Isosceles Triangles & Corollaries. Get: ♥ a piece of patty paper ♥ a straight edge ♥ your pencil ♥ your compass ♥ a protractor We are going to create.

Slides:

Advertisements

Similar presentations

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.

Advertisements

Lesson 4-5: Isosceles and Equilateral Triangles

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

4.6 The Isosceles Triangle Theorems Base Angles and Opposite Sides Hypotenuse - Leg.

Isosceles and Equilateral Triangles

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

4.5 - Isosceles and Equilateral Triangles. Isosceles Triangles The congruent sides of an isosceles triangles are called it legs. The third side is the.

4.5 Isosceles and Equilateral Triangles The congruent sides of an isosceles triangle are its legs. The third side is the base. The two congruent legs form.

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.

It does not do to dwell on dreams… and forget to live. -Dumbledore 4.5: Isosceles and Equilateral Triangles.

Objectives Prove theorems about isosceles and equilateral triangles.

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

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

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.

Section 4-4: The Isosceles Triangle Theorems

Section 4-5: Isosceles and Equilateral Triangles.

6-4: Isosceles Triangles

Isosceles Triangle ABC Vertex Angle Leg Base Base Angles.

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

Warm Up 1. Find each angle measure. True or False. If false explain.

It does not do to dwell on dreams… and forget to live. -Dumbledore 4.5: Isosceles and Equilateral Triangles It does not do to dwell on dreams… and forget.

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

Isosceles and Equilateral Triangles

4.4 Isosceles Triangles, Corollaries, & CPCTC. ♥Has at least 2 congruent sides. ♥The angles opposite the congruent sides are congruent ♥Converse is also.

What is an Isosceles Triangle? A triangle with at least two congruent sides.

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.

Have your yellow packet out from Tuesday please.

Isosceles Triangles A B C

Warm up… Supply the reasons in the two column proof and turn it in

Isosceles and Equilateral Triangles

4-8 Isosceles and Equilateral Triangles Warm Up Lesson Presentation

4.5 Isosceles and Equilateral Triangles

4-5 Isosceles and Equilateral Triangles

Isosceles Triangles, Corollaries, & CPCTC

The Isosceles Triangle Theorems

Objectives Prove theorems about isosceles and equilateral triangles.

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

Isosceles & Equilateral Triangles

Section 4.5 isosceles & equilateral triangles

Objective: To use and apply properties of isosceles triangles.

Lesson 3-2 Isosceles Triangles.

4.5 - Isosceles and Equilateral Triangles

(The Isosceles Triangle Theorems)

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.

Isosceles, Equilateral, and Right Triangles

What theorems apply to isosceles and equilateral triangles?

Isosceles and Equilateral Triangles

Isosceles, Equilateral, and Right Triangles

(The Isosceles Triangle Theorems)

4.8 – Use Isosceles and Equilateral Triangles

Equilateral TRIANGLES

Isosceles and Equilateral Triangles

Module 15: Lesson 2 Isosceles & Equilateral Triangles

Quiz Friday Triangle Properties.

4.4 The Isosceles Triangle Theorems Objectives: Legs/base Isosceles Triangle Th.

Presentation transcript:

Isosceles Triangles & Corollaries

Get: ♥ a piece of patty paper ♥ a straight edge ♥ your pencil ♥ your compass ♥ a protractor We are going to create an isosceles triangle with 2 congruent sides.

♥Has at least 2 congruent sides. ♥The angles opposite the congruent sides are congruent ♥Converse is also true. The sides opposite the congruent angles are also congruent. ♥This is a COROLLARY. A corollary naturally follows a theorem or postulate. We can prove it if we need to, but it really makes a lot of sense. Isosceles Triangles

♥The bisector of the vertex angle of an isosceles Δ is the perpendicular bisector of the base. Vertex angle In addition, you just learned that the angles opposite congruent sides are congruent… Base

Equilateral Triangle ♥An Equilateral triangle is a special case of an Isosceles Triangle. ♥Remember that an Isosceles Triangle has AT LEAST 2 congruent sides. ♥An Equilateral Triangle is also Equiangular. ♥The bisector of any angle is the perpendicular bisector of the opposite side.

Let’s Practice Find the measures of: mFC = mFG = mCG = m<C = m<G = m<F = m<A = m<E = y = ◦ 70◦ 50 ◦

Complete each statement. Explain why it is true.

Determine the measure of the indicated angle.  ACB  DCE  BCD

Find the value of x and y.

An exterior angle of an isosceles triangle has a measure 140. Find two possible sets of measures for the angles of the triangle.

Your assignment 4.5 Practice Worksheet