Unit 6 Triangle Congruence

Unit 6 Triangle Congruence 2015- 2016

Unit 6 Triangle Congruence

Target 6.1: Demonstrate knowledge of triangle facts

6.1 a ? Classify triangles by sides and angles 6.1b ? Properties of isosceles triangles and equilateral triangles 6.1c ? Construction of equilateral triangles and isosceles triangles

Geometry

Target 6.2: Prove triangles congruent using Third Angles Theorem, SSS, HL, SAS, ASA, & AAS

6.2a ? Apply Congruence and Triangle 6.2b ? Prove Triangles Congruent by SSS and HL 6.2c ? Prove Triangles Congruent by SAS, ASA, AAS

Date F 12-4 M 12-7 T 12-8 W 12-9 R 12-10 F 12-11 M 12-14

Target 6.1a/c 6.1b 6.2a 6.2b 6.2c 6.1-6.2 Test

Assignment 6.1 Day 1 Worksheet 6.1 Take Home Quiz

6.2a Worksheet 6.2b Worksheet 6.2 Take Home Quiz Unit 6 Review Unit 6 Mini-Test

Done!

NAME: _____________________________________________________

Unit 6 Triangle Congruence 2015- 2016

6.1a ? Classify Triangles By Sides and Angles

Target 1: Demonstrate knowledge of triangle facts

Geometry

Classifying Triangles by Sides

Annotate Here

Classifying Triangles by Angles

Example 1: Identify the type of triangle given the information

is 4 times , and = 30. What type of triangle is ? Sketch the triangle

YOU TRY NOW!

1. is 60? is 30? , and = 20 in a triangle. Which descriptions match this triangle? Choose all that apply. a) Right Triangle b) Obtuse Triangle c) Scalene Triangle d) Isosceles Triangle

2. The length of is 11 inches. How long is ?

Unit 6 Triangle Congruence 2015- 2016

Geometry

6.1b ? Properties of Isosceles Triangles and Equilateral Triangles

Target 1: Demonstrate knowledge of triangle facts

Drawing with your teacher!

Annotate Here

Base Angles Theorem

If two sides of a triangle are congruent, then the angles opposite them are congruent.

Converse of the Base Angles Theorem

Example 1: In , . Name two congruent angles.

Isosceles Bisector Theorem

If a line bisects an isosceles triangle's vertex angle, then it is a perpendicular bisector of the base.

Unit 6 Triangle Congruence 2015- 2016

Isosceles Bisector Theorem Converse

If a line is a perpendicular bisector of an isosceles triangle's base, then it is also the angle bisector of the vertex angle.

Geometry

Annotate Here

Example 1: Use properties of the isosceles triangles What is ?

Equilateral Triangles

If a triangle is equilateral, then it is ________________________. If a triangle is equiangular,then it is _______________________.

Example 2: Find the measures of , , .

Unit 6 Triangle Congruence 2015- 2016

YOU TRY NOW!

1. If the perimeter of the triangle below is 35, what is the value of x?

Geometry

Annotate Here

2. What is the length of FG?

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