By Lorenza Luster and Helen Benyard Luster

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14243 1442443 s s S &o not o b If it is not October, then my watch has stopped. 1442443 1442443 not o c &o S w w It is not September, and my watch has not stopped. 1442443 123 14444244443 ٚ not s &s ٙ &w not w Note: In a conjunction (a ٚ b) and a disjunction (a ٚ b), the order of the symbols does not matter. For example, & p ٚ & r is equivalent to & r ٚ & p. Model Problem 2 Solution Write the following sentences in symbolic form. a mЄA ϭ 90° and mЄA ϭ mЄB. ” STATEMENT IN WORDS SYMBOL a mЄA ϭ 90° and mЄA ϭ mЄB.

Proving Lines Parallel • 21 10. Given: D(3, 0), C(Ϫ2, 4), and W(6, 0). 11. y The measure of ЄEFA is 40° and the measure of ЄDEF is 80°. E B C (– 2, 4) W (6, 0) x A D (3, 0) G (1, 4) H (2, Ϫ5) J (Ϫ4, 1) Objective: C F Which of the following angles must also measure 40° in order for BC to be parallel to EF? A ЄBAF B ЄEDF C ЄBCA D ЄBCF Q T QT Which coordinates for X will make CD ʈ WX? 11 ❐ The student will construct a line segment congruent to a given line segment, the bisector of a line segment, a perpendicular to a given line from a point not on the line, a perpendicular to a given line at a point on the line, the bisector of a given angle, and an angle congruent to a given angle.

Construct a line perpendicular to line t passing through X. X t Straightedge and Compass: Step 1. With X as the center, draw an arc that intersects line t at two points. Label these points A and B. X t A B X Step 2. Open the compass to more Q T than half the length of AB. With A as the center, draw an arc below line t. A B X Step 3. With the same compass setting, place the tip of the compass on B and draw an arc below line t. Label the intersection Y. B t A Y Constructions with Compass and Straightedge—Working with Angles • 25 Step 4.