Chapter 4 Cumulative Review - Free Printable

Educational worksheet: Chapter 4 Cumulative Review. Download and print for classroom or home learning activities.

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1. m∠WXY = 22°, m∠YXZ = 22°
2. m∠WXY = 50°, m∠YXZ = 50°
3. m∠A = 47°, m∠B = 133°
4. m∠A = 84°, m∠B = 96°
5. If two angle measures have a sum of 180°, then the two angles are supplementary.
6. If two angles are not supplementary, then their measures do not sum to 180°.
7. Proof:
- ∠ABD and ∠CBD are right angles (Given)
- m∠ABD = 90°, m∠CBD = 90° (Definition of right angle)
- m∠1 + m∠2 = 90°, m∠3 + m∠4 = 90° (Angle Addition Postulate)
- m∠1 = m∠2 (Given)
- m∠2 + m∠2 = 90° → 2m∠2 = 90° → m∠2 = 45°
- m∠1 = 45°
- m∠3 + m∠4 = 90° and m∠3 = m∠4 (Given)
- m∠4 + m∠4 = 90° → 2m∠4 = 90° → m∠4 = 45°
- m∠3 = 45°
- Therefore, m∠3 = m∠4 = 45° (Proven)
8. x = 22
9. x = 4
10. Slope of AB = 2/3, Slope of CD = 2/3; Lines are parallel.
11. Slope of AB = -1, Slope of CD = -1; Lines are parallel.
12. Slope of AB = 3/2, Slope of CD = 2/3; Lines are neither parallel nor perpendicular.
13. Angle 1 = 50°, Angle 2 = 40°
14. Angle 1 = 70°, Angle 2 = 70°

Parent Tip: Review the logic above to help your child master the concept of geometry worksheet answers mcdougal littell.

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