Question

Complete the similarity statement for the two triangles shown.

Answer 1

If we already know that one side= 39 and the other is 56, a triangle must measure up to 180 so 39+56= 95.180-95= 85 m<c= 85.

to find the scale factor we need to compare the two sides the scale factor is 1/2

Answer 2

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

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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/UT

50/25 = 90/25

2/1 = 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.