Question

Sergei wants to prove that Triangle A B C is similar to Triangle F G H.

On a coordinate plane, triangle A B C has points (1, 1), (3, 3), (3, 1). Triangle F G H has points (4, 4), (12, 12), (12, 4).
Which would help him prove that? Check all that apply.
Measure angles A and F to show they are congruent.
Measure angles F and G to show they are congruent.
Use the right angle marks to show that angles C and H are congruent.
Use the grid or a ruler to show that A B = F G, B C = F G, and A C = F H.
Use the grid or a ruler to show that StartFraction F G Over A B EndFraction = StartFraction G H Over B C EndFraction = StartFraction F H Over A C EndFraction.

Answer 1

a. c. e.

Explanation:

edge 2023

Answer 2

Step-by-step explanation:Option (A) and (E) are correct.

We can prove ΔABC and ΔFGH are similar by AA criterion or by showing that the ratio of corresponding sides are equal.

Explanation:

Given : two triangles, ΔABC and ΔFGH and we need to prove both are similar to each other.

We have to choose the correct options from the given choices.

Two triangles are said to be similar if their the corresponding sides are in proportion and the corresponding angles are congruent to each other.

that is

also measure ∠A and ∠F to show they are congruent as ∠H= ∠C = 90°

This can be observed by looking at the image . So when both triangle are congruent we an show by AA similarity criterion that ΔABC and ΔFGH are similar.

Thus, option (A) and (E) are correct.

We can prove ΔABC and ΔFGH are similar by AA criterion or by showing that the ratio of corresponding sides are equal.