4.7 Use Isosceles and Equilateral Triangles

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

Isosceles Triangles Geometry D – Chapter 4.6. Definitions - Review Define an isosceles triangle. A triangle with two congruent sides. Name the parts of.

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 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.

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

Holt McDougal Geometry 4-8 Isosceles and Equilateral Triangles Prove theorems about isosceles and equilateral triangles. Apply properties of isosceles.

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

4.7 Use Isosceles & Equilateral Triangles

Section 4-4: The Isosceles Triangle Theorems

Section 4-5: Isosceles and Equilateral Triangles.

Isosceles and Equilateral Triangles Geometry H2 (Holt 4-9) K.Santos.

GOAL 1 CLASSIFYING TRIANGLES EXAMPLE Triangles and Angles Learn the vocabulary!!!

4.6: Isosceles and Equilateral Triangles

4.1 Triangles and Angles. 2 Standard/Objectives: Objectives: Classify triangles by their sides and angles. Find angle measures in triangles DEFINITION:

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

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.

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.

4.7 Use Isosceles and Equilateral Triangles

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

4-5 Isosceles and Equilateral Triangles

Isosceles Triangles.

5.4 Isosceles and Equilateral Triangles

The Isosceles Triangle Theorems

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

Isosceles & Equilateral Triangles

Types of Triangles and Their Properties

Proving Theorems about Isosceles Triangles (5.6.2)

Section 4.5 isosceles & equilateral triangles

7.4 Special Right Triangles

Triangles Review.

Find measures in a triangle

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

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.

4.7 Use Isosceles and Equilateral Triangles

Isosceles, Equilateral, and Right Triangles

4.6 Isosceles 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

5-7 Isosceles and Equilateral Triangles

4.8 – Use Isosceles and Equilateral Triangles

Equilateral TRIANGLES

Isosceles and Equilateral Triangles

Module 15: Lesson 2 Isosceles & Equilateral Triangles

Section 3.3 Isosceles Triangles

Presentation transcript:

4.7 Use Isosceles and Equilateral Triangles Hubarth Geometry

The congruent sides of an isosceles triangle are called legs. The other side is called the base. The two angles at the base of the triangle are called the base angles. A vertex angle base angles leg leg B C base Theorem 4.3 Base Angles Theorem

Ex 1. Use the Base Angle Theorem 52 N L Solution

Theorem 4.4 Converse of the Base Angle Theorem A B C

Ex 2. Use the Converse of the Base Angles Theorem Find the value of x. F 12 D X+3 E Solution

Corollary to the Base Angles Theorem Corollaries Corollary to the Base Angles Theorem B Corollary to the Converse of Base Angles Theorem A C

Ex 3. Find the Side Length of an Equiangular Triangle Find the length of each side of the equiangular triangle. 3x 2x+10 Solution Because the triangle is equiangular, it is also equilateral. So, 3x=2x+10 x=10 3(10)=30 Each side of the triangle is 30

Definition of congruent segments EX 3 Use Isosceles and Equilateral Triangles Find the values of x and y in the diagram. STEP 1 STEP 2 Definition of congruent segments LN = LM 4 = x + 1 Substitute 4 for LN and x + 1 for LM. 3 = x Subtract 1 from each side.

Practice Find the value of y. y=50 y=9 1. 2. 3. y+4=16 -4 -4 y=12 -4 -4 y=12 9 y 50 y Y+4 B 5. Find the values of x and y in the diagram. 4. 58 y° = 120° x° = 60° 6x+4 C A