1 37 m o 1 2 3 4 Drawing not to scale 29 Find the values of x and y 7x 7 112 4y

# 1 37 m o 1 2 3 4 drawing not to scale 29 find the

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1 37 m   o 1 2 3 4 Drawing not to scale ____ 29. Find the values of x and y . 7x + 7 = 112 4y + 112 = 180 (linear pair) 7x = 105 4y = 68 x = 15 y = 17 112° 4y° 7x + 7° Drawing not to scale 30.Write the converse of the statement. If the converse is true, write true ; if not true, provide a counterexample. If x = 4, then x 2 = 16. Converse: If x 2 = 16, then x = 4. (False, since it could be -4) 31.Complete the paragraph proof. Given: are supplementary, and are supplementary. Prove:
By the definition of supplementary angles, 180 ( a ) and 180 ( b ). Then by _ transitive ( c ). Subtract from each side. You get 3 m ( d ), or 3 ( e ). 32. What are the converse, inverse, and contrapositive of the following true conditional? If a figure is a square, then it is a parallelogram. Converse: If it’s a parallelogram, then it’s a square. Inverse: If it’s not a square, then it’s not a parallelogram. Contrapositive: If it’s not a parallelogram, then it’s not a square. 33. Complete the two-column proof. Given: Prove: Drawing not to scale Given Substitution Vertical Substitution 34. Write the two conditional statements that form the given biconditional. Three points are collinear if and only if they are coplanar. If 3 points are collinear, then they are coplanar. If 3 points are coplanar, then they are collinear.

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• Winter '17
• aydin
• Algebra, Geometry, Contrapositive, right angles, Laisha

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