Geometry Review

Mastering Geometry Review

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What we are reviewing

• Angle Relationships

• Triangles

• Circumference of circles

• Area of circles

• Surface Area

• Volume

Angle Relationships

•Types of angle relationships include complementary angles (whose
measures add up to 90 degrees)

Angle Relationships

•and supplementary angles (whose measures add up
to 180 degrees).

Angle Relationships

•Vertical angles (These form when lines intersect
making the opposite angles congruent)

Multiple Choice

• Complementary

• Supplementary

• Adjacent

• Vertical

Multiple Choice

Find the missing angle.

• 60°
• 70°
• 50°
• 140

Measuring Angles

Remember we are finding the
range or difference between
the 2 points on the protractor

Multiple Choice

_{What is the measure of the following angle?}

• 20 degrees.

• 34 degrees.

• 70 degrees.

• 172 degrees.

Multiple Choice

What is the measure and type of the angle shown in the picture?

• 53 degrees; acute
• 53 degrees; obtuse
• 127 degrees; acute
• 127 degrees; obtuse

Conditions for Drawing Triangles

● In order to draw a triangle, we need to satisfy certain conditions.

● The sum of the lengths of any two sides of a triangle must be

greater than the length of the third side.

● The sum of all 3 angles must equal 180 degrees

a

b

c

a+b > c, a+c > b, b+c >a

Multiple Choice

A triangle has two angles with measures of 50 and 70 degrees joined by a side with a length of 20 centimeters. Which figure represents this triangle?

Understanding Circumference

•The circumference of a circle is the distance around its edge.
•The formula for calculating the circumference of a circle is C = πd or
C = 2πr.

Multiple Choice

A dog is wearing a leash that is tied to a post, as shown in the diagram.

The leash is 30 feet long. The dog runs once around the circle. How far, to the nearest foot, does the dog run?

C = 2πr

• 47 feet

• 94 feet

• 120 feet

• 188 feet

Multiple Choice

To find the circumference of the circle, which should I use?

• 12 x 3.14

• 12 x 3.14 x 2

Multiple Choice

Steven purchases a bowl. The diameter of the bowl is 14 cm. What is the circumference of the bowl?

C = πd

• 28 cm
• 43.98 cm
• 87.96 cm
• 7 cm

Multiple Choice

Daniel wants to buy cookies for her friend. The radius of a cookie is 5 inches. What is the cookie’s circumference?

• 10 in
• 2.5 in
• 15.7 in
• 31.4 in 

Finding Area of a Circle

•The area of a circle is the total space enclosed by the circle's
boundary.
•The formula for calculating the area of a circle is A = πr²,
•Radius is half of your diameter

Exploring Surface Area

•Surface area is the sum of all the areas of the faces of a 3D shape.

Open Ended

What is the surface area of this square pyramid with a base length of 3 inches and a slant height of 7 inches?

(area of a triangle: bxh)

2

Multiple Choice

FYI: A cube has 6 faces

• 75 in²

• 90 in²

• 125 in²

• 150 in²

Calculating Volume

•Volume is the measure of space occupied by a 3D shape.
•We will learn how to find the volume of basic shapes like cubes and
rectangular prisms.

•V= LxWxH or V = (Area of the base x Height)

Multiple Choice

V = L x W x H

• 6 cubic inches

• 22 cubic inches

• 88 cubic inches

• 288 cubic inches

Multiple Choice

V = (Area of the base) x Height

FYI: Area of triangle : bxh

2

• 576 ft³

• 288 ft³

• 34 ft³

• 29 ft³

Now let's start working on our Study Guide!