Math Geometry Review

A model is made of a car. The car is 9 feet long and the model is 6 inches long. What is the ratio of the length of the car to the length of the model?

• 18:1
• 1:18
• 9:6
• 6:9

Red and grey bricks were used to build a decorative wall. The number of red bricks 5 to the number of grey bricks 2. There were 175 bricks used in all. How many red bricks were used?

• 25
• 125
• 60
• 84

The measures of the angles of a triangle are in the extended ratio 3:5:7. What is the measure of the smallest angle?

• 12
• 36
• 60
• 84

7/9 = m/27

• 1/21
• 21
• 3
• 7/3

Figure TQRS ∼ BCDE. What are the pairs of congruent angles?

• ∠R ≅ ∠D
  ∠Q ≅ ∠E
  ∠T ≅ ∠B
  ∠S ≅ ∠C
• ∠R ≅ ∠D
  ∠S ≅ ∠B
  ∠Q ≅ ∠C
  ∠T ≅ ∠E
• ∠S ≅ ∠D
  ∠R ≅ ∠E
  ∠T ≅ ∠B
  ∠Q ≅ ∠C
• ∠R ≅ ∠D
  ∠S ≅ ∠E
  ∠T ≅ ∠B
  ∠Q ≅ ∠C

You want to draw an enlargement of a design that is printed on a card that is 4 in. by 5 in. You will be drawing this design on a piece of paper that is 8 ½ in. by 11 in. What are the dimensions of the largest complete enlargement you can make? 

• 1 ⅗ in by 10 ⅝ in
• 1 ⅗ in by 4 ⅜ in
• 8 ½ in by 4 ⅜ in
• 8½ in by 10 ⅝ in

In a scale drawing of the solar system, the scale is 1 mm = 500 km. For a planet with a diameter of 5000 kilometers, what should be the diameter of the drawing of the planet?  

• 10 millimeters
• 25000000 millimeters
• 100 millimeters
• 5000 millimeters

Michele wanted to measure the height of her school's flagpole. She placed a mirror on the ground 48 feet from the flagpole, then walked backwards until she was able to see the top of the pole in the mirror. Her eyes were 5 feet above the ground and she was 12 feet from the mirror. Using similar triangles, find the height of the flagpole to the nearest tenth of a foot. 

• 20 ft
• 38.4 ft
• 55 ft 
• 25 ft

Find the geometric mean of 6 and 10

• √66
• √70
• 60
• 2⋅√15

Ray LO bisects ∠NLM, LM = 18, NO = 4, and LN = 10. What is the value of OM?

• 7.2
• 45
• 5.43
• 2.22