Similarity Transformations — Test

Question 1

A treasure map says that a treasure is buried so that it partitions the distance between a rock and a tree in a 5:9 ratio. Marina traced the map onto a coordinate plane to find the exact location of the treasure. 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 What are the coordinates of the treasure? If necessary, round the coordinates to the nearest tenth.

Revolt · Accepted Answer

open paren 7 point 6 comma 8 point 8 close paren

Question 2

What is the value of y ?

Revolt · Accepted Answer

6 square root of 3 units

Question 3

If triangle YWZ approximates triangle YXW , what is true about angle XWZ ?

Revolt · Accepted Answer

angle XWZ is a right angle.

Question 4

If the triangles are similar, which must be true?

Revolt · Accepted Answer

the fraction with numerator cap r cap y and denominator cap r cap s is equal to the fraction with numerator cap r cap x and denominator cap r cap t is equal to the fraction with numerator cap x cap y and denominator cap t cap s

Question 5

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

Revolt · Accepted Answer

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

Similarity Transformations — Test Answers

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