Geometry B.E.S.T

g

e

b

Symmetric

Transitive

Reflexive

A right square pyramid and a sphere are made of marble. The dimensions of each figure, in feet (ft), are shown.

The density of marble is 160 pounds per cubic foot.

What is the difference, in pounds, between the weight of the sphere and the weight of the pyramid? Round your answer to the nearest hundredth.

Mathematical Equivalence

ON

What is the exact surface area, in square feet, of the figure?

Mathematical Equivalence

ON

If this is a right triangle, find the measure of x to the nearest hundredth.

• 42°

• 41.98°

• 41.99°

• 45°

A rectangle and a vertical line are shown.

Which object is generated by rotating the rectangle about the vertical line?

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• 
• 
• 

• 2

• 4

• -3

• -1

• congruent and perpendicular

• congruent but not perpendicular

• perpendicular but not congruent

• not perpendicular and not congruent

The preimage and image of a circle are shown. The center of circle G is at (0,0), and the center of circle G' is at (1,1). The radius of circle G is 5 units, and the radius of circle G' is 4 units. The sequence of transformations applied to circle G to create circle G' is shown. (x,y)→(cx,cy) (x,y)→(x+d,y+d) What is the value of c?

Mathematical Equivalence

ON

A figure is shown. Select the values to complete the trigonometric ratio. \tan\left(\theta\right)= ​ \blank id="gzBn385UMcqw}"\blank> / ​ \blank id="URmigf8uh4mW}"\blank>

• 2

• 6

The equation of a circle is shown. Choose the values to show the coordinates of the center and the length of the radius of the circle. ​Center: (​ (a)   ,​ (b)   ) Radius: ​ (c)   units

• -4

• 6

• 5

• -6

• 4

• 7

• 8