Geometry (Grade 9–10 Core Math) Exam Survival Guide

Must-do topics

• Congruence: proofs with triangles; congruence criteria (SSS, SAS, ASA, AAS).
• Similarity: ratios, scale factors, indirect measurement.
• Right Triangles: Pythagorean theorem; special right triangles; trigonometric ratios.
• Circles: circumference, area, arcs, angles, sector area.
• Solids: volume & surface area of prisms, cylinders, cones, spheres.
• Coordinate Geometry: distance formula, midpoint, slope proofs.

Top traps

• Proofs: mixing up congruence vs similarity.
• Forgetting square root in distance formula.
• Trig ratios: SOHCAHTOA confusion.
• Mislabeling circle parts (radius vs diameter vs chord).
• Volume vs surface area mix-ups.

Quick checks

• Prove △ABC ≅ △DEF using given info.
• Find missing side with Pythagoras.
• sin(θ) = 3/5 → find cos(θ).
• Circle radius 7 → area?
• Find distance between (3,4) and (7,1).

You will make

• Proof Flowcharts.
• Trig Ratio Flash Cards.
• Circle Foldable (all formulas).
• 3D Net Models (cut-and-build).

Daily plan (40 min)

• 10 min proof/logic warm-up.
• 15 min trig/geometry problem solving.
• 15 min applied project (nets, scale drawing).