Question

Complete the similarity statement for the two triangles shown.


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△XBR∼△

△ABC∼△EFG .


Given m∠A=39° and m∠F=56° , what is m∠C ?

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Rectangle ABCD is similar to rectangle RSTU .

What is the scale factor of a dilation from ABCD to RSTU ?

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Answer 1

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.