Read each problem, then solve. A figure may be drawn to visualize. Write your

complete solution on your paper.

1. In square MATH, the diagonals intersect at S. If MS = 3x + 1 and
AH = 5x +7, find the value of x and the length of the two diagonals.

2. In a trapezoid CAKE with a median OT, AC is 4x +2, OT = 6x, and EK = 7x + 2.
Find the length of AC.

3. In square SLIM, SI and LM intersect at T. If LT = 4x – 1 and MT = 3x + 1, what is
the length of LT.

4. Consider a parallelogram ABCD, with diagonals BD and AC. What is the value of x and y if AB = (3x -5)cm, BC = (2y – 7 )cm, and CD = (x + 7) cm and
AD = ( y + 3).

5. Refer to number 4. What would be the measurement of angle BAD and angle BCD if ∠BAD measures (2c + 25)˚ while ∠BCD measures (3c – 15)​