Warm-Up Find the value of x. x + 25 3x - 3. GEOMETRY 4-8 Isosceles and Equilateral Triangles.

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Warm-Up Find the value of x. x + 25 3x - 3

Transcript of Warm-Up Find the value of x. x + 25 3x - 3. GEOMETRY 4-8 Isosceles and Equilateral Triangles.

Page 1: Warm-Up Find the value of x. x + 25 3x - 3. GEOMETRY 4-8 Isosceles and Equilateral Triangles.

Warm-Up• Find the value of x.

x + 25

3x - 3

Page 2: Warm-Up Find the value of x. x + 25 3x - 3. GEOMETRY 4-8 Isosceles and Equilateral Triangles.

GEOMETRY 4-8Isosceles and Equilateral Triangles

Page 3: Warm-Up Find the value of x. x + 25 3x - 3. GEOMETRY 4-8 Isosceles and Equilateral Triangles.

Parts of an Isosceles Triangle

Base: the side opposite the vertex angle

Base angle Base angle

Leg: a congruent side Leg: a congruent side

Vertex angle: formed by the two legs

Page 4: Warm-Up Find the value of x. x + 25 3x - 3. GEOMETRY 4-8 Isosceles and Equilateral Triangles.

Theorem

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

If

Then

Page 5: Warm-Up Find the value of x. x + 25 3x - 3. GEOMETRY 4-8 Isosceles and Equilateral Triangles.

Examples• Find the value of x.

55°

x + 4°1)

2)

Page 6: Warm-Up Find the value of x. x + 25 3x - 3. GEOMETRY 4-8 Isosceles and Equilateral Triangles.

Equilateral Triangles

• Equilateral Theorem:• All equilateral triangles are equiangular.• All equiangular triangles are equilateral.

Page 7: Warm-Up Find the value of x. x + 25 3x - 3. GEOMETRY 4-8 Isosceles and Equilateral Triangles.

Examples• Find the value of x. Find the value of y.