isosceles and equilateral triangles · swbat: apply properties of isosceles and equilateral...

Isosceles and Equilateral Triangles

October 31, 2013

SWBAT: Apply Properties of Isosceles and Equilateral Triangles

HW: Pages 22-23

SWBAT: Apply Properties of Isosceles and Equilateral Triangles

HW: Pages 22-23

SWBAT: Apply Properties of Isosceles and Equilateral Triangles

HW: Pages 22-23

SWBAT: Apply Properties of Isosceles and Equilateral Triangles

HW: Pages 22-23

SWBAT: Apply Properties of Isosceles and Equilateral Triangles

HW: Pages 22-23

SWBAT: Apply Properties of Isosceles and Equilateral Triangles

HW: Pages 22-23

SWBAT: Apply theorems about the interior and exterior angles of triangles.

HW: Take Home Quiz

SWBAT: Apply Properties of Isosceles and Equilateral Triangles

HW: Pages 22-23

SWBAT: Apply Properties of Isosceles and Equilateral Triangles

HW: Pages 22-23

SWBAT: Apply Properties of Isosceles and Equilateral Triangles

HW: Pages 22-23

(2x + 32) = 60

2x = 28

x = 14

(4x - 20) = 60

4x = 80

x = 20

SWBAT: Apply Properties of Isosceles and Equilateral Triangles

HW: Pages 22-23

5y – 6 = 4y + 12

Equiangular ∆ equilateral ∆

NO = OP = PN

1y - 6 = 12

1y = 18

y = 18

OP = 4(18) + 12 = 84

SWBAT: Apply Properties of Isosceles and Equilateral Triangles

HW: Pages 22-23

SWBAT: Apply Properties of Isosceles and Equilateral Triangles

HW: Pages 22-23

SWBAT: Apply Properties of Isosceles and Equilateral Triangles

HW: Pages 22-23

𝑵𝑳 𝑵𝑴 𝑳𝑴

∡𝑳 ∡𝑴 ∡𝑵

𝑶𝑷 𝑶𝑸 𝑸𝑷

∡𝑷 ∡𝑸 ∡𝑶

𝑹𝑻 𝑹𝑺 𝑻𝑺

∡𝑻 ∡𝑺 ∡𝑹

𝑿𝒁 𝑿𝒀 𝒁𝒀

∡𝒁 ∡𝒀 ∡𝑿

SWBAT: Apply Properties of Isosceles and Equilateral Triangles

HW: Pages 22-23

SWBAT: Apply Properties of Isosceles and Equilateral Triangles

HW: Pages 22-23

SWBAT: Apply Properties of Isosceles and Equilateral Triangles

HW: Pages 22-23

Thus m ∡G = 22° + 44° = 66°.

m∡J = m ∡G (x + 44) = 3x

44 = 2x x = 22

SWBAT: Apply Properties of Isosceles and Equilateral Triangles

HW: Pages 22-23

Thus m∡N = 6(8) = 48°.

m∡P = m ∡N

(8y – 16) = 6y 2y = 16

y = 8

SWBAT: Apply Properties of Isosceles and Equilateral Triangles

HW: Pages 22-23

𝑽𝒆𝒓𝒕𝒆𝒙 ∡ = 𝒃𝒂𝒔𝒆 ∡ = 𝒃𝒂𝒔𝒆 ∡ =

𝑽𝒆𝒓𝒕𝒆𝒙 ∡ = x + 15 𝒃𝒂𝒔𝒆 ∡ = 𝒙 𝒃𝒂𝒔𝒆 ∡ = 𝒙

x + 𝟏𝟓 + 𝟐 𝒙 = 180

3x + 15 = 180

3x = 165

x = 55

ANSWER: 𝑽𝒆𝒓𝒕𝒆𝒙 ∡ = 𝟓𝟓 + 𝟏𝟓 = 𝟕𝟎° 𝒃𝒂𝒔𝒆 ∡ = 𝟓𝟓° 𝒃𝒂𝒔𝒆 ∡ = 𝟓𝟓°

SWBAT: Apply Properties of Isosceles and Equilateral Triangles

HW: Pages 22-23

𝑽𝒆𝒓𝒕𝒆𝒙 ∡ = 𝒃𝒂𝒔𝒆 ∡ = 𝒃𝒂𝒔𝒆 ∡ =

𝑽𝒆𝒓𝒕𝒆𝒙 ∡ = x 𝒃𝒂𝒔𝒆 ∡ = 𝒙 − 𝟔 𝒃𝒂𝒔𝒆 ∡ = 𝒙 − 𝟔

x + 𝟐 𝒙 − 𝟔 = 180

3x - 12 = 180

3x = 192

x = 64 ANSWER: 𝑽𝒆𝒓𝒕𝒆𝒙 ∡ = 𝟔𝟒° 𝒃𝒂𝒔𝒆 ∡ = 𝟔𝟒° − 𝟔 = 𝟓𝟖° 𝒃𝒂𝒔𝒆 ∡ = 𝟔𝟒° − 𝟔 = 𝟓𝟖°

x + 2x - 12 = 180

SWBAT: Apply Properties of Isosceles and Equilateral Triangles

HW: Pages 22-23

SWBAT: Apply Properties of Isosceles and Equilateral Triangles

HW: Pages 22-23

SWBAT: Apply Properties of Isosceles and Equilateral Triangles

HW: Pages 22-23

40

40

x 𝒙 + 𝟒𝟎 + 𝟒𝟎 = 𝟏𝟖𝟎°

x = 100