Question

Medal for help (Triangles)

Answer 1

@Ac3

Answer 2

You need to match each pair of congruent angles of the two triangles.

Answer 3

Lines BC and HG are parallel.
Line BG is a transversal.
Can you name 2 congruent angles in my figure above based on the two parallel lines and the transversal?

Answer 4

I'll try

Answer 5

FCH is congruent to CBF

Answer 6

@wolf1728

Answer 7

@MissSmartiez

Answer 8

Angle CFB and angle GFH are vertex angles (meaning they share a similar angle.) That is one angle that is similar. You can also get two more angles are similar because you can use alternate interior angles theorem. Therefore, it would be D.

Answer 9

I think I'm getting the hang of it...

Answer 10

This triangle would not be similar.

Answer 11

Right?

Answer 12

18/89=18/89
24/66=4/11
11/44=1/4

Answer 13

@Seratul

Answer 14

Using the figure I drew above, you can state that angles CBG and HGB are congruent because of alternate interior angles.
Angles BFC and GFH are congruent because they are vertical angles.
Since you have two pairs of congruent angles, the triangles are congruent by AA Similarity.
The answer is C.
The answer is not D because you don't know anything about the length of the sides.

Answer 15

For the second problem, if the triangles were similar, then the ratios of the lengths of corresponding sides would have to be the same.
Let's list the sides in order of length:
Larger triangle: 89, 66, 44
Smaller triangle: 24, 18, 11
The ratios of the lengths of corresponding sides are:
89/24 = 3.708333...
66/18 = 3.666...
44/11 = 4
All ratios are different, so the triangles are not similar.