Math 2 Outcomes 15&16 Test

Outcome 15: I can describe dilations of geometric figures.
 a. I can dilate an image given a description or a rule.
 b. I can verify the properties of dilations given the center and scale factor.
 c. I can determine the scale factor & center of dilation of two similar figures. 
d. I can write a function rule using function notation to express the dilation of a geometric figure.
e. I can specify a sequence of transformations that transforms one figure onto a similar figure. 

Outcome 16: I can reason and solve problems involving similar figures.  
a. I can use the AA Similarity Theorem to justify two triangles are similar. 
b. I can use similarity to solve problems. 
c. I can use the triangle proportionality theorem to solve problems. 

5

[15.a]

6

[15.b]

8

[15.d]

8

*please be as specific as possible when describing your transformations
[15.e]

8

[15.a, 15.b]

8

What is the scale factor for this dilation? (from blue to yellow)
[15.c]

5

What has to be true about the scale factor to make the image bigger than the preimage?
[15]

10

A chemical company has developed a new cleaning solution which they will sell in a bottle that is 8 inches tall. They want to advertise on a billboard with an image of the bottle that is 8 feet tall. What scale factor will they use for the advertisement?
[15.c]

10

Given: Triangle XYZ is similar to KLM.
What is the measure of <M?
[16.b]

8

Are the triangles similar? If so, explain how you know. If not, be sure to explain why not. Be sure to write complete sentences and provide enough statements and reasons why.
[16.a]

6

Solve for z. z=?
[16.c]

5

[16.a]

8

Explain why you choose the previous answer choice, how exactly does it help prove the triangles are similar, give specific statements and reasons the statements are true.
[16.a]

[15.a]

[15.b]

[15.d]

*please be as specific as possible when describing your transformations[15.e]

[15.a, 15.b]

What is the scale factor for this dilation? (from blue to yellow)[15.c]

What has to be true about the scale factor to make the image bigger than the preimage?[15]

A chemical company has developed a new cleaning solution which they will sell in a bottle that is 8 inches tall. They want to advertise on a billboard with an image of the bottle that is 8 feet tall. What scale factor will they use for the advertisement?[15.c]

Given: Triangle XYZ is similar to KLM.What is the measure of <M?[16.b]

Are the triangles similar? If so, explain how you know. If not, be sure to explain why not. Be sure to write complete sentences and provide enough statements and reasons why. [16.a]

Solve for z. z=?[16.c]

[16.a]

Explain why you choose the previous answer choice, how exactly does it help prove the triangles are similar, give specific statements and reasons the statements are true. [16.a]

*please be as specific as possible when describing your transformations
[15.e]

What is the scale factor for this dilation? (from blue to yellow)
[15.c]

What has to be true about the scale factor to make the image bigger than the preimage?
[15]

A chemical company has developed a new cleaning solution which they will sell in a bottle that is 8 inches tall. They want to advertise on a billboard with an image of the bottle that is 8 feet tall. What scale factor will they use for the advertisement?
[15.c]

Given: Triangle XYZ is similar to KLM.
What is the measure of <M?
[16.b]

Are the triangles similar? If so, explain how you know. If not, be sure to explain why not. Be sure to write complete sentences and provide enough statements and reasons why.
[16.a]

Solve for z. z=?
[16.c]

Explain why you choose the previous answer choice, how exactly does it help prove the triangles are similar, give specific statements and reasons the statements are true.
[16.a]