K12worX
Back to Tutor Intake Assessment: Geometry

ACT Geometry - Tutor Intake Assessment

This is a spot-check intake covering the highest-leverage ACT geometry
skills. The goal is to surface where your understanding breaks down so we
can plan the next several sessions — not to grade you. Work the problems
as you would on the ACT (no formula sheet). If you don't see how to start
a problem, move on and we'll discuss it together.

Grade 10·12 problems·~15 min·ACT Math·category·act-geo
Work through problems with immediate feedback
A

Concepts

1

A triangle has side lengths 6, 8, and 11. Which of the following best
classifies the triangle?

2

Which of the following sets of side lengths forms a right triangle?

B

Procedures

1

A right triangle has a hypotenuse of length 17 and one leg of
length 8. What is the length of the other leg?

2

Triangles ABC and DEF are similar with AB corresponding to DE.
AB = 6, BC = 9, and DE = 10. What is the length of EF?

3

A circle has a diameter of 14. What is the area of the circle, in
terms of pi?

4

What is the distance between the points (-2, 3) and (6, 9) in the
coordinate plane?

5

A triangle has a base of 12 and a perpendicular height of 5 from
that base to the opposite vertex. What is the area of the
triangle?

6

A rectangular prism (box) has dimensions 4 by 5 by 6. What is its
volume?

7

In a right triangle, the angle theta is acute. The side opposite
theta has length 5 and the hypotenuse has length 13. What is
cos(theta)? Write your answer as a fraction in lowest terms.

You're viewing 2 of 3 sections.

Create a free account to continue the full exercise set and save your progress.

Create free account
0 of 9 answered

Answer all problems to submit.

Was this practice set helpful?
Report a problem with this page