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

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

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

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.

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

Properties of Special Triangles 4-5 Objective: To use and apply properties of 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

Isosceles Triangles Sec: 4.6 Sol: G.5. Isosceles Triangles Sec: 4.6 Sol: G.5.

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.

Section 4-4: The Isosceles Triangle Theorems

Section 4-5: Isosceles and Equilateral Triangles.

Classifying Triangles Angle Measures of Triangles.

Classify triangles by sides No congruent sides Scalene triangle At least two sides congruent Isosceles triangle Three congruent sides Equilateral triangle.

4.6: Isosceles and Equilateral Triangles

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.

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

Holt Geometry 4-8 Isosceles and Equilateral Triangles 4-8 Isosceles and Equilateral Triangles Holt Geometry Warm Up Warm Up Lesson Presentation Lesson.

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.

Classifying Triangles How many degrees can be found in all triangles? 180 We can classify triangles 2 ways: By their angles By their sides.

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.

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

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

Warm Up [On back counter]

4.6 Use Isosceles and Equilateral Triangles

5.4 Isosceles and Equilateral Triangles

The Isosceles Triangle Theorems

4.7 Use Isosceles and Equilateral Triangles

Geometry 4.1 Triangle and Angles.

Isosceles & Equilateral Triangles

Proving Triangles Congruent

Types of Triangles and Their Properties

Proving Theorems about Isosceles Triangles (5.6.2)

Warm Up Which can you use to prove congruence: SSS, SAS, ASA, or AAS?

Section 4.5 isosceles & equilateral triangles

Lesson 3-2 Isosceles Triangles.

4.5 - Isosceles and Equilateral Triangles

Inside angles theorem.

Warm-up Find x a) b).

The Isosceles Triangle Theorems

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

4.8 – Use Isosceles and Equilateral Triangles

Equilateral TRIANGLES

Isosceles and Equilateral Triangles

Module 15: Lesson 2 Isosceles & Equilateral Triangles

Lesson 3-2 Isosceles Triangles.

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

Presentation transcript:

Date: Topic: Isosceles Triangle Theorem (6.1.C) Warm-up Given: S E O H R Theorem: _______ SAS

Base angles of an isosceles triangle are congruent. Isosceles Triangle Theorem: If two sides of a triangle are congruent, then the angles opposite those sides are congruent. This is sometimes stated: Base angles of an isosceles triangle are congruent. Find all the missing measures. 48˚ 15 cm 15 cm 66˚ 66˚ 12.2 cm

Corollary 1 If a triangle is equilateral, then it is equiangular. B Corollary If a triangle is equiangular, then it is equilateral. A C Find all the missing measures. 23 60˚ 60˚ Corollary 2 The measure of each angle of an equilateral triangle is 60˚. 23 23 60˚

Z X Y 3x – 5 + 2x + 5 + 2x + 5 = 180 7x + 5 = 180 -5 -5 3(25)– 5 = is an isosceles triangle. Find the missing information: 3x – 5 + 2x + 5 + 2x + 5 = 180 7x + 5 = 180 Z -5 -5 3(25)– 5 = 7x = 175 3x - 5 7 7 x = 25 2x + 5 2x + 5 X Y 2(25) + 5 =

C B A 7x - 4 = 3x + 32 180 – 59 – 59 = -3x +4 -3x +4 4x = 36 4 4 x = 9 is an isosceles triangle. Find the missing information: 7x - 4 = 3x + 32 180 – 59 – 59 = -3x +4 -3x +4 C 4x = 36 4 4 x = 9 7x - 4 3x + 32 B A 7(9) – 4 = 3(9) + 32 =