Help with geometry hw 2 questions prove that the triangles are similar.

Question

asked Oct 23, 2023 146k views

1 Answer

Glory Raj · Answer 1 · 2023-10-30T04:47:42+0000

SOLUTION:

Case: Proof of similar triangles

Given:

Two triangles

GI is parallel to NT

Required: To proof that triangles GIA and TNA are similar

Method:

Step 1:

First the angles at A are equal

Step 2: The angles at I and N are same. The angles at G and T are the same. Reason: This is because they are formed by alternate angles

Step 3: This is an AA condition.

Because all the angles per triangle are equal.

Final answer:

Therefore:

$\Delta GIA\text{ = }\Delta TNA$