California Geometry: Concepts, Skills, and Problem Solving by Cindy J. Boyd

By Cindy J. Boyd

Unit 1: Geometric constitution. Unit 2: Congruence. Unit three: Similarity. Unit four: Two-and Three-Eimensional size. criteria evaluation. 846 pages.

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Step 3 Use a straightedge to draw PQ . Label the point where it −− intersects XY as M. Point M is the midpoint −− of XY, and PQ is a −− bisector of XY. Also 1 XM = MY = _XY. 2 P X Y P X M Y X Q Example 1 (p. 21) Example 2 (p. 22) Y Q Use the number line to find each measure. 1. AB 2. CD C A D B –4 –3 –2 –1 0 1 2 3 4 5 6 7 8 9 10 11 3. Use the Pythagorean Theorem to find the distance between X(7, 11) and Y(-1, 5). 4. Use the Distance Formula to find the distance between D(2, 0) and E(8, 6). Example 3 (p.

The latitude, longitude, degree distance, and monthly high temperature can be used to create several different scatter plots. geometryonline. com to continue work on your project. x O M ) x1 ϩ2 x2, y1 ϩ2 y2 ) Find Coordinates of Midpoint −− TEMPERATURE Find the coordinate of the midpoint of PQ. The coordinates of P and Q are -20 and 40. −− Let M be the midpoint of PQ. 60 50 40 Q 30 M=_ -20 + 40 2 20 =_ or 10 2 20 a = -20, b = 40 10 0 Simplify. –10 The midpoint is 10. –20 P –30 3. TEMPERATURE The temperature dropped from 25° to -8°.

Make a conjecture about the term angle bisector. 34 Chapter 1 Tools of Geometry Red Habegger/Grant Heilman Photography A ray that divides an angle into two congruent angles is called an angle bisector. If PQ is the angle bisector of ∠RPS, then point Q lies in the interior of ∠RPS, and ∠RPQ ∠QPS. A line segment can also bisect an angle. Q R S P Just as with segments, when a line divides an angle into smaller angles, the sum of the measures of the smaller angles equals the measure of the largest angle.

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