CHSPE Mathematics - Measurement and Geometry 2

Question 1

What is the area of a triangle with a base of 14 cm and a height of 9 cm?

Accepted Answer

63 square cm

Answer

Area of a triangle = ½ × base × height = ½ × 14 × 9 = 63 square cm.

Question 2

Two triangles are similar. The sides of the smaller triangle are 3, 4, and 5. If the longest side of the larger triangle is 15, what is the scale factor?

Accepted Answer

3

Answer

The scale factor is 15 ÷ 5 = 3, meaning each side of the larger triangle is 3 times the corresponding side of the smaller triangle.

Question 3

A point is located at (3, -4) on a coordinate plane. In which quadrant does this point lie?

Accepted Answer

Quadrant IV

Answer

Quadrant IV contains points where x is positive and y is negative, which matches (3, -4).

Question 4

A figure is reflected across the y-axis. If the original point was at (5, 2), where is the reflected point?

Accepted Answer

(-5, 2)

Answer

Reflecting across the y-axis negates the x-coordinate while keeping the y-coordinate the same, giving (-5, 2).

Question 5

Two parallel lines are cut by a transversal. If one interior angle measures 65°, what is the measure of its co-interior (same-side interior) angle?

Accepted Answer

115°

Answer

Co-interior angles (also called consecutive interior angles) are supplementary and sum to 180°, so 180° − 65° = 115°.

CHSPE - California High School Proficiency Examination Practice Test

CHSPE - California High School Proficiency Examination Practice Test

CHSPE Mathematics - Measurement and Geometry 2