Question

1. the figure below is a parallelogram which statement must be true

a.) DF is parallel to DE
b.) DF is parallel to EG
c.) FG is parallel to EG
d.) FG is parallel to DF

2. classify the quadrilateral using the name that best describes it
a.) rhombus
b.) trapezoid
c.) rectangle
d.) square

3. which term best completes this statement? All ____ are rectangles
a.) parallelograms
b.) squares
c.) rhombi
d.) none of these

4. which term makes this a true statement? _____rectangles are squares
a.) All
b.) some
c.) no
d.) none of these

5. if MNO = SQR which of the following is true
a.) 0=Q
b.) M=S
c.) MN=SR
d.) NO=RS

Answer 1

1) b.) DF is parallel to EG
2) a.) rhombus
3) d.) none of these
4) b.) some (when length = width)
5) b.) M=S

Answer 2

#1. b.) DF is parallel to EG ; #2. a.) rhombus; #3. b.) squares; #4. b.) some; #5. b.) M=S

Explanation:

#1. In a parallelogram, there are two pairs of parallel sides. Opposite sides are parallel; this means that DE||FG and DF||EG.

#2. All 4 sides are congruent; that makes this a rhombus.

#3. All squares are rectangles. This is because a rectangle is a parallelogram with 4 right angles. A square has is a parallelogram and has 4 right angles, so it is a rectangle.

#4. Some rectangles are squares. A square is a rectangle with 4 congruent sides. This means that a rectangle with 4 congruent sides is a square.

#5. Based on the congruence statement, M = S.