Similar Triangles Review

Mrs. Johns is preforming a transformation on a square. Which transformation results in a similar square, but not congruent to the original square?

• Rotation

• Reflection

• Translation

• Dilation

Tags

CCSS.HSG.CO.A.2

CCSS.HSG.SRT.A.1

CCSS.HSG.SRT.A.2

CCSS.HSG.SRT.A.3

1. Let there be two circles, circle A and circle B. 

2. There exists a translation that can be performed on circle A such that it will have the same center as circle B. 

3. There exists a dilation that can be performed on circle B such that it will have the same center as circle A. 

4. Thus, there exists a sequence of transformations that can be performed on circle A in order to obtain circle B. 

5. ???

6. Since circle A and circle B can be any circles, all circles are similar.

Which statement is best for statement 5?

• Therefore, circle A is similar to circle B.

• Therefore, circle A is congruent to circle B.

• Therefore, circle A is not similar to circle B.

• Therefore, circle B is congruent to circle A.

Tags

CCSS.HSG.C.A.1

CCSS.HSG.SRT.A.2

Which of the proportions could be used to solve for x?

Tags

CCSS.7.EE.B.4

CCSS.7.RP.A.2

CCSS.7.RP.A.3

Which triangle must be similar to triangle ABC?

Tags

CCSS.HSG.SRT.A.2

CCSS.HSG.SRT.A.3

CCSS.HSG.SRT.B.5

What does the AA~ represent?

• Preservation of orientation

• Preservation of side length

• Preservation of angle measures

• Preservation of side length proportionally

Tags

CCSS.HSG.SRT.A.2

CCSS.HSG.SRT.A.3

CCSS.HSG.SRT.B.5

What is the scale factor of the following?

Tags

CCSS.HSG.SRT.A.1

CCSS.HSG.SRT.A.2

A giraffe is 18 feet tall and casts a shadow of 12 feet. Corry casts a shadow of 4 feet. How tall is Corry?

Tags

CCSS.HSG.SRT.A.2

CCSS.HSG.SRT.A.3

CCSS.HSG.SRT.C.6

Triangle ABC is dilated by triangle XYZ. What is the perimeter of ABC?

• 33.2

• 36

• 30

• 33

Tags

CCSS.HSG.SRT.A.1

CCSS.HSG.SRT.A.2

CCSS.HSG.SRT.A.3

Mrs. Johns was able to map circle P onto circle R (with Q and s being on each circle, respectively) using a translation and a dilation.

Mrs. Johns concluded: "I was able to map circle P onto circle R using a sequence of transformations and a dilation, so the figures are similar."

What error did Mrs. Johns make in her conclusion?

• Mrs. Johns used translations so the circles aren't similar.

• Mrs. Johns used dilations so the circles aren't similar.

• There is no error. This is a correct conclusion.

Tags

CCSS.HSG.C.A.1

CCSS.HSG.SRT.A.1

CCSS.HSG.SRT.A.2

When a Ferris wheel casts a 20-meter shadow, a man 1.8 meters tall casts a 2.4 meter shadow. How tall is the Ferris wheel?

Tags

CCSS.HSA.CED.A.2

CCSS.HSG.SRT.A.2

CCSS.HSG.SRT.A.3