congruence and special types of triangles

congruence and special types of triangles

Objectives

- SWBAT name and use corresponding parts of congruent polygons

Multiple Choice

The symbol for congruence is ______

• =
• ≅
• ≈
• ⋍

Multiple Choice

∠A ≅∠?

• ∠B
• ∠E
• ∠D
• ∠F

Multiple Choice

• 4m
• 5m
• 3m
• 4.5m

Multiple Choice

 $\Delta ABC\$ is rotated 90 degrees about the origin.   $\overline{BC}\cong$  _____ ? 

•  $\overline{DO}$  

•  $\overline{OG}$  

•  $\overline{DG}$  

Multiple Choice

 $\Delta ABC\$  is reflected across the x-axis $\angle A\cong$  _____ ? 

•  $\angle X$  

•  $\angle Y$  

•  $\angle Z$  

Multiple Choice

 $\Delta ABC\$  is translated 7 units right and 2 units up.  $\angle A\cong$  _____ ? 

•  $\angle P$  

•  $\angle I$  

•  $\angle E$  

Equilateral and isosceles triangles

video

Multiple Choice

The sides of an equilateral triangle have...

• different measures.
• Febtober.
• equal measures.
• 60°.

Multiple Choice

• 9
• 11
• 8
• 6

Multiple Choice

• 51
• 43
• 60
• 75

Multiple Choice

Find x

• 60
• 48
• 30
• 28

Multiple Choice

Find x

• 3
• 4
• 2
• 10

Isosceles Triangle

An Isosceles triangle is a triangle with

- TWO congruent sides

-TWO congruent base angles

Vertex angle: is an angle formed by the legs (congruent sides)

Multiple Choice

Which angle is the vertex angle

• 1

• 2

• 3

• i don't know

Multiple Choice

Which two angles are the base angles

• 1 & 3

• 2 & 3

• 1 & 2

• i don't know

Multiple Choice

Which angle is congruent to angle U?

• angle T

• angle S

• none

Fill in the Blank

What is the

 $m\angle U$  ?

Multiple Choice

• 12
• 11
• 8
• 6

Multiple Choice

Determine x

• 93
• 71
• 81
• 55

Multiple Choice

Find the value of y?

• 16

• 12

• 4

• 8

Multiple Choice

Find the value of x

• 10

• 52

• 9

• 7

Multiple Choice

What is the value of the missing angle?

• 61

• 50

• 60

• 69

Multiple Choice

• 50

• 57.5

• 65

• 130

Multiple Choice

What is the measure of angle 2?

• 50
• 65
• 115

Multiple Choice

• 40

• 70

• 80

• 100

Multiple Choice

Find the value of x

• 90

• 180

• 45

• 15

Multiple Choice

Find x.

• x = 118
• x = 31
• x = 23
• x = 62

Multiple Select

Which of the following are true? Select all that apply.

• all angles are equal in measure

• x = y + 3

• 10 = y + 3

• 10 = x

Multiple Choice

Find the value of x. (Hint: What type of triangle is this?)

• 4

• 1

• -4

• 10

Multiple Choice

Find the value of y.

• 60

• 30

• 20

• 12

Review: parallel and perpendicular lines

Multiple Choice

Slopes of parallel lines are...

• opposite reciprocals.
• opposites.
• the same.
• always 7.

Multiple Choice

What slope is parallel to:

m = 4

• 4

• -1/4

• -4

• 1/4

Multiple Choice

y = 3x +2

y = 3x - 3

These lines are...

• Parallel

• Perpendicular

• Neither

• The same line

Multiple Choice

Slopes of perpendicular lines are...

• opposite reciprocals.
• opposites.
• identical.
• always 7.

Multiple Choice

What slope is perpendicular to:  
m = 5/8

• -5/8
• 5/8
• -8/5
• 8/5

Multiple Choice

What slope is perpendicular to:  
m = 3

• -3
• -1/3
• 1/3
• 3

Multiple Choice

y = -2/3x + 2
y = 3/2x + 9
These lines are...

• Parallel
• Perpendicular
• Neither

Multiple Choice

y = 3/2x + 2
y = 2/3x + 6
These lines are...

• Parallel
• Perpendicular
• Neither