By Lorenza Luster and Helen Benyard Luster
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Additional info for Amsco's Virginia: Preparing for the SOL Geometry Test
If you earn a good grade on the test, then your parents will be happy. Therefore, if you study hard, then your parents will be happy. ” STATEMENT IN WORDS SYMBOL If you study hard, then you will earn a good grade on the test. 1442443 14444444244444443 p We use the symbol І to represent the word therefore. pSq q If you earn a good grade on the test, then your parents will be happy. q S r 144444424444443 14444244443 q r Therefore, if you study hard, then your parents will be happy. 123 1442443 14444244443 І p ІpSr r This is an example of the law of syllogism.
T W (3x + 5)° 7x ° (2x + 13)° 4(x + 9)° O x° U F G H J 5. 2° Two supplementary angles are in the ratio of 13:5. Find the measures of the two angles. A 65° and 25° B 130° and 50° C 143° and 55° D 260° and 100° A B C D 8. V 13° 15° 21° 84° Given: ЄABE is a right angle, mЄ3 ϭ (2x ϩ 5), mЄ4 ϭ 3x. E F D 1 A 2 3 B 4 C What is mЄ3? 3, 4, and 11 • 35 9. Given: p ʈ q. 11. 1 T T WY will be parallel to XP when which of the following is true? Z p Y W q 11 X P Why is Є1 congruent to Є11? A If two parallel lines are cut by a transversal, then alternate exterior angles are congruent.
X Construct an angle congruent to ЄX. Straightedge and Compass: Step 1. T Draw a ray and label it AB. Step 2. Open the compass to a convenient radius. With X as the center, draw an arc intersecting the sides of ЄX. Label the intersections Y and Z. Step 3. Step 4. With the same compass settings from Step 2, use A as the center to draw an arc that is the same size as the arc from Step 2. Label C the T intersection of the arc and AB. A B Y X Z A C B C B Adjust your compass to correspond to the distance between Y and Z.