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4-5 Isosceles & Equilateral TrianglesPowerPoint Presentation

4-5 Isosceles & Equilateral Triangles

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4-5 Isosceles & Equilateral Triangles

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4-5 Isosceles & Equilateral Triangles

Objectives: To use and apply properties of isosceles and equilateral triangles

- What is an isosceles triangle?
- What is an equilateral triangle?
- Label the following on the diagram below:
- Legs
- Base
- Base angle
- Vertex angle

- If two sides of a triangle are congruent, then the angles opposite those sides are congruent.

- If two angles of a triangle are congruent, then the sides opposite those angles are congruent.

- If a line bisects the vertex angle of an isosceles triangle, then the line is also perpendicular bisector of the base.

- If a triangle is equilateral, then the triangle is equiangular

- If a triangle is equiangular, then the triangle is equilateral

- Given: G, H, and L are congruent
- Is GK = HK ?
- Is HL = KJ ?

G

H

K

L

J

- What is the value of x?

7x – 10

3x + 6

- In the diagram, PLN = LNS. What is the measure of S in the figure below?

L

P

50º

S

N

- Page 254 #6-22 evens, 28