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

Slides:

Advertisements

Similar presentations

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

Advertisements

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.

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.

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

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.

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

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.

Brett Solberg AHS ‘11-’12. 1)What does CPCTC mean? Explain it in your own words. Unscramble the letters to reveal a type of triangle. 2)seicslose 3)telqariulae.

Isosceles and Equilateral Triangles

Section 4-4: The Isosceles Triangle Theorems

Section 4-5: Isosceles and Equilateral Triangles.

6-4: Isosceles Triangles

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.

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

Isosceles Triangle Theorem (Base Angles Theorem)

Triangle Congruence 4.5 Isosceles and Equilateral Triangles.

Isosceles Triangles Geometry Ms. Reed Unit 4, Day 2.

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.

Have your yellow packet out from Tuesday please.

Isosceles Triangles A B C

Isosceles and Equilateral Triangles

4.5 Isosceles and Equilateral Triangles

4-5 Isosceles and Equilateral Triangles

The Isosceles Triangle Theorems

Isosceles & Equilateral Triangles

3.7 Angle-Side Theorems Objective:

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

Section 4.5 isosceles & equilateral triangles

Triangles Review.

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

(The Isosceles Triangle Theorems)

5-7 Isosceles and Equilateral Triangles

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

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

Presentation transcript:

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

Parts of an Isosceles Triangle

Isosceles Triangle Theorem If two sides of a triangle are congruent, then the angles opposite the sides are congruent.

Theorem 6-3 The median from the vertex angle of an isosceles triangle lies on the perpendicular bisector of the base and the angle bisector of the vertex angle.

x = 49 y = 90 Because is also a perpendicular bisector.

x = 65 y = 50 x = 90 y = 70

Converse of Isosceles Triangle Theorem If two angles of a triangle are congruent, then the sides opposite those angles are congruent.

4x = 6x x = -5 x = 2.5 AC = 4(2.5) = 10 BC = 6(2.5) -5 = 10

Theorem 6-5 A triangle is equilateral if and only if it is equiangular.

Homework Pg – 5 all, 6 – 22 E