Math  /  Geometry

Question**\#5.) List all congruent sides or angles based on the above diagrams' annotations.

Studdy Solution

STEP 1

What is this asking? This problem wants us to find matching sides and angles in a triangle based on the markings in a diagram. Watch out! Don't mix up sides and angles!
Make sure you're looking at the right markings for each.

STEP 2

1. Identify Congruent Sides
2. Identify Congruent Angles

STEP 3

Alright, let's **dive in**!
Look at the triangle RST.
See those double tick marks on sides RSRS and STST?
Those marks mean the sides are **congruent**, like matching socks!

STEP 4

So, we can write that RSSTRS \cong ST.
Boom! We've found our **congruent sides**!

STEP 5

Now, let's **hunt down** those congruent angles!
Notice those little arcs inside the angles at vertex RR and vertex TT.
Those arcs are like little matching hats for the angles, telling us they're **congruent**!

STEP 6

We can write this as RT\angle R \cong \angle T.
Awesome! We've **nailed** the congruent angles!

STEP 7

The congruent sides are RSSTRS \cong ST, and the congruent angles are RT\angle R \cong \angle T.
We've **conquered** this geometry puzzle!

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