HELP ME QUICK Consider the Pythagorean Theorem and its converse. Which statements are correct?
A)
6, 8, and 10 are possible side lengths for a right triangle.
B)
10, 15, and 20 are possible side lengths for a right triangle.
The Pythagorean Theorem works only for sides of a right triangle.
D)
If the sides of a right triangle are of length 8 and 15. its hypotenuse is 17
E)
The Converse of the Pythagorean Theorem allows us to calculate side
lengths of right triangles.

Step-by-step explanation:

A-Yes

B-No

C-Yes

D-Yes

E-Yes

∠1≅∠2 by the alternate exterior angles theorem.

step-by-step explanation:

given, a ∥ b and ∠1 ≅ ∠3 .we have to prove that e ∥ f

we know that ∠1≅∠3 and that a || b because they are given. we see that by the alternate exterior angles theorem. therefore, ∠2≅∠3 by the transitive property. so, we can conclude that e || f by the converse alternate exterior angles theorem.

we have to fill the missing statement.

transitivity property states that if a = b and b = c, then a = c.

now, given ∠1≅∠3 and by transitivity property ∠2≅∠3 .

hence, to apply transitivity property one angle must be common which is not in result after applying this property which is ∠1.

the only options in which ∠1 is present are ∠1 and ∠2, ∠1 and ∠4

∠1 and ∠4 is not possible ∵ after applying transitivity we didn't get ∠4.

hence, the missing statement is ∠1≅∠2.

so, ∠1≅∠2 by the alternate exterior angles theorem.

r and t.

both are 64 degrees.