Unit 3 Similarity Assessment time

Last updated over 3 years ago
19 questions
2

Locate the center of dialtion and the scale factor. List your answers on the provided lines and show all work.

1.5

Dilate ∆ABC using a center of dialtion at the origin (0,0) and a scale factor of 1/2. Label the points appropriately.

1.5

Dilate ∆ ABC using a center of dialtion of (-6,7) using a scale factor of 3. Label the points appropriately.

2

Which transformations must be used to map ∆WXY to ∆BCD?
In the show your work section, mark your lines of reflection, points of rotation, or centers of dilation as they would be needed (you may need all, some, or none of these).

2

True or False: If two triangles are congruent, then the triangles are similar.

Type whether this statement is true or false, then explain your answer with words and pictures. The Show your work section is available if you need.

2

In this figure, ∆LMN ~ ∆PQR, complete the proportion (the blue blanks):

2

Given: ∆RST~∆XYZ. Which of the following are true? Select all that apply.

1

Are the following two triangles similar? (yellow - shaded in triangle and outlined green triangle) If so, which similarity theorem would be used to show they are similar?

2

* Mark the triangles with any information that led you to your answer above in the show your work.
* If you can find the scale factor, do so in the show your work.
* If you determined that the triangles were similar, write the similarity statement in the show your work.

1

Are the following two triangles similar? If so, which similarity theorem would be used to show they are similar?

2

* Mark the triangles with any information that led you to your answer above in the show your work.
* If you can find the scale factor, do so in the show your work.
* If you determined that the triangles were similar, write the similarity statement in the show your work.

1

Are the following two triangles similar? If so, which similarity theorem would be used to show they are similar?

2

* Mark the triangles with any information that led you to your answer above in the show your work.
* If you can find the scale factor, do so in the show your work.
* If you determined that the triangles were similar, write the similarity statement in the show your work.

4

The following 2 triangles in the pic below are similar. Using what you know about similar triangles solve for x.
Your answer should be x=__ and you should show all work in the show your work section for how you found x.

4

The following 2 triangles in the pic below are similar. Solve for x. Then, write in the missing side length of the green question mark and show how you found x in the show your work.

Your answer should be x=__ and list your value for the green question mark in the show your work seciton.

5

If Ms. Whited is 5.5 feet tall and her shadow is 6 inches long, how tall in feet is the flag pole if it's shadow is 36 inches long?

Your answer may be entered as ___ feet and you must show all work and drawings in the show your work section.

5

Mr. Wile and Mrs. Lindeman are standing on opposite sides of a river facing one another. Mr. Wile walks 12 meters upstream and 5 meters from the river edge and Mrs. Lindeman walks 30 meters downstream but stays at the river edge. What is the width of the river?

(The distances walked are up/down the river are not to scale)

1

Extra Credit: Dilated figures are similar but not congruent.

1

Extra Credit: Reflected figures are similar but not congruent.