Translating, Reflecting, and Rotating Objects

Author:Brad Luckenbill, Kenneth Wright, Nick Kochis, stampinpost, Jen Rosie

Topic:Geometry, Geometric Transformations

Use Point E to translate Triangle ABC onto the other triangle

What is the translation rule that maps Triangle ABC onto the other triangle?

Select all that apply

A
(x + 7, y - 5)
B
(x - 7, y + 5)
C
(x - 5 , y + 7)
D
(x+5 , y -7)

Check my answer (3)

Translate Triangle ABC so that B' has coordinates of (4,3)

What are the coordinates of A' and C'?

If you want to, create a new triangle by changing the dimensions. Then reflect over both the x and the y axis.

What do you notice about the coordinates of A after each reflection. Do you notice any patterns? What do you notice about the three shapes? Are they congruent? Why or Why not?

Move or change the triangle by dragging it. Then rotate it 90 degrees, 270 degrees, and -90 degrees.

Write down a vertex of the triangle and write its coordinates down after each rotation. What do you notice? How many triangles do you see? Is there one missing?

Translating, Reflecting, and Rotating Objects

Use Point E to translate Triangle ABC onto the other triangle

Translate Triangle ABC so that B' has coordinates of (4,3)

If you want to, create a new triangle by changing the dimensions. Then reflect over both the x and the y axis.

Move or change the triangle by dragging it. Then rotate it 90 degrees, 270 degrees, and -90 degrees.

Write down a vertex of the triangle and write its coordinates down after each rotation. What do you notice? How many triangles do you see? Is there one missing?

Move the green triangle to a new location. Rotate is 180 degrees using the slider.

What do you notice about the coordinates?

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