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GeoGebra Classroom

Defining Reflections

Author:kathleenh

Topic:Reflection

Move points A, B, and C to change the shape of the triangle. Move points P and Q to move the line of reflection. Click the boxes to show segment lengths and AA', BB' and CC'.

Question 1

Select the boxes for AA', BB' and CC'. What do you about the slope of these lines and the line of reflection, PQ?

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Question 2

Select the box for Lengths. What do you notice? What is the relationship between the line of reflection and AA', BB' and CC'?

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Question 3

Move point P to point A. How does this affect A'?

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Question 4

What is true about the line of reflection and line segments AA', BB' and CC'?

Select all that apply

A
The line of reflection, PQ, is the perpendicular bisector of AA'
B
The line of reflection, PQ, is the perpendicular bisector of BB'
C
The line of reflection, PQ, is the perpendicular bisector of CC'

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Question 5

Write a precise definition for a rotation, using the following words or objects:

Line of reflection PQ
Point A, not on the line PQ
Point B, on the line PQ
Line segment AA'
Perpendicular bisector

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Question 6

Which of the following are properties of the reflected triangle A'B'C'?

Select all that apply

A
A'B'C' has the same orientation as ABC
B
The measures of angles A, B and C are preserved
C
The lengths of segments AB, BC and AC are preserved
D
A'B'C' is congruent to ABC
E
A'B'C' is similar to ABC

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