Math  /  Geometry

QuestionNo, not similar Yes, SAS Theorem Yes, SSS - Theorem Yes, AA 〜 Postulate

Studdy Solution

STEP 1

What is this asking? Are these two triangles similar, and if so, why? Watch out! Don't mix up similarity with congruence!
Similarity means same shape, but not necessarily the same size.

STEP 2

1. Check for Similarity Criteria

STEP 3

We see **two** pairs of congruent angles in our triangles!
If two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar!
This is the **AA similarity postulate**.

STEP 4

SAS similarity requires **two proportional sides** and the **included angle** to be congruent.
We don't have any information about side lengths, so we can't use SAS here.

STEP 5

SSS similarity requires all **three pairs of corresponding sides** to be proportional.
Again, we don't have side lengths, so SSS is out!

STEP 6

Yes, the triangles are similar by the AA Postulate!
We have two pairs of congruent angles, which is all we need for AA similarity.

Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord