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### Day 13 - Triangle Congruence Postulates

### Homework WS#1 – 12

SWBAT to prove triangles are congruent using SSS, SAS, ASA, AAS and HL

Mini-Assessment #3

Date: Thursday 10/31 (Periods 2, 4) or Friday 11/01 (Periods 1, 3)

Covers:

- Day 10A – Pythagorean Theorem
- Day 10B – Similar Right Triangles / Geometric Mean
- Day 11 – Parallel Lines & Transversals (Corresponding Angles, Alternate Interior Angles, Alternate Exterior Angles, Same Side Interior Angles, etc)
- Day 12 – Isosceles Triangle, Exterior Angle, Triangle Sum

Polygon Exterior Angle-Sum Theorem

The of the measures of the exterior angles of a polygon, one at each vertex, is 360.

sum

Congruent triangles have 3 congruent sides and 3 congruent angles.

The parts of congruent triangles that “match” are called corresponding parts.

Corresponding Parts of Congruent Triangles are Congruent

Side-Side-Side (SSS) Congruence Postulate

All Three sides in one triangle are congruent to the three sides in the other triangle

Side-Angle-Side (SAS) Congruence Postulate

Two sides and the INCLUDED angle of one triangle are congruent to two sides and the included angle of a second triangle.

Angle-Side-Angle (ASA) Congruence Postulate

A

A

S

S

A

A

Two angles and the INCLUDED side

(the side is in between the 2 marked angles)

A

A

A

S

S

Angle-Angle-Side (AAS) Congruence Postulate

Two Angles and One Side that is NOT included

There is one more way to prove triangles congruent, but it’s only for RIGHT TRIANGLES…Hypotenuse Leg

HL

2 markings you can add if they aren’t marked already

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