. Circumcenter Construction
    2. Incenter Construction: With Angle Bisector Tool
  3. Exit Ticket: Formative
    1. Points of Concurrency Summary

1.

Discovery: Slide Slowly

  • 1. Circumcenter Discovery
  • 2. Incenter Discovery

1.1.

Circumcenter Discovery

[color=#000000]Interact with this applet for a few minutes, then answer the questions that follow. [br][br]Be sure to change the locations of the triangle's [/color][b]VERTICES[/b] both [b]BEFORE[/b] and [b]AFTER[/b] sliding the slider![br]In addition, note the [b][color=#ff00ff]pink slider[/color][/b] controls the measure of the interior angle with [b]pink vertex (lower left)[/b].
1.
What can you conclude about the [b][color=#1e84cc]3 smaller blue points[/color][/b]? What are they? How do you know this?
2.
[color=#000000]What vocabulary term best describes each [/color][color=#980000][b]brown line[/b][/color][color=#000000]? Why is this? [/color]
3.
[color=#000000]Describe [/color][b][color=#ff7700]the intersection[/color][/b][color=#000000] of these [/color][color=#980000][b]3 brown lines[/b][/color][color=#000000]. [/color][b][color=#ff7700]How do they intersect?[/color][/b]
[color=#ff7700][b]The ORANGE POINT[/b][/color]is called the [b][color=#ff7700]CIRCUMCENTER[/color][/b][color=#000000] of the triangle. [br][/color]Also, note that the [b][color=#ff00ff]pink slider[/color][/b] controls the [b][color=#ff00ff]measure of the interior angle with pink vertex[/color][/b] (lower left).
6.
[color=#000000]Is it ever possible for the [/color][b][color=#ff7700]circumcenter [/color][/b][color=#000000]to lie [i]outside the triangle[/i]?[br]If so, how would you classify such a triangle by its angles? (obtuse, acute, or right) [/color]
7.
[color=#000000]Is it ever possible for the [/color][color=#ff7700][b]circumcenter[/b] [/color][color=#000000]to lie [i]on the triangle itself[/i]?[br]If so, how would you classify such a triangle by its angles? (obtuse, acute, or right) [br]And if so, [i]where exactly on the triangle[/i] is the [/color][b][color=#ff7700]circumcenter[/color][/b][color=#000000] found? [/color]
8.
[color=#000000]Is it ever possible for the [/color][b][color=#ff7700]circumcenter[/color][/b][color=#000000] to lie [i]inside the triangle[/i]?[br]If so, how would you classify such a triangle by its angles? (obtuse, acute, or right) [/color]
9.
[color=#000000]What is so special about the [/color][b][color=#9900ff]purple circle [/color][/b][color=#000000]with respect to the triangle's vertices[/color][color=#000000]? [/color]
10.
[color=#000000]What [/color][color=#ff00ff][b]previously learned theorem[/b][/color][color=#000000] easily implies that the distance from the [/color][b][color=#ff7700]circumcenter[/color][/b][color=#000000] to any [/color]vertex[color=#000000]is equal to the distance from the [/color][b][color=#ff7700]circumcenter[/color][/b][color=#000000] to any other [/color]vertex[color=#000000]? [/color]
– linzi_bullard, Tim Brzezinski

1.2.

–

2.

Construction

  • 1. Circumcenter Construction
  • 2. Incenter Construction: With Angle Bisector Tool

2.1.

Circumcenter Construction

Review of constructing a Perpendicular Bisector
Construction Steps:
[table][tr][td][size=100]1.[/size][/td][td][size=100][img]data:image/png;base64,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[/img][/size][/td][td][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100]Construct a circle centered at point A [i]and through point B[/i]. (circle d)[/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/td][td][br][/td][td][size=100]8.[/size][/td][td][size=100][icon]https://www.geogebra.org/images/ggb/toolbar/mode_join.png[/icon][/size][/td][td][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100]Construct[/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][i] line GF[/i]. (line i)[/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/td][/tr][tr][td][size=100]2.[/size][/td][td][img]data:image/png;base64,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[/img][br][/td][td][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100]Construct a circle centered at point B [i]and through point A[/i]. (circle e)[/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][size=100][size=100][size=100][size=100][size=100][size=100][size=100][/size][/size][/size][/size][/size][/size][/size][br][/size][/td][td][br][/td][td][size=100]9.[/size][/td][td][size=100][img]data:image/png;base64,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[/img][/size][/td][td][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100]Construct a circle centered at point B [i]and through point C[/i]. (circle k)[/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/td][/tr][tr][td][size=100][size=100][size=100]3.[/size][/size][/size][/td][td][size=100][size=100][icon]https://www.geogebra.org/images/ggb/toolbar/mode_intersect.png[/icon][/size][/size][/td][td][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100]Construct the intersection points between circle d and circle e. [br](point D & point E)[/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/td][td][br][/td][td][size=100]10.[/size][/td][td][size=100][img]data:image/png;base64,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[/img][/size][/td][td][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100]Construct a circle centered at point C [i]and through point B[/i]. (circle p)[/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/td][/tr][tr][td][size=100]4.[/size][/td][td][size=100][size=100][size=100][size=100][size=100][icon]https://www.geogebra.org/images/ggb/toolbar/mode_join.png[/icon][/size][/size][/size][/size][/size][/td][td][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100]Construct[/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][i] line DE[/i]. (line f)[/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][br][/size][/td][td][size=100][br][/size][/td][td]11.[br][/td][td][size=100][size=100][size=100][size=100][icon]https://www.geogebra.org/images/ggb/toolbar/mode_intersect.png[/icon][/size][/size][/size][/size][/td][td][size=100][/size][size=100][size=100][size=100][size=100][size=100][size=100][/size][/size][/size][/size][/size][/size][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100]Construct the intersection points between circle k and circle p. [br](point I & point H)[/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][br][/td][/tr][tr][td][size=100]5.[/size][/td][td][size=100][img]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAD0AAAA8CAYAAADVPrJMAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAVUSURBVGhD7ZtNSBxJFMefIwoKuooIKi4qXiSQxERQEzDO4KhZMESQCKuwF/WgRMlBTznoXjx4VFAzulkwByELe/Kwih9RVncd96AnL46jIhoQRRQ/VtHa+pfVwxh2warpno0z/qCmq193V9W/X3V3vemuiNPTU0Zhhk0uw4p/9fTx8bFIZ2dndHl5Ka23B5vNRtHR0RQbGyvSl1wTfX5+Tvv7+xQZGUlxcXEUExMj8reNi4sLOjk5ocPDQ5FPSEigqKgoudVPNATv7OxQUlISxcfHi42hwMHBAe3u7lJycrJPuO+ahodDTTCAHuiCPgMhGtcvunGoCTaALuiDTuATjWs4lIG+a6Jxl8ZNK5SBPugEQjQeS7fxLq0C9BmPX9+NLJy4Ex0uhKVoMSLb3Nyk7OxsaTIft9tNo6OjtL29TVtbWyJFRERQamoqpaWliWVZWRkVFBTII6zB4/FQenq6dZ5eXFyk5uZmysrKEmImJibo6OiIcnJyqLa2ViTkYcO2wsJCsS+OWVpakqVYBDy9srLCzGJjY4M1NjZiPM8qKyvZ4OAg4x6WW/8b7IN9cQyORRkoy0ygU8QaZoru7+9nPKxjdrud8e4sreqMjY2JMlAWyjQL00W3tbUJD/X19UlL4KAslImyh4eH2ePHdpaba2fd3d2Mh45yr5tjquiqqiqWkpIiPGQ2KDM2NlOIJ3rCU7vI5+Q8ZcvLy3Kvm2GIDvhGxr1Ac3NzNDs7S6WlpdJqHoiQjo/XeO4nnuZ46uDpM62sxNC7dz/zvAaBeLq3t1ec9fHxcWkxn9ev4dkOntgX6Qd2755d7nUzAva01+ulpqYmcrlcVFJSIq1W8Ydc+pMll+poi+7s7CSn00kNDQ3SYg1VVXYeIUH071cGAdZ/pBcviq9WVdHp3gsLC7x7EZucnJQWayktfSXqI/qeJzzHv2EPHnwnt96cgLr3wMAAVVdXk8PhkBZrGRv7SF1dXZSbu00PH+7T/ftZfAT3rdyqgY6n+XiZDQ0NybXgg7rRBlUMTyuLnpmZEV1tb29PWoIP6kYb0BYVtLs3oiU8jxMTE6VFjZ6eHnr0yCES8jqgbrQBbdFBWTTCwszMTLmmhsNRTW/evOURGKKwYmppaRE2HdAGtEUHLdGIf1WBVz99+oUuL6f4GhJGVn/RzMxvWh5HGxCf66AsGhUh8Ffl/ftf+W87T3li/Yo8fhLy5DY10IageZrfD2ROhz/l0h/NAQYH/77ooCxa9wy3tTWQzYaRlP+Q8mpk9fKlunDdywxoida5lmpqaujZs3Kee8oTrufn/CQ8J7v9FXV0YF0NtCGootfWEOqpMzX1kdrb2/nIapqnv+nDhz5h0wFt0Lm3CO4GJzegqKhInOGRkRFpCT6oG21AW3RQFg0qKir+d9Fogzaq3Ru43W7RvYIVWvqDOlE3wltVjO6tJRrU19czp9Mp14IH6kTdOgQs2uv1ijPucrmkxXpQF+pcXV2VFjUCFg2C8cegAepAXahTF1NEg9bWVsYHCczj8UiL+aBs1IG6AsE00cDqP/tRNuoIFFNFA6tf65iB6aKB/wu8QLyOl3+34gWewW14VWvZlwh4sc5FiNETgoPi4mLKyMgQkRGGkLwNIlJCWl9fp+npafEXEEZadXV1PCDJlSWZh/ElQlA+v5ifnyfe3YVAxMFYQjTEI+FElJeXU35+vjzCGoIq+mvB8m9OvmbuRIcLQjTmPOCz/1AG+qATiF9M8sCch1AG+qATCNGY0YJJHqEM9Bkzd3yi4X5M8ghFoAv6rokGmMaDWS2hJtyYrQN9Br4pSiA85mUR/QP7ycOS8LINUAAAAABJRU5ErkJggg==[/img][/size][/td][td][size=100][size=100][size=100][size=100][size=100][/size][/size][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100]Construct a circle centered at point A [i]and through point C[/i]. (circle g)[/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/td][td][br][/td][td][size=100]12[/size][/td][td][size=100][icon]https://www.geogebra.org/images/ggb/toolbar/mode_join.png[/icon][/size][/td][td][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100]Construct[/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][i] line IH[/i]. (line J)[/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/td][/tr][/table][br][table][tr][td][size=100]6.[/size][/td][td][size=100][img]data:image/png;base64,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[/img][/size][/td][td][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100]Construct a circle centered at point C [i]and through point A[/i]. (circle h)[/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][br][/size][/td][td][size=100][br][/size][/td][td]13.[br][/td][td][size=100][size=100][size=100][size=100][icon]https://www.geogebra.org/images/ggb/toolbar/mode_intersect.png[/icon][/size][/size][/size][/size][/td][td][size=100][/size][size=100][size=100][size=100][size=100][size=100][size=100][/size][/size][/size][/size][/size][/size][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100]Construct[/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][i] the intersection of line f and line i. (point J) [/i][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size] [br][/td][/tr][tr][td][size=100]7.[/size][/td][td][size=100][icon]https://www.geogebra.org/images/ggb/toolbar/mode_intersect.png[/icon][/size][/td][td][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100]Construct the intersection points between circle g and circle h. [br](point G & point F)[/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/td][td][br][/td][td][size=100][/size][/td][td][size=100][/size][/td][td][size=100][size=100][/size][/size][/td][/tr][/table]
Task:
Construct the circumcenter of triangle ABC by following the construction steps provided above the blank worksheet.
Question:
Are line DE, line GF, and line IH always concurrent? (Move points A, B, and C to change the triangle and check your answer.)
Explore the construction of the circumcenter and its relationship with the triangle.
Here is the finished construction
– ashley_pritchard, Arthur Walters, linzi_bullard, Edward Knote

2.2.

–

3.

Exit Ticket: Formative

  • 1. Points of Concurrency Summary

3.1.

Points of Concurrency Summary

Circumcenter
What 3 special constructions meet at the [b]circumcenter[/b]?
Location of a Circumcenter
For which type of triangle is the circumcenter outside of the triangle?
Incenter
What 3 special constructions meet at the [b]incenter[/b]?
True or False. [br]The incenter is equally distance from each [b]side [/b]of the triangle.
Application Question
You are trying to set up your popcorn stand at the fair [b]equally distant [/b](equidistant) from all 3 entrances. What point would you need to construct so that your stand is the same distance from all three entrances? 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[/img]
What is being constructed? How do you know? 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[/img]
What is being constructed? How do you know?[br][img]data:image/png;base64,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[/img]
– linzi_bullard

Information