Geometry Review(Triangles)-Math 2

Geometry Review(Triangles)-Math 2

Types of Triangles named by Angles

• Acute

• Obtuse

• Right

• Equiangular-all equal angles

Types of Triangles named by Sides

• Scalene

• Isosceles

• Equilateral

Multiple Choice

Name this triangle by its angles and sides.

• acute, scalene

• acute, isosceles

• acute, equilateral

• right, scalene

Multiple Choice

Name this triangle by its angle and sides.

• acute, scalene

• obtuse scalene

• right, scalene

• right, isosceles

Multiple Choice

What type of triangle is this?

• Isosceles Triangle ( only 2 sides are equal )

• Equilateral Triangle ( all 3 ANGLES are equal )

• Scalene Triangle ( No sides are the same )

• Right Triangle

Multiple Choice

What kind of triangle is this?

• Obtuse because it has 1 obtuse angle
• Right because it has 2 right angles
• Right because it has 1 right angle
• Acute because it has 2 acute angles

Multiple Choice

What type of triangle is this?

• Obtuse
• acute
• straight
• right

Solving Triangle Sum

• 27 + 82 + ? = 180

• Solve....

• Missing Angle = 71 degrees

Solving Triangle Sum

• Equation

• 2x+1 + 5x + 5 + 90 = 180

• Solve....

• X = 12

Solving Exterior Angle

• Equation

• 63 + 86 = x

• X = 149

Multiple Choice

Find the measure of the missing angle.

• 47

• 57

• 53

• 133

Multiple Choice

Solve for x.

• 16

• 11

• 50

• 6

Multiple Choice

Find the measure of the indicated angle. 

• 87 degrees
• 82 degrees
• 83 degrees
• 72 degrees

Multiple Choice

Find the measure of the indicated angle. 

• 145 degrees
• 24 degrees
• 20 degrees 
• 21 degrees

Multiple Choice

Solve for x.

• 34

• 9

• 109

• 7

Multiple Choice

What is the measure of angle x?

• 45
• 60
• 65
• 75

Isosceles Triangle

• Legs are equal

• Base Angles are equal

• Vertex angle + 2 bases = 180

Find the missing angle

• Angle Z has to be equal to x becuase it is a base angle

• x + x + 84 = 180

• Solve for x

• X = 48

Find x

• Labeled as sides (NOT angles so not 180)

• 2x - 9 = x + 5

• Solve...

• x = 14

Multiple Choice

Find the value of x

• 10

• 52

• 9

• 7

Multiple Choice

Find the value of x

• 90

• 180

• 45

• 15

Multiple Choice

• 12
• 11
• 8
• 6

Multiple Choice

Determine x

• 93
• 71
• 81
• 55

Multiple Choice

• 72
• 67
• 65
• 54

Equilateral Triangle

• Equal Sides

• Also Equal Angles

• Since angles are congruent, each angle is 60 degrees

• 
  

Equilateral Sides

• All sides must be = to 10

• x = 10

• y + 3 = 10, so y = 7

Equilateral angles

• Start with x, which is 60

• Then, use 60 to get to the other triangle... <ABC = 60, which makes <CBD = 120

• 120 + 35 + y = 180

• y = 25

Multiple Choice

What is the value of x?

• 60
• 20
• 15
• 40

Multiple Choice

What is the value of y?

• 14
• 4
• 6
• 7

Multiple Choice

Find x

• 3
• 4
• 2
• 10

Multiple Choice

Find x

• 60
• 48
• 30
• 28