Geometry DC CAPE Practice Questions

Calculate the area of a triangle with a base of 10 units and a height of 5 units.

• 25

• 30

• 50

• 75

Determine the length of the hypotenuse in a right-angled triangle with legs measuring 6 units and 8 units.

• 8

• 10

• 6

• 14

In a regular hexagon, each interior angle measures:

• 120 degrees

• 100 degrees

• 140 degrees

• 90 degrees

If two parallel lines are cut by a transversal, and one of the alternate interior angles measures 75°, then the corresponding exterior angle is:

• 75°

• 105°

• 90°

• 180°

A circle has a radius of 7 units. Calculate its circumference.

• 14

• 14π

• 49

• 7π

In the coordinate plane, the distance between the points (3, 4) and (7, 1) is:

• 5

• 6

• 7

• 8

Determine the equation of a line passing through the points (2, 3) and (4, 7).

• y = 2x - 1

• y = 2x + 1

• y = -2x + 7

• y = 2x - 3

Find the volume of a cylinder with a radius of 3 units and a height of 10 units.

• 90π

• 45π

• 30π

• 60π

If the diagonals of a rhombus are 8 units and 6 units, then the area of the rhombus is:

• 24 square units

• 14 square units

• 48 square units

• 28 square units

A square and a rectangle have the same area. Given the side length of the square is 5 units and the length of the rectangle is 10 units, the width of the rectangle is:

• 2.5 units

• 5 units

• 10 units

• 25 units