Key Terms
Congruence Transformations
Similarity Transformations
Preserved Properties
Random
100

I am a rigid motion that turns a figure based on a number of degrees and direction.

Rotation

100

Complete the following sentence about triangles.

If one triangle can be mapped to another triangle by a series of rigid transformations, then the triangles are called _________ and the corresponding ______ and angles are congruent.

congruent; sides

100
If rectangle QRST is dilated by a scale factor of 6 through the origin, which of the following points represent the coordinates of R'?
 A. (30,-6)
 B. (30,-1)
 C. (5,-6)
 D. (-30,6)


A. (30, -6)

100

True or False: I undergo a translation and a reflection. My corresponding side lengths are preserved.

True

100

I’m the rare case when today comes before yesterday. What am I?

A dictionary

200

I usually let my nonrigid transformation know how much bigger or smaller to make the image.

Scale Factor

200


Which triangle is congruent to triangle R?  Justify your reasoning using properties of rigid motions.


Triangle U

We can use only rigid motions to get from the green (R) to the purple (U) triangle. We can do this many different ways.  One way would be to do a 180 degree rotation and translate right and down.

200
Triangle Q'R'S' is the image of QRS under a dilation about the origin. Which of the following represents the scale factor used to transform QRS?
 A. 0
 B.
 C. 2
 D. 3


D. 3

200

True or False: After a rotation and a dilation, my area is preserved.

False

200

If a mile is 5280 feet, how many feet are in 1/4 of a mile

1320 feet

300

After a transformation, if I keep all of the same angle measures, perimeter, or area we say that these properties are _________ .

Preserved

300

A series of transformations were applied to triangle JKL to create triangle XYZ.

If triangle JKL and triangle XYZ are congruent, which of the following transformations could have been applied to triangle JKL?

I. reflection II. rotation III. translation IV. dilation

 A. I and II only
 B. I and III only
 C. I, II, and III only
 D. I, II, III, and IV

C. I, II, and III only

(reflection, rotation, translation)

300


1) What is the area of triangle QRS? 

2) What is the area of the image, triangle Q'R'S' after a dilation with a scale factor of 5?


1) 10

2) 50

300

True or False: After a reflection and a dilation, my corresponding angles are preserved.

True

300

If a rooster lays an egg on the exact peak of a barn, which side does it fall?

A rooster does not lay eggs.

400

I am the type of transformation consisting of only rigid motions that preserves all angle measures, side lengths, area, and perimeter.

Congruence

400

Is rectangle PQRS congruent to rectangle WXYZ?  Justify your answer using properties of congruence transformations.


Yes, the two figures are congruent since two rigid transformations (rotation and translations) will map one figure to another.  All corresponding side lengths/angle measures, and perimeter/area are preserved.

400


1) What is the perimeter of triangle QRS (round to the nearest tenth)? 

2) What is the perimeter of the image, triangle Q'R'S', after a dilation with a scale factor of 3?

1) 15.4

2) 46.2

400

Compare and contrast congruence and similarity transformations.

Both types of transformations change the figure in some way.  This could be turning, flipping, sliding, or changing the size of the figure.  These are different because similarity transformations will not always preserve measurements (side lengths, perimeter, area), but congruence transformations keep all of these equal.

400

I am two consecutive odd numbers.  My sum is 76. What two numbers am I?

37, 39

500

I do not preserve side lengths, area, and perimeter.  But, my corresponding angle measures are always preserved.

Similarity

500

List a sequence of rigid transformations that would show that triangle LMN is congruent to triangle PQR


90 degree CCW rotation about point N and a translation 7 units to the right

500

Triangle XYZ and triangle X'Y'Z' are given on the coordinate plane below.

List a sequence of transformations that shows that triangle XYZ is similar to triangle X'Y'Z'? 

90 degree clockwise rotation and a dilation with a scale factor of 1.5.

500

Explain why a dilation preserves corresponding angle measures, but not its perimeter.

A dilation is a nonrigid motion, which will produce the same shape and a different size.  Since the shapes will be identical, the angle measures are preserved.  Since a dilation will make a figure bigger or smaller, the perimeter of the preimage and image will not be the same.

500

A cowboy rides into town on Friday. He stays three days, then rides out of town on Friday. How?

The horse's name was Friday.

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