Question

Suppose right triangle ABC has one acute angle 47º. Suppose also that right triangle DEF has an acute angle 43º. How are triangles ABC and DEF related?

Answer 1

Is this a multiple choice question?

Answer 2

a.Triangles ABC and DEF are congruent by AAA, because they have congruent corresponding angles.

b.Triangles ABC and DEF are similar by AAA, because they each have angles 90º, 43º, and 47º.

c.Triangles ABC and DEF are both acute, but they are neither similar nor congruent, because they have only 90º in common..

d.Triangles ABC and DEF are complementary, because 43º + 47º = 90º.

Answer 3

First, answer the question: Do the triangles have the same angles?

Answer 4

yes, acute angles

Answer 5

Yes. So now we can conclude that they both have the same angles and therefore we can use the AAA method as proof. Which answer do you think it is, now that we have concluded that they have the same angles?

Answer 6

90+43+47=180

Answer 7

A?!!!

Answer 8

I think it is B.

Answer 9

"Having all three corresponding angles equal is not enough to prove congruence"

Answer 10

ahh, alright. thank you. you were definitley help, it just takes me a minute when it comes to math.

Answer 11

you're welcome.