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

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Presentation transcript:

Isosceles Triangles Geometry Ms. Reed Unit 4, Day 2

Parts of an Isosceles Triangle Legs Base

Parts of an Isosceles Triangle Vertex Angle Base Angles

With your Isosceles Triangle: Measure all three sides and angles With a partner, discuss your results. What did you notice?

Three Triangle Postulates 4-1: If two sides of a triangle are congruent, then the angles opposite those sides are also congruent.

What it looks like:

How to use it: Find x.

Three Triangle Postulates 4-1: If two sides of a triangle are congruent, then the angles opposite those sides are also congruent. 4-2: The bisector of the vertex angle of an isosceles triangle is the perpendicular bisector of the base.

What it looks like: CD is the bisector of  ACB. Make the appropriate markings on the triangle using Theorem 4-2.

How to use it: Find the perimeter and area of the triangle.

Three Triangle Postulates 4-1: If two sides of a triangle are congruent, then the angles opposite those sides are also congruent. 4-2: The bisector of the vertex angle of an isosceles triangle is the perpendicular bisector of the base. 4-3: If two angles of a triangle are congruent, then the sides opposite the angles are congruent.

What is looks like:

How to use it:  A   B, BC = 5. Find AC. A B C 5

Practice Find the values of x and y.

Homework Work Packet: Isosceles Triangles