Similarity Transformations - Test Test

Question 1

Why is the information in the diagram enough to determine that triangle LMN approximates triangle PON using a rotation about point cap n and a dilation?

Revolt · Accepted Answer

B: because  angle MNL  and  angle ONP  are congruent angles

Question 2

Which value of y would make OP is parallel to LN ?

Revolt · Accepted Answer

A: 36

Question 3

Which describes the transformation that could have been applied to triangle ABC ?

Revolt · Accepted Answer

C: An isometric transformation could have been applied because all of the vertices moved  2  units right and  2  units down.

Question 4

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

A: 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 5

What is the scale factor of the dilation?

Revolt · Accepted Answer

B: 4

Question 6

What is the value of y ?

Revolt · Accepted Answer

A: 6 square root of 3  units

Question 7

To prove that triangle cap d cap f cap e approximates triangle cap g cap f cap h by the SAS similarity theorem, it can be stated that the fraction with numerator cap d cap f and denominator cap g cap f is equal to the fraction with numerator cap e cap f and denominator cap h cap f and

Revolt · Accepted Answer

D: angle cap d cap f cap e  is congruent to  angle cap g cap f cap h .

Question 8

On a number line, the directed line segment from cap q to cap s has endpoints cap q at negative 14 and cap s at 2 Point cap r partitions the directed line segment from cap q to cap s in a ratio of 3 to 5 ratio. Which expression correctly uses the formula 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 to find the location of point cap r ?

Revolt · Accepted Answer

B: open paren the fraction with numerator 3 and denominator 3 plus 5 close paren times open paren 2 minus negative 14 close paren plus negative 14

Question 9

What are the coordinates of the endpoints of the segment cap t prime cap v prime ?

Revolt · Accepted Answer

B: cap t prime times open paren negative 3 comma 6 close paren  and  cap v prime times open paren 0 comma 3 close paren

Question 10

We are given line segment AB is parallel to line segment DE Because the lines are parallel and segment CB crosses both lines, we can consider segment CB a transversal of the parallel lines. Angles CED and CBA are corresponding angles of transversal line segment CB and are therefore congruent, so angle CED is congruent to angle CBA We can state angle cap c is congruent to angle cap c using the reflexive property. Therefore, triangle ACB approximates triangle DCE by the

Revolt · Accepted Answer

B: AA similarity theorem.

Similarity Transformations - Test Test Answers

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