Solve the following problems using the definition and properties of parallelograms. Connect each correct answer to the corresponding questions on the diagram provided. When all answers and letters are connected to each other, special parallelograms will be revealed and color it according to the description given. BLUE - a parallelogram with four right angles RED - a parallelogram with four congruent sides VIOLET - parallelogram with four congruent sides and four right angles 1. What is the relationship between the consecutive angles of a parallelogram? 2. Diagonals of a rectangle are. 3. LOTS is a rectangle, if LT = 18cm, what is the measure of OS. 4. LIMA is a rhombus, If mzL = 98°, then the measure of ZM 5. How many triangles are formed when one diagonal of a quadrilateral is drawn? 6. Diagonals of square MATH intersect at point X, if AX = 27.5cm, what is the measure of MT? 7. In rhombus ABCD, AB = 5x-3 and BC = 2x + 12, find the length of DC. 8. In square ABCD. AB = 9x -387, and CD = 19x -817. Find the value of x. 9. Consecutive angle of parallelogram MGCQhave measures (x + 40)° and (2x +20)°, what is the measure of the smaller angle? 10. In square MASKwhat is the measure of ZMSK? %3! А. 2 В. 43 C. Parallel 2 D. 55cm K E. 18 F. 800 G. Supplementary Н. 450 I. 980 H 10 J. 22 F K. Congruent L. 900

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