Fireworks - Circumcenter

Task

Find the location of the fireworks equidistant to Pville, EHT, and OC.

Steps

1. Draw a triangle between the three cities. Use [icon]/images/ggb/toolbar/mode_polygon.png[/icon][br]2. Draw Perpendicular Bisectors for all three sides of the triangle. Use [icon]/images/ggb/toolbar/mode_linebisector.png[/icon][br]3. Place a point (Circumcenter) in the intersection of all three perpendicular bisectors. Use [icon]/images/ggb/toolbar/mode_segment.png[/icon][br]4. Measure the distance between the Circumcenter and all three cities. Use [icon]/images/ggb/toolbar/mode_distance.png[/icon][br]5. Draw a circle using Circumcenter as a center, and the circle going through all cities. Use [icon]/images/ggb/toolbar/mode_circle2.png[/icon]

Question 1

[color=#0000ff][size=150]According to the map, in which city would be the fireworks located equidistant to Pville, EHT, and OC?[/size][/color]

Question 2

[size=150][color=#0000ff]What was the distance between the fireworks and each of the three cities?[/color][/size]

Question 3

[color=#0000ff]According to the location of the fireworks (circumcenter), what is the type of triangle between the three cities?[/color]

[color=#cc0000](B) Right Triangle[/color] [color=#cc0000](A) Acute Triangle[/color] [color=#cc0000](C) Obtuse Triangle[/color]

Question 4

[size=150][color=#0000ff]Does the circle passes through all three cities?[/color][/size]

[color=#cc0000](B) False[/color] [color=#cc0000](A) True[/color]

Question 5

[size=150][color=#0000ff]The fireworks (Circumcenter) is the concurrent point of...[/color][/size]

[color=#cc0000](A) Parallel Lines[/color] [color=#cc0000](D) Angle Bisectors[/color] ([color=#cc0000]C) Perpendicular Bisectors[/color] [color=#cc0000](B) Perpendicular Lines[/color]

Question 6

[size=150][color=#0000ff]The point of intersection (fireworks) of all three perpendicular bisectors is called...?[/color][/size]

[color=#cc0000](D) Circumference[/color] [color=#cc0000](A) Intersection Point[/color] [color=#cc0000](C) Circumcenter[/color] [color=#cc0000](B) Point of concurrency[/color]

Question 7

The circle passing through all the cities (points) is the _______ of the triangle.

[color=#cc0000](A) Circumference[/color] [color=#cc0000](B) Just a circle around triangle, no name[/color]

Question 8

[size=150][color=#0000ff]List the missing words in statement in order: [/color][b]vertices[/b], [b]perpendicular bisectors[/b], [b]circumcenter[/b], [b]equidistant[/b].[br][br]"The intersection point of all three [color=#cc0000][b](a)_____________ _____________[/b][/color] is called [color=#cc0000][b](b)_________________[/b][/color]. The circumcenter is the point [b][color=#cc0000](c) _________________[/color][/b] to all three [b][color=#cc0000](d) ____________[/color][/b] of a triangle. [/size]

Fireworks - Circumcenter

Fireworks - Circumcenter

Task

Steps

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8

Information: Fireworks - Circumcenter