Ch 10: Summer Constructions 2025!
The activities here are taken from Geometry By: Jurgensen, Brown, and Jurgensen; McDougal Littell/Houghton-Mifflin Publishers You can follow along with Ch 10.
Tabla de Contenidos
- Warm Up
- 1: Construct a Congruent Segment
- 2: Construct a Congruent Angle
- 4: Construct a Perpendicular Bisector
- 10.1 - 10.2: Basic Constructions (End of Day 3 Notes)
- 3: Construct an Angle Bisector
- 5: Construct the Perpendicular Line Through a Point on the Line
- 6: Construct the Perpendicular Line Through a Point not on the Given Line
- 7: Construct the Line Through a Given Point, Parallel to the Given Line
- Finished?
- I'm finished! What should I do next?
1: Construct a Congruent Segment
Construct a congruent segment
Given [math]\overline{AB}[/math][br]Construct: A segment congruent to [math]\overline{AB}[/math][br][br][color=#ff00ff]General notes: If you can use the undo/redo arrows at the top right of the constructions window. If things get really messy and you need to start over, press your browser's refresh button. [/color][br]Procedure: [br]1. Use the line tool to draw line CD some space below [math]\overline{AB}[/math]. They should not intersect. [br]2. Use the Point On Object tool to plot point E on line CD.[br]3. Use the compass tool. To set the radius as length AB: [br] click point A. [br] Click point B. [br]4. Click point E (to center the compass at point E).[br]5. Mark the compass's point of intersection with the Intersect tool. It will label this point F. [br]6. Use the segment tool to plot segment [math]\overline{EF}[/math][br]6. You have constructed [math]\overline{AB}\cong\overline{EF}[/math]. Use the measure distance tool to verify.[br][br][u]Remember[/u]: [br][list][*][color=#ff0000]Given info: red[/color][/*][*][color=#6aa84f]Arcs utilized in construction: green[/color][/*][*][color=#0000ff]The final construction: blue[/color][br][/*][/list]
3: Construct an Angle Bisector
Construct an Angle Bisector
Given [math]\angle ABC[/math][br]Construct: A ray bisecting [math]\angle ABC[/math][br][br]General notes: [br][list][*]Draw an arc = use compass. [/*][*]With the same radius = use compass. [/*][*]If lines or curves intersect = use intersect tool to label that point. [br][/*][/list]Procedure: [br]1. Open your textbook to page 376. Follow the directions for construction 3. Your point will be named differently (D and E instead of X and Y); that's okay. [br]2. Finished? use the angle measure tool to confirm that you have bisected the original angle.[br][br][u]Remember[/u]: [br][list][*][color=#ff0000]Given info: red[/color][/*][*][color=#6aa84f]Arcs utilized in construction: green[/color][/*][*][color=#0000ff]The final construction: blue[/color][/*][/list]
Construct an Angle Bisector!
I'm finished! What should I do next?
Upcoming Tasks
In order of priority: [br][list=1][*]I am able to see your progress on these constructions (warm up and the last 4). You DO NOT need to submit a GeoGebra link to Schoology for this assignment. Your progress is automatically saved, and if you come back to modify it, I see your updated files. [/*][*]Go to [color=#0000ff][url=https://euclid.findell.org/Level1/]https://euclid.findell.org/Level1/[/url] [/color]. [/*][*]Puzzle through each level using your construction skills. If you encounter vocabulary that you are unfamiliar with, use the glossary of your textbook. [/*][*]Use your tools of construction to complete each of the challenges in this game. For participation score for today, [b]upload a screen shot of your farthest progress[/b] in Schoology for credit.[/*][/list][br]This is NOT homework, but you are welcome to work on it outside of class. The goal is to see how far you can progress using your knowledge of constructions.