Geometry Common Core Review

The surface of the roof of a house is modeled by two congruent rectangles with dimensions 40 feet by 16 feet, as shown below. Roofing shingles are sold in bundles. Each bundle covers 33 1/3 square feet. What is the minimum number of bundles that must be purchased to completely cover both rectangular sides of the roof?

• 20

• 2

• 39

• 4

Right triangle MET, altitude ES is drawn to hypotenuse MT. If ME = 6 and SM = 4, what is MT?

• 9

• 8

• 5

• 4

In circle O, secants CFD and CHE are drawn from external point C. If m of arc DE = 136° and m∠C = 44°, then m of arc FH is:

• 46°

• 48°

• 68°

• 88°

In parallelogram ABCD with AC perpendicular to BD, AC = 12 and BD = 16. What is the perimeter of ABCD?

• 10

• 24

• 40

• 56

Parallelogram EATK has diagonals ET and AK. Which information is always sufficient to prove EATK is a rhombus?

• EA ⊥ AT

• EA ≅ AT

• ET ≅ AK

• ET ≅ AT

A small town is installing a water storage tank in the shape of a cylinder. The tank must be able to hold at least 100,000 gallons of water. The tank must have a height of exactly 30 feet. [1 cubic foot holds 7.48 gallons of water] What should the minimum diameter of the tank be, to the nearest foot?

• 12

• 24

• 65

• 75

A sandbox in the shape of a rectangular prism has a length of 43 inches and a width of 30 inches. Jack uses bags of sand to fill the sandbox to a depth of 9 inches. Each bag of sand has a volume of 0.5 cubic foot. What is the minimum number of bags of sand that must be purchased to fill the sandbox?

• 14

• 13

• 7

• 4

The statement "an angle is a right angle if and only if its measure is 90^o" is an example of what type of statement?

• Conditional

• Conjecture

• Biconditional

Given: ∠1 and ∠3 are vertical angles. What should you conclude by the vertical angles theorem?

• undefined andundefined are right angles.

∠2 & ∠6 are...

• Supplementary angles

• Vertical angles

• Corresponding angles

• Alternate interior angles