Complete this quiz after finishing Modules 2.17–2.21 (Geometry & Trigonometry). You should be able to answer every question without referring back to the modules. If you get stuck, reread that section.

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Part A

Multiple Choice

This section tests your understanding of lines and angles, triangles, circles, volume, and trigonometry.

1A student needs to find the missing leg of a right triangle with hypotenuse 13 and one leg 5. Which approach is fastest?*

A) Use the Law of Sines B) Apply the Pythagorean theorem: 5² + b² = 13² C) Use SOHCAHTOA with a given angle D) Recognize it as a 5-12-13 Pythagorean triple

Please select an answer.

2A circle has a central angle of 60° and a radius of 6. What is the arc length?*

A) 2π B) 3π C) π D) 6π

Please select an answer.

3Two parallel lines are cut by a transversal. A student identifies a pair of angles as supplementary, but they are actually congruent. Which angle relationship did they confuse?*

A) Vertical angles vs. corresponding angles B) Alternate interior angles vs. co-interior (same-side interior) angles C) Adjacent angles vs. supplementary angles D) Complementary angles vs. supplementary angles

Please select an answer.

4A student asks which volume formulas they need to memorize for the SAT. What is the most accurate answer?*

A) Only rectangular prism and cylinder — the rest must be memorized B) All major volume formulas are on the SAT reference sheet C) None are provided — all must be memorized D) Only sphere and cone must be memorized

Please select an answer.

5In a right triangle, sin(θ) = 3/5. What is cos(θ)?*

A) 3/4 B) 4/5 C) 5/3 D) 4/3

Please select an answer.

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Part B

Short Answer

Respond in your own words.

6Explain how you would teach a student to solve a "similar triangles" problem. What is the key setup step most students miss?*

Please answer this question.

7A student is confused about when to use sin, cos, or tan. What is your go-to explanation? How do you make SOHCAHTOA stick?*

Please answer this question.

8Describe how Desmos can help with circle problems. Be specific about what you type and what you read from the graph.*

Please answer this question.

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Part C

Teaching Scenario

This puts you in a tutoring session. Respond in your own words.

9A high-scoring student (680+) is losing points on hard geometry questions involving circles inscribed in squares or triangles within circles. What is likely missing from their toolkit, and how do you build it in one session?*

Please answer this question.

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What Comes Next

Teach-Back and Check-In

Nice work finishing Geometry & Trigonometry (Modules 2.17–2.21). You've covered lines and angles, triangles, circles, volume, and trigonometry, the core toolkit you'll lean on in most Geometry & Trig lessons. Before wrapping up the Math track, you'll walk a trainer through a couple of these concepts the way you'd walk a student through it. Pick who you're meeting with below, and they'll reach out to find a time.

Pick the trainer that you'll meet for the teach-back lesson*

Please pick a trainer.

Any comments or questions before the meeting?

Geo & Trig Tutor Assessment

Multiple Choice

Short Answer

Teaching Scenario

Teach-Back and Check-In

You're all set