Geometry review

Extra Geometry review

By Susan Kahler

Remember that to make a triangle you must satisfy the triangle innequality theorem: The sum of any two sides must be greater than the third.

​

Also if you have a triangle, the triangle sum theorem states that all angles must add up to 180​⁰.

Triangles

Multiple Choice

Determine if it is possible to form a triangle with the given side lengths. 7 yd, 8 yd, 9 yd

• yes
• no

Multiple Choice

Determine if it is possible to form a triangle with the given side lengths. 15 in., 12 in., 2 in.

• yes
• no

Multiple Choice

What is the range of values of x for a triangle's third side given side measures of 8 and 15?

• between 8 and 15
• between 7 and 23
• less than 7, greater than 23

Multiple Choice

What is the value of the missing angle?

• 61
• 50
• 60
• 69

Multiple Choice

Solve for x.

• 5
• 12
• -7
• -6

Circumference is the distance around a circle.

Know the formula

C=π​d

Circumference

Know the formula for finding area of a circle.

A = ​πr²

Area

Circles

*****Make sure these formulas are written on your formula sheet. You will need to study them as they are not on the sheet for the FSA. They have to be memorized.

​Remember diameter is half of the radius. d= 2r

Multiple Choice

What is the radius of this circle?

• 18
• 10
• 9
• 8

Multiple Choice

Find the circumference (to the nearest whole number)

• 88 in
• 44 in
• 116 square in
• None of the above

Multiple Choice

find the area of the circle below.

• 100 cm
• 225 cm
• 9 cm
• 28.26 cm

Multiple Choice

If the area of a circle is 25 π in² , then the diameter is?

• 10 in
• 5 in
• 25 in
• pi in

You must know your angle relationships. Several of us forgot them and that we could set up equations using them. This will be on FSA so we need to go back and make sure we can do this. Write these on a sheet of paper and put them in your notebook.

​

Right angles = 90⁰​

Complementary angles are angles whose sum is 90⁰.

​Supplementary angles are angles whose sum is 180⁰​

All straight lines measure 180⁰​

​

Multiple Choice

What is an example of a pair of complementary angles?

• 13° and 45°
• 10° and 170°
• 81° and 9°
• 90° and 3°

Multiple Choice

Find the value of x.

• 15
• 16
• 18
• 19

Multiple Choice

Tell whether the angles are complementary or supplementary. Then find the value of x.

• Complementary; x=25
• Complementary; x=5
• Supplementary; x=25
• Supplementary; x=5

Multiple Choice

Solve for x

• 20
• 25
• 120
• 180

Let us not forget our area formulas for squares, rectangles, parallelograms and triangles.

​We need these for area of composite figures as well as Volume and Surface area.

Make sure you label these on your formula sheet so you can study them before the FSA.

Multiple Choice

What is the area of the shaded region?

• 40 sq cm
• 240 sq cm
• 280 sq cm
• 320 sq cm

Multiple Choice

The diagram shows the spot on a basketball court called the “key”. What is the area of the key? Use 3.14 for ∏ .

• 284.52 ft2
• 228 ft2
• 317 ft2
• 116.71 ft2

Multiple Choice

What is the area of the composite shape?

• Rectangle = 54, triangle = 18, total = 54 + 18 = 72 square units

• Rectangle = 54, triangle = 90, total = 54 + 90 = 144 square units

Multiple Choice

When using the volume formulas

B represents...

• Area of Base
• Base
• Bottom
• Area of Bridge

Multiple Choice

Calculate the Volume

• 410 cm³
• 420 cm³
• 402 cm³
• 401 cm³

Multiple Choice

Calculate the volume. 

•  90 cm³
• 150 cm³
• 180 cm³

Multiple Choice

What is the volume of this prism?

• 24 cubic cm
• 240 cubic cm
• 60 cubic cm

Multiple Choice

• 55 yd³
• 121 yd³
• 22 yd³
• 330 yd³

Remember that volume is how much a container will hold.

Ex. Filling a pool with water. How much dirt will a planter hold. How much soda is in a can. ​

Surface Area is the sum of the areas of all the sides in a figure.

Ex. How much paint will go on a wall. How much wrapping paper is needed to wrap a present. ​

Subject | Subject

Multiple Choice

Find the total surface area of the prism.

• 161 square feet
• 1,700 square feet
• 75 square feet
• 186 square feet

Multiple Choice

Find the total surface area of the prism.

• 48 square inches
• 64 square inches
• 88 square inches
• 76 square inches