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?
=G
2. Diagonals of a rectangle are
=C
3. LOTS is a rectangle, if overline LT =18cm , what is the measure of OS.
=E
4. LIMA is a rhombus, If m angle L=98^ 0 then the measure of angle M=
5. How many triangles are formed when one diagonal of a quadrilateral is drawn?
=A
6. diagonals of square MATH intersect at point X, if overline AX =27.5cm, what is the measure of MT?
7. In rhombus ABCD, overline AB =5x-3 and overline BC =2x+12 find the length of DC.
8. In square ABCD. AB = 9x - 387 , and overline CD =19x-817 Find the value of x.
9. Consecutive angle of parallelogram MGCQ have measures (x+40)^ and (2x + 20) ^ c , what is the measure of the smaller angle?
10. In square MASK what is the measure of ZMSK?
A. 2
B. 43
C. Parallel
D. 55cm
E. 18
F.80^
G. Supplementary
H. 45 degrees
.98 degrees
J. 22
K. Congruent
L. 90 degrees
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Answers & Comments
1.in a paralellogram, consecutive angles are supplementary and opposite angles anr congruent.
2.
A retangle is a paralellogram,so its opposite sides are equal The diagonals of a rectangle are equal and bisect each other.