Study Guide — HSG.SRT.B.5

Use congruence and similarity criteria for triangles to solve problem…

Establish similarity with dilations and use proportions in triangles.

What this standard means

• Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures.
• Apply use congruence and similarity criteria for triangles to solve problem… with models and explanation
• Proves or identifies similarity

_See printable PDF for diagram._

How to use the 20 practice sets

| Sets | When to use | | --- | --- | | 1–5 | Intro — explore together, short written items | | 6–10 | Core skills — diagrams and written practice | | 11–15 | Mixed review — explain thinking | | 16–20 | Stretch — word problems and mastery tasks |

Pacing: 10–15 minutes per session.

How to practice

1. Set up proportions from similar triangles 2. Use trig ratios in right triangles 3. Scale lengths by the similarity ratio

_See printable PDF for diagram._

Common mistakes

• Mismatching corresponding sides
• Trig ratio on wrong angle

Review and practice tests

1. Start Review 1/10 when sets 1–3 feel comfortable. 2. Move up one review level with little help. 3. Use Practice Test 4/10–6/10 for mid-standard checks. 4. Practice Test 10/10 is the mastery bar for HSG.SRT.B.5.

• [ ] Proves or identifies similarity
• [ ] Solves proportions from similar figures
• [ ] Applies trig ratios correctly

Materials for this standard

• Practice Problems — 20 printable sets
• Review — 10 difficulty levels
• Practice Test — 10 difficulty levels
• Answer key — for parents and tutors