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In the image below, ABC ~ DEF What is the length of EF and the measure of D

A. 27; 41
B. 27; 49
C. 36; 41
D. 45; 49

In the image below, ABC ~ DEF What is the length of EF and the measure of D A. 27; 41 B-example-1
User Bobobobo
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1 Answer

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If triangle ABC is congruent to triangle DEF, then EF = BC = 27
This is because BC and EF are the last two letters of ABC and DEF respectively. They match up and correspond, being congruent by CPCTC

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Similarly, if triangle ABC is congruent to triangle DEF, then angle D = angle A = 49 degrees

The letter D and the letter A are the first letters of DEF and ABC respectively. So they match up and are congruent by CPCTC

CPCTC = Corresponding Parts of Congruent Triangles are Congruent

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So in short, the answer is choice B) 27; 49

User RoundOutTooSoon
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