Geometry Quiz

What is a proportion in geometry?

• When two angles are equal to each other

• When two ratios are equal to each other

• When two shapes have the same area

• When two lines are parallel to each other

What is the equality of cross products in proportions?

• ac = bd

• ad = bc

• ab = ac

• ab = cd

What is the value of x in the proportion 6/5 = x/15?

• 7

• 10

• 8

• 9

If the ratio of boys to girls in a class is 4:3 and there are 20 boys, how many girls are in the class?

• 18

• 12

• 15

• 10

A recipe instructs the cook to use 4 cups of water for each 3 cups of powder. If you used 3 cups of water, how many cups of powder should be added?

• 2

• 5

• 3

• 4

What is the length of the longest side of a triangle if the three sides are in the ratio of 3:5:7 and the perimeter of the triangle is 12 cm?

• 3 cm

• 7 cm

• 9 cm

• 5 cm

In the side splitting theorem, what are corresponding sides?

• Proportional in angle measure

• Proportional in length

• Equal in angle measure

• Equal in length

What is the method to prove triangles similar when given ∠A ≅ ∠D and ∠B ≅ ∠E?

• None of the above

• SSS criteria

• SAS criteria

• AA criteria

What is the correct proportion for the given diagram with sides 5 cm, 4.5 cm, 6 cm, and x?

• x/7 = 5/7

• 5/x = 6/4.5

• 5/x = 7/5

• x/5 = 6/4.5

What is the value of x in the diagram of ∆ACT, BE⃡ ∥ AT̅̅̅̅, if CB = 3, CA = 10, and CE = 6?

• 4

• 2

• 3

• 5