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Core Connections Integrated II, 2015

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Core Connections Integrated II, 2015 View details

1. Section 7.1

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Exercise 39 Page 387

From the diagram we can identify three types of angle pairs: alternate interior angles, corresponding angles and vertical angles.

See solution.

Practice makes perfect

Examining the diagram, we notice a few angle pairs.

Since AD∥ EH and BF∥ CG, by the Alternate Interior Angles Theorem and Corresponding Angles Theorem we can claim that a=b and b=c. Also, by the Vertical Angles Theorem we can also claim that c=d. With this information, we have enough to complete the proof.

Statement	Reason
1. AD∥ EH	1. Given
2. a=b	2. Alternate Interior Angles Theorem
3. BF∥ CG	3. Given
4. b=c	4. Corresponding Angles Theorem
5. a=c	5. Transitive Property of Equality
6. c=d	6. Vertical Angles Theorem
7. a=d	7. Transitive Property of Equality

Subchapter links

7.1.1 Explore–Conjecture–Prove p.376-379

7.1.2 Properties of Rhombi p.382-383

7.1.3 Two-Column Proofs p.387-388

7.1.4 More Geometric Proofs p.390-391

7.1.5 Using Similar Triangles to Prove Theorems p.395-396