4.3 ISOSCELES AND EQUILATERAL TRIANGLES. VOCABULARY Two angles of an isosceles triangle are always congruent. These are the angles opposite the congruent.

Slides:

Advertisements

Similar presentations

CH 4.7 USE ISOSCELES AND EQUILATERAL TRIANGLES. In this section… We will use the facts that we know about isosceles and equilateral triangles to solve.

Advertisements

4-5 Isosceles and Equilateral Triangles Learning Goal 1. To use and apply properties of isosceles and equilateral triangles.

4-5 Isosceles and Equilateral Triangles. Isosceles Triangles The congruent sides of an isosceles triangle are its legs. The third side is the base. The.

Adapted from Walch Education Isosceles triangles have at least two congruent sides, called legs. The angle created by the intersection of the legs is.

The Isosceles Triangles Theorems Section 4-6 Isosceles Triangle Theorem  If 2 sides of a triangle are congruent, then the angles opposite those sides.

Isosceles and Equilateral Triangles Chapter 4 Section 5.

ISOSCELES TRIANGLES 1 Modified by Lisa Palen. PARTS OF AN ISOSCELES TRIANGLE An isosceles triangle is a triangle with at least two congruent sides. The.

Isosceles, Equilateral, and Right Triangles Sec 4.6 GOAL: To use properties of isosceles, equilateral and right triangles To use RHL Congruence Theorem.

Lesson 4-5: Isosceles & Equilateral Triangles Vocab Legs Base Angles Equiangular Bisects The congruent sides of an isosceles ∆ Congruent angles opposite.

4.5 Isosceles and Equilateral Triangles. Isosceles Triangles At least two sides are of equal length. It also has two congruent angles. Base Angles Base.

Isosceles and Equilateral Triangles Section 5-1. Isosceles Triangle A triangle with at least two congruent sides. Leg Leg Base Vertex Angle Base Angles.

Warm-Up Find the value of x. x x - 3. GEOMETRY 4-8 Isosceles and Equilateral Triangles.

1 4-5 Isosceles and Equilateral Triangles State and apply the Isosceles Triangle Theorem and its converse State and apply the corollaries for equilateral.

Use Isosceles and Equilateral Triangles

Quiz Tell whether the pair of triangles is congruent or not and why

4-6 Isosceles & Equilateral Triangles

4.5: Isosceles and Equilateral Triangles Objective: To use and apply properties of isosceles and equilateral triangles.

4-5 Isosceles and Equilateral Triangles

1 Isosceles and Equilateral Triangles. 2 Parts of an Isosceles Triangle An isosceles triangle is a triangle with two congruent sides. The congruent sides.

CH. 4.7 USE ISOSCELES & EQUILATERAL TRIANGLES. VOCAB Leg: 2 sides of isosceles triangle Leg Vertex Angle: Angle formed by the two legs Base: 3 rd side.

Geometry Ms. Stawicki.  1) To use and apply properties of isosceles triangles.

Triangles Review.

5.4 – Equilateral and Isosceles Triangles

Section 4-4: The Isosceles Triangle Theorems

Section 4-5: Isosceles and Equilateral Triangles.

11/18/09 Do Now Have your homework out on your desk. Find all of the angle measures below.

Isosceles and Equilateral Triangles Isosceles Triangle Vocabulary: Vertex Angle – The angle formed by the congruent sides of an isosceles triangle. Base.

4.6: Isosceles and Equilateral Triangles

Lesson 4-9: Isosceles and Equilateral Triangles

Triangle Sum Theorem The sum of the angle measures in a triangle is 180 degrees.

Isosceles and Equilateral Triangles

Isosceles Triangles Theorems Theorem 8.12 – If two sides of a triangle are equal in measure, then the angles opposite those sides are equal in measure.

October 8,  As we discussed in a previous section isosceles triangles are triangles with at least two sides congruent.  The two congruent sides.

Applied Geometry Lesson: 6 – 4 Isosceles Triangles Objective: Learn to identify and use properties of isosceles triangles.

Analyzing Isosceles Triangles Chapter 4, Section 6.

Isosceles and Equilateral Triangles Chapter 4-8. Theorems For Isosceles and Equilateral Triangles Isosceles Triangle Theorem If two sides of a triangle.

Isosceles Triangles A B C

4.7 Use Isosceles and Equilateral Triangles

Isosceles and Equilateral Triangles

4-8 Isosceles and Equilateral Triangles Warm Up Lesson Presentation

4-5 Isosceles and Equilateral Triangles

Use isosceles and equilateral triangles

Isosceles Triangles.

4.7 Use Isosceles and Equilateral Triangles

Date: Topic: Isosceles Triangle Theorem (6.1.C)

Angle Side Theorems Lesson 3.7.

Geometry 4.1 Triangle and Angles.

Isosceles & Equilateral Triangles

Proving Triangles Congruent

Proving Theorems about Isosceles Triangles (5.6.2)

Section 4.5 isosceles & equilateral triangles

Triangles Review.

Lesson 3-2 Isosceles Triangles.

4.5 - Isosceles and Equilateral Triangles

Warm-up Find x a) b).

The Isosceles Triangle Theorems

DRILL Write the converse of the statement:

4.1 Congruent Figures -Congruent Polygons: have corresponding angles and sides -Theorem 4.1: If 2 angles of 1 triangle are congruent to 2 angles of another.

Warm-up Find x a) b).

Isosceles, Equilateral, and Right Triangles

Isosceles and Equilateral Triangles

5.4 Isosceles and Equilateral Triangles.

Isosceles, Equilateral, and Right Triangles

4-1 Vocabulary Acute triangle Equiangular triangle Right triangle

4.8 – Use Isosceles and Equilateral Triangles

Equilateral TRIANGLES

Lesson 3-2 Isosceles Triangles.

Isosceles and Equilateral Triangles

Module 15: Lesson 2 Isosceles & Equilateral Triangles

Lesson 3-2 Isosceles Triangles.

Presentation transcript:

4.3 ISOSCELES AND EQUILATERAL TRIANGLES

VOCABULARY Two angles of an isosceles triangle are always congruent. These are the angles opposite the congruent sides

BASE ANGLES THEOREM If two sides of a triangle are congruent, then the angles opposite them are congruent

EXAMPLE 1 Use the Base Angles Theorem to find the measure of <L

CONVERSE OF BASE ANGLES THEOREM If two angles of a triangle are congruent, then the sides opposite them are congruent.

EXAMPLE 2 Use the converse of the base angles theorem to find the value of x

YOU TRY IT…

EQUILATERAL THEOREM If a triangle is equilateral, then it is equiangular.

EQUIANGULAR THEOREM If a triangle is equiangular, then it is equilateral.

EXAMPLE 3

YOU TRY IT…