MATH SOLVE

3 months ago

Q:
# Complete the similarity statement for the two triangles shown.Enter your answer in the box.△XBR∼△ △ABC∼△EFG .Given m∠A=39° and m∠F=56° , what is m∠C ?Enter your answer in the box.Rectangle ABCD is similar to rectangle RSTU .What is the scale factor of a dilation from ABCD to RSTU ?Enter your answer in the box.

Accepted Solution

A:

Answer: 1) △XBR∼ΔYNJ .2) The scale factor of ABCD to RSTU would be 1/2.Step-by-step explanation: We are given two triangles ΔXBR and ΔYNJ.Because all sides of ΔXBR and ΔYNJ are in same proportion.Therefore, ΔXBR and ΔYNJ are similar triangles.△XBR∼ΔYNJ ____________________________________________________In other figure we are given two rectangles ABCD and RSTU .Also given Rectangle ABCD is similar to rectangle RSTU .Let us check the proportion of the sides of the given rectangles.AD/UR = CD/UT50/25 = 90/252/1 = 2/1.Sides are in ratio 2:1.The scale factor of ABCD to RSTU would be 1/2.Because all side of RSTU are 1/2 of sides of ABCD.