Recap: Isosceles Proofs

Part of the Congruence & Proof section of Coddy's Geometry journey. Lesson 52 of 63.

Challenge

In △PQR the base angles at Q and R are marked equal, and you are given that S is the midpoint of QR. Prove that PS bisects ∠QPR, then press Check.

Try it yourself

$Write the proof$

Write the proof

All lessons in Congruence & Proof

1What a Proof Is

Given and Prove Statements and Reasons Chaining Equal Parts Your First Full Proof Recap: A Chain of Reasons

4SAS

The Included Angle The SAS Rule SAS with a Shared Side Why SSA Fails SAS or SSS?Recap: SAS

7Using CPCTC

Congruent, Then Equal Proving a Bisector Flowchart Proofs Proving a Midpoint Recap: Using CPCTC

10Isosceles Triangle Proofs

Base Angles in a Proof Equal Angles, Equal Sides Proving Isosceles The Perpendicular Bisector Chasing in Isosceles ShapesRecap: Isosceles Proofs

2Congruent Triangles

Same Size, Same Shape Matching Sides Matching Angles What Congruence Gives Recap: Matching Parts

5ASA and AAS

The Side Between The ASA Rule The AAS Rule ASA or AAS?Recap: ASA and AAS

8Proofs with Vertical Angles

Vertical Angles in Proofs The Bowtie Bowtie with ASA Linear Pairs in Proofs Recap: Vertical Angles

11Similarity Proofs