Two triangle are claimed to be similar when their corresponding sides room in same ratio and also the measure of their matching angles room equal.

You are watching: Which would prove that △abc ~ △xyz? check all that apply.

That is

and ∠ A = ∠X , ∠ B = ∠Y and also ∠C = ∠Z

Also ,

We have conditions for two triangle to it is in similar.

1) SSS : once the proportion of all the three sides of a triangle room equal.

that is

2) SAS: when the proportion of two matching sides are equal and the measure up of angle in between those sides room equal

and also ∠ A = ∠X

Thus, out of given options,

a)

c) and ∠A = ∠X

the correct answers are 1 and also 3

A and C

Step-by-step explanation:

step-by-step explanation:

Option: A and C space correct.

Step-by-step explanation:

For ΔABC~ΔXYZ.

option: A

if this residential or commercial property is satisfied than the SSS similarity theorem will certainly hold and the 2 triangles will certainly be similar.

( since Side-Side-Side (SSS) Similarity theorem - If the lengths of the

corresponding sides of two triangles space proportional, then the

triangles should be similar )

Option: C

and ∠A≅∠X.

in this instance the SAS similarity will hold true and

hence ΔABC~ΔXYZ.

( because Side-Angle-Side (SAS) Similarity theorem - If an angle of one

triangle is congruent to an angle of a second triangle and the lengths of

the sides including these angles space proportional, then the triangles

must be comparable ).

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