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Geometry Regents at Random Worksheets - JMap

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179 ANS:<br />

2x − 20 = x + 20.<br />

mAB = x + 20 = 40 + 20 = 60<br />

x = 40<br />

PTS: 2<br />

180 ANS: 1<br />

REF: 011229ge STA: G.G.52 TOP: Chords<br />

7x + 4 = 2(2x + 5) . PM = 2(2) + 5 = 9<br />

7x + 4 = 4x + 10<br />

3x = 6<br />

x = 2<br />

PTS: 2 REF: 011226ge STA: G.G.43 TOP: Centroid<br />

181 ANS: 1<br />

The length of the midsegment of a trapezoid is the average of the lengths of its bases.<br />

x + 3 + 5x − 9<br />

2<br />

ID: A<br />

= 2x + 2.<br />

6x − 6 = 4x + 4<br />

2x = 10<br />

PTS: 2 REF: 081221ge STA: G.G.40 TOP: Trapezoids<br />

182 ANS:<br />

∠B and ∠C are right angles because perpendicular lines form right angles. ∠B ≅ ∠C because all right<br />

angles are congruent. ∠AEB ≅ ∠DEC because vertical angles are congruent. ABE ≅ DCE because of<br />

ASA. AB ≅ DC because CPCTC.<br />

PTS: 4 REF: 061235ge STA: G.G.27 TOP: Triangle Proofs<br />

183 ANS: 4<br />

20 + 8 + 10 + 6 = 44.<br />

PTS: 2 REF: 061211ge STA: G.G.42 TOP: Midsegments<br />

x = 5

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