Geometry Lesson 4.2 Reflections

Explore Reflections with GeoGebra
Watch the video to learn how to create a reflection in GeoGebra. After completing your reflection, answer the questions.
THE STEPS IN VIDEO:
DETAILED STEPS:
[b]1.[/b] Construct a triangle ABC with the [b]"Polygon"[/b] tool. [icon]/images/ggb/toolbar/mode_polygon.png[/icon][br][br][b]2.[/b] Construct an axis of symmetry with the [b]"Line"[/b] tool.[br][br][b]3.[/b] Construct the reflection of your pre-image with the [b]"Axial symmetry"[/b] tool and change the color of the image.[br][br][b]4.[/b] Connect the vertices A and A', B and B' then C and C' with the [b]"Line"[/b] tool and transform your lines into dotted lines.[br][br][b]5.[/b] Place a point F at the intersection of the line AA' and the axis of symmetry, a point G at the intersection of the line BB' and the axis of symmetry and a point H at the intersection of the line CC' and the axis of symmetry with the [b]"Intersection"[/b] tool.[br][br][b]6.[/b] Display the measures of the 3 angles at the 3 intersections on the axis of symmetry with the [b]"Angle"[/b] tool. [br][br][b]7.[/b] Display the measurements of segments AF, FA', CG, GC', BH and HB' with the [b]"Distance or Length"[/b] tool.[br][br][b]8.[/b] Display the measurements of the 3 sides of the image and those of the pre-image with the [b]"Distance or Length"[/b] tool. [br][br][b]9.[/b] Move your axis of symmetry with the [b]"Move"[/b] tool. Observe what happens.[br][br] [b]10.[/b] Modify your initial figure with the [b]"Move"[/b] tool. Observe what happens.
BUILD YOUR THINKING HERE:
QUESTION 1
Change the shape of your pre-image. What do you notice about the corresponding side lengths of the pre-image and image?
QUESTION 2
Change the shape of your pre-image. What do you notice about the corresponding angle measures of the pre-image and image?
QUESTION 3
What is the relationship between the three dashed lines?
QUESTION 4
What do you notice about the angles formed from the dashed lines and the line of reflection?
QUESTION 5
The line of reflection is the ___________ of the dashed segments connecting the corresponding pre-image and image points.
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Information: Geometry Lesson 4.2 Reflections