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Big Ideas Math Integrated I, 2016

BI

Big Ideas Math Integrated I, 2016 View details

6. Describing Pairs of Angles

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Exercise 2 Page 425

When two angles are adjacent, they share a common side and vertex.

∠ KGHand∠ LKG: No
∠ FGKand∠ FGH: No

Practice makes perfect

When two angles are adjacent, they share a common side and vertex. Looking at ∠ KGH and ∠ LKG, we can see that they share a common side KG, but they have different vertices.

Now, let's examine ∠ FGK and ∠ FGH.

As we can see, they share both a common side GF, and vertex G. However, adjacent angles cannot share any common interior points. In other words, they cannot overlap. These angles overlap and, therefore, cannot be adjacent.

Subchapter links

Communicate Your Answer p.423

Monitoring Progress p.425-427

Exercises p.428-430