Geometry Review Quiz #1

In the diagram below, △ABC is reflected over line ℓ to create △DEF. If m∠A = 40° and m∠B = 95°, what is m∠F?

• 40°

• 45°

• 85°

• 95°

The diagram below shows triangle ABC with point X on side AB and point Y on side CB. Which information is sufficient to prove that △BXY ~ △BAC?

• ∠B is a right angle.

• XY is parallel to AC.

• △ABC is isosceles.

• AX ≅ CY

A quadrilateral has diagonals that are perpendicular but not congruent. This quadrilateral could be

• a square

• a rhombus

• a rectangle

• an isosceles trapezoid

What is the measure of ∠A, to the nearest degree?

• 36°

• 39°

• 51°

• 54°

The Pyramid of Memphis, in Tennessee, stands 107 yards tall and has a square base whose side is 197 yards long. What is the volume of the Pyramid of Memphis, to the nearest cubic yard?

• 751,818

• 1,384,188

• 2,076,212

• 4,152,563

A square is graphed on the set of axes below, with vertices at (-1, 2), (-1, -2), (3, -2), and (3, 2). Which transformation would not carry the square onto itself?

• reflection over the y-axis

• reflection over the x-axis

• rotation of 180 degrees around point (1, 0)

• reflection over the line y = x - 1

A plane intersects a cylinder perpendicular to its bases. This cross section can be described as a:

• rectangle

• parabola

• triangle

• circle

On the set of axes below, rectangle WIND has vertices with coordinates W(-4, 2), I(4, 0), N(3, -4), and D(-5, -2). What is the area of rectangle WIND?

• 17

• 31

• 32

• 34

In parallelogram ABCD shown below, BE bisects ∠ABC. If m∠A = 40°, then m∠BED is

• 40°

• 70°

• 110°

• 140°

What are the coordinates of the center and the length of the radius of the circle whose equation is x² + y² - 12y - 20.25 = 0?

• center (0, 6) and radius 7.5

• center (0, -6) and radius 7.5

• center (0, 12) and radius 4.5

• center (0, -12) and radius 4.5