CPM Geometry, Trigonometry, and Probability

Geometry Review- Polygons, Parallel, Trig Ratios

By Elizabeth Hinds

Properties of Parallelograms

Multiple Choice

Solve for x.

• 15

• 30

• 23

• 46

Multiple Choice

Find m∠U.

• 95°
• 85°
• 75°
• 90°

Multiple Choice

The figure is a parallelogram.

Solve for x.

• 1

• 10

• 4

• 5

Rectangle Properties

Multiple Choice

The diagonals of a rectangle are

• parallel

• congruent

• perpendicular

• not congruent

Multiple Choice

In rectangle RSBF, SF = 2x + 15 and RB = 5x - 12. What is the length of one diagonal?

• 1

• 9

• 18

• 33

Characteristics of Rhombi:

• All Sides Are Congruent

• Diagonals Bisect Opposite Angles

• Diagonals Are Perpendicular (i.e., they form Right Angles)

All Squares Are Parallelograms...

...But Not All Parallelograms Are Squares. Why?

Open Ended

What are the values of angles 1, 2, 3, and 4?

​If 2 parallel Lines are cut by a transversal, then...

• ​alternate interior angles are congruent

• ​alternate exterior angles are congruent

• ​corresponding angles are congruent

• ​same-side (consecutive) interior angles are supplementary

Multiple Choice

What type of angle pair is ∠1 and ∠5?

• alternate interior angles
• corresponding angles
• alternate exterior angles
• vertical angels. 

Multiple Choice

Name the alternate interior angle to angle 3.

• 4
• 5
• 6
• 8

Multiple Choice

Angle 1 = 27^o
Find the measure of angle 4

• 27^o
• 153^o
• 63^o
• 90^o

Multiple Choice

Solve for  y.

• y = 20
• y = 120
• y = 60
• y = 10

Parallel Slopes

• Parallel Slopes are the SAME as the original slope

• m=2, so IIm=2

• m=-1/3, so IIm=-1/3

• m=4/3, so IIm= 4/3

• y=6x-1, so m=6 and IIm=6

• y= -3/5x+1, so m=-3/5 and IIm=-3/5

Perpendicular Slopes

• Perpendicular Slopes are OPPOSITE RECIPROCALS

• m= -3/2 so Perpendicular m = 2/3

• m= -1/3 so Perpendicular m = 3/1

• m= 4/3 so Perpendicular m = -3/4

• m=2 so Perpendicular m = -1/2

• y= 6x-1 so Perpendicular m = -1/6

• y= -3/5x+2 so Perpendicular m = 5/3

Multiple Choice

Find Perpendicular m if y=-7/8x+2

• -7/8

• 2

• 8/7

Multiple Choice

What is cosC = ?

• 24/25

• 7/25

• 24/7

Practice with Trig Functions

Multiple Choice

What is the sinA = ?

• 6/10 = 3/5

• 8/10 = 4/5

• 6/8 = 3/4

• 8/6 = 4/3

Multiple Choice

When do you use an inverse trig function?

• When you are finding a missing side.

• When you are finding a missing angle.

• You can use it anytime.

Multiple Choice

Find the measure of the indicated angle (?) round to the nearest tenth.

• 9.4
• 55.2
• 20.15
• 19.4

Multiple Choice

Find the length of side y.

• 22.32 cm

• 36.5 cm

• 76.34 cm

• 87.76 cm

Multiple Choice

Find the measure of the indicated angle to the nearest degree.

• 26°

• 29°

• 61°

Multiple Choice

Find x round to the nearest tenth.

• 46.1
• 4.9
• 16.4
• 26.9