Similarity, Right Triangle Trigonometry, and Proof: Part Two — Test

Question 1

What is the length of line segment AC ?

Revolt · Accepted Answer

12 ft

Question 2

Which statements can be concluded from the diagram and used to prove that the triangles are similar by the SAS similarity theorem?

Revolt · Accepted Answer

the fraction with numerator cap r cap s and denominator cap v cap u is equal to the fraction with numerator cap s cap t and denominator cap u cap t and angle cap s is congruent to angle cap u

Question 3

Is triangle cap A prime cap b prime cap c prime a dilation of triangle ABC ? Explain.

Revolt · Accepted Answer

No, it is not a dilation because the points of the image are not moved away from the center of dilation proportionally.

Question 4

What are the x - and y - coordinates of point cap p on the directed line segment from cap A to cap b such that cap p is 2 thirds the length of the line segment from cap A to cap b ? x is equal to open paren the fraction with numerator m and denominator m plus n close paren times open paren x sub 2 minus x sub 1 close paren plus x sub 1 y is equal to open paren the fraction with numerator m and denominator m plus n close paren times open paren y sub 2 minus y sub 1 close paren plus y sub 1

Revolt · Accepted Answer

open paren negative 1 comma 2 close paren

Question 5

Is rectangle EFGH the result of a dilation of rectangle ABCD with a center of dilation at the origin? Why or why not?

Revolt · Accepted Answer

Yes, because corresponding sides are parallel and have lengths in the ratio 4 thirds .

Similarity, Right Triangle Trigonometry, and Proof: Part Two — Test Answers

More from this Course

TRY EDGENUITY HACKS