Geometry Review

Triangles

Multiple Choice

How do you find the AREA of a TRIANGLE?

• Length x Width

• base x height divided by 2

• 1/3 (Length x width)

• base x height

Multiple Choice

Find the missing angle.

• 122

• 58

• 115

• 123

Multiple Choice

Find the measure of the missing angle.

• 90^o

• 10⁰

• 130^o

• 50^o

Multiple Choice

What is the area of this triangle?

• 12 sq. cm.

• 6 sq. cm.

• 12 cm

• 6 cm

Rectangles & Parallelograms

Multiple Choice

How do you find the area of a rectangle?

• Length + Length + Length + Length
• Length + Width
• Length x Width
• Width x Width

Multiple Choice

Greyson and Preston have a piece of paper that is 10 inches by 9 inches. What is the area of the paper?

• 100 sq. in.

• 79 sq. in.

• 90 sq. in.

• 90 in.

Multiple Choice

Area = 36 ft²

^{What is the height of the rectangle?}

Remember: A = bh

• 9 ft

• 27 ft

• 4 ft

• 18 ft

Multiple Choice

What is the area of the parallelogram?

• 35 in²

• 2 in²

• 12 in²

• 35 in

Multiple Choice

Find the area of the figure.

• 10 cm²
• 24 cm²
• 12 cm²
• 20 cm²

Multiple Choice

What is the area of the rectangle?

• 15 sq cm

• 15 cm

• 2

• 16 cm

Rectangular Prisms

• Volume is the amount of space a 3D object occupies

• Area is measured in unit squares (square units), volume is measured in unit cubes (cubic units)

• Figures are packed with unit cubes even if they aren't all visible

• Volume can be found by finding the area of the base (B) and multiplying it by the height (h) of the object

• V = Bh (B = bh) or Length x Width x Height (l x w x h)

Multiple Choice

What is volume?

• The amount of space of a 2-D object

• The amount of space in a 3-D object

• Water

• Area

Multiple Choice

Find the Volume of the given figure.

• 30 ft³

• 36 ft³

• 96 ft³

• 11 ft³

Multiple Choice

What is the volume?

• 72

• 27

• 1.5

• 272

Multiple Choice

If a rectangular prism has a base that is 5 inches by 6 inches and height of 13 inches, what is the volume?

• 24 in³

• 390 in³

• 143 in³

• 24 in²

Classifying triangles by angle measure

• When you classify triangles by their angle measures, you use the words acute, right, and obtuse.

  
  

• Let's find out what those words mean!

Acute Triangle

• An acute triangle has 

  three acute angles.

• Acute angles measure less than 90°

• This is an example of an acute triangle.

Multiple Choice

Which of these is an acute triangle?

Right Triangle

• A right triangle has one right angle.

• Right angles measure exactly 90°.

• This is an example of a right triangle.

• Notice that all of the angles add up to 180 degrees.

• The angles in a triangle always add up to 180 degrees

Multiple Choice

Which of these is a right triangle?

Obtuse triangle

• An obtuse triangle has one obtuse angle.

• Obtuse angles measure more than 90°.

• This is an example of an obtuse triangle.

Multiple Choice

Which of these triangles is obtuse?

Multiple Choice

In a triangle, how many total degrees are there?

• 100%
• 180 degrees
• it varies
• 360 degrees

Multiple Choice

A student is trying to construct triangles using four different sets of angles. The angles in each set are given below. Which set will form a triangle?

• 45°, 65°, 70°

• 150°, 110°, 100°

• 50°, 50°, 50°

• 90°, 90°, 90°

Multiple Choice

Find the measure of the missing angle.

• 90^o

• 10⁰

• 130^o

• 50^o

Multiple Choice

Find the measure of the indicated angle.

• 95

• 85

• 35

• 45

The Pythagorean Theorem

Hypotenuse

• The longest side of a right triangle

• The side that is opposite (across) from the 90^o angle.

• When using the Pythagorean Theorem, the Hypotenuse is represented by the variable, c.

Fill in the Blanks

How long is the hypotenuse of this triangle?

Leg (of a Triangle)

• The two shorter sides of a right triangle

• The sides that are adjacent to the 90^o angle.

• When using the Pythagorean Theorem, the Legs are represented by the variables, a & b.

Right Triangle

• A right triangle is a triangle with a right angle in it (an angle that is 90^o)

• A triangle can be shown to have a 90^o angle by using a box.

• A right triangle will ALWAYS satisfy the Pythagorean Theorem

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Is it a Right Triangle?

Multiple Choice

Is this a right triangle?

• Yes

• No

Multiple Choice

Is this a right triangle?

• Yes

• No

Multiple Choice

Is this a right triangle?

• Yes

• No

Multiple Choice

Is a triangle with side lengths of 12, 9, and 15 a right triangle?

• Yes

• No

Multiple Choice

Is a triangle with side lengths of 7, 4, and 4 a right triangle?

• Yes

• No

Multiple Choice

Find the missing side.

• 18

• 16

• 17

• 19

Multiple Choice

Find the missing side.

• 11

• 12

• 13

• 14

Multiple Choice

A triangle has legs that are 7 inches and 24 inches long. How long is the hypotenuse?

• 23

• 26

• 28

• 25