Question

How do you know that △stu is similar to △pqr? complete the sentence to explain your answer.

Answer 1

Answer:

△stu could be similar to △pqr IF They have 2 angles that are the same (congruent) also known as the AA theorem. Another way would be if the triangle have a 2 side that are congruent and an angle that is congruent that is between both sides (the rule is known as the SAS theorem)! The last rule would be if all the side are congruent OR if they equal the same thing. For example if you got a triangle with 3,4,5 as sides and another one that has 6,8,10 as sides. 3/6 = 4/8 = 5/10 so that would be the SSS rule

Hope you found that helpful!!!

Step-by-step explanation:

Answer 2

ΔSTU ~ ΔPQR if and only if $\frac{ST}{PQ} = \frac{TU}{QR} = \frac{SU}{PR}$ and ∠S ≅∠P , ∠T≅∠Q and ∠U≅∠R.

What are similar triangles?

" Two triangles are said to be similar if the ratio of the corresponding sides of one triangle to the other triangle are in proportion and corresponding angles are congruent."

According to the question,

ΔSTU is similar to  ΔPQR,

As per the definition of similar triangles we have,

Corresponding sides are in proportion.

ST ↔PQ

TU↔QR

SU↔PR

Therefore,

$\frac{ST}{PQ} = \frac{TU}{QR} = \frac{SU}{PR}$  are in proportion.

∠S↔∠P

∠T↔∠Q

∠U↔∠R

∠S ≅∠P ,

∠T≅∠Q

∠U≅∠R.

Hence, ΔSTU ~ ΔPQR if and only if $\frac{ST}{PQ} = \frac{TU}{QR} = \frac{SU}{PR}$ and ∠S ≅∠P , ∠T≅∠Q and ∠U≅∠R.

Learn more about similar triangle here

https://brainly.com/question/25882965

#SPJ2