Post on 13-Jan-2016
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Consecutive angles of a rhombus are supplementary
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:Solutions 1,6,3,2,5,2
Statement Reason
1. Given
anglesright are E and B 4. 4. Perpendicular segments form right angles
BEAB 1.2. Given BEDE 2.
DEFABC ~ 9. AAAA .9
ECABFD 3. 3. Given
5. EB 5. All right angles are congruent
pairlinear a form and pairlinear a form and 6.
ACBECADFEBFD
6. Two adjacent angles that form a
straight line are a linear pair
arysupplement are and arysupplement are and 7.
ACBECADFEBFD
7. Linear pairs are supplementary
ACBDFE 8. 8. Supplements of congruent angles are congruent.
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Since all four sides are congruent, quadrilateral MATH is a rhombus.
Since the slopes of consecutive sides are not negative reciprocals, they are not perpendicular and do not form a right angle.
Therefore, MATH is not a square.