McGraw Hill Integrated II, 2012
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McGraw Hill Integrated II, 2012 View details
Mid-Chapter Quiz
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Exercise 17 Page 504

Recall the theorem that states if a quadrilateral is a parallelogram, then its diagonals bisect each other.

t=7, s=13

We want to find the values of s and t in parallelogram WXYZ. For convenience, let's call the point of intersection of the diagonals T.

Recall the following theorem.

If a quadrilateral is a parallelogram, then its diagonals bisect each other.

Therefore, the following segments are congruent. WT ≅ TZ and YT ≅ TX By the definition of congruent segments, we can conclude that their lengths are equal. WT = TZ and YT = TX Let's create a pair of equations by substituting the lengths of the segments into these equations. 8 = 2t - 6 and 6 = s - 7 Let's first solve the t.
8 = 2t - 6
14 = 2t
7 = t
t = 7
Now, let's solve the second equation for s.
6 = s - 7
13 = s
s = 13