Geometry Readiness Test
A free Geometry lesson from the “Coordinate Geometry and Proof” unit, with a worked example and practice problems including step-by-step solutions.
The Geometry readiness test samples angles, triangles, congruence, similarity, right triangles, measurement, circles, transformations, coordinate geometry, and proof reasoning. In Coordinate Geometry and Proof, students need to read the diagram, name the relationship, choose a theorem or formula, and justify why the result follows. The expanded practice now includes fluency, transfer, cumulative review, and proof-style reasoning so Geometry feels connected instead of isolated by topic.
What you'll learn
- Demonstrate Geometry readiness
- Use mixed geometry strategies
- Prepare for proof and coordinate work
Worked example
Problem. Find the midpoint of (2, 8) and (10, 4).
- Average x-values: (2 + 10)/2 = 6.
- Average y-values: (8 + 4)/2 = 6.
- The midpoint is (6, 6).
- Connect the result back to Geometry Readiness Test so the geometric relationship is explicit.
Answer: (6, 6)
Lesson preview: this page shows 5 practice items. The interactive activity contains 40 practice items and 60 quiz items (typed response and multiple choice). Counts include repeated prompts and variants.
Practice problems
1. An angle is supplementary to 136 degrees. What is its measure?
Show solution
- 180 - 136 = 44.
Answer: 44
2. A triangle has angles 48 and 57 degrees. Find the third angle.
Show solution
- 180 - 105 = 75.
Answer: 75
3. Same-side interior angles include 112 degrees. What is the other angle?
Show solution
- 180 - 112 = 68.
Answer: 68
4. Which shortcut uses two angles and a non-included side?
Choices: AAS · SAS · SSS · HL
Show solution
- Angle-angle-side.
Answer: AAS
5. A side of 8 scales by factor 2.5. What is the new length?
Show solution
- 8 x 2.5 = 20.
Answer: 20
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