Study Guide — HSG.CO.B.7

Use the definition of congruence in terms of rigid motions to show th…

Use transformations and rigid motions to prove figures are congruent.

What this standard means

• Use the definition of congruence in terms of rigid motions to show that two triangles are congruent if and only if corresponding pairs of sides and corresponding pairs of angles are congruent.
• Apply use the definition of congruence in terms of rigid motions to show th… with models and explanation
• Describes transformations precisely

_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. Name the transformation sequence 2. Mark corresponding parts on diagrams 3. State which congruence criterion applies

_See printable PDF for diagram._

Common mistakes

• Assuming congruence without justification
• Wrong correspondence of vertices

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.CO.B.7.

• [ ] Describes transformations precisely
• [ ] Uses congruence criteria correctly
• [ ] Completes logical proof steps

Materials for this standard

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