ABCD is a parallelogram.
1.
2.
Which statement about ABCD is not true?
A AB  CD
B AC  BD
C AD  BC
If AB  4.7 cm and BD  10.6 cm,
what is CD? ____________
3. What is true about ABC?
A ABC is supplementary to ∠𝐴𝐷𝐶
B ABC is congruent to ∠𝐴𝐷𝐶
C ABC is congruent to BEC.
4. Which statement about a rhombus and a rectangle
is true?
A Both have congruent diagonals.
B Both have perpendicular diagonals.
C Both have diagonals that bisect each other.
8. Determine the word belonging in each blank.
A
A square is ______?______ a parallelogram.
always
sometimes
never
B
A parallelogram is ______?______ a rhombus.
always
sometimes
never
C
A kite is ______?______ a quadrilateral.
always
sometimes
never
9.State whether the following are true or false for
any parallelogram.
A Opposite sides are congruent.
True
B Consecutive angles are congruent.
True
False
C Diagonals bisect each other.
True
False
D Opposite sides are parallel.
True
ABCD is a quadrilateral with BE  ED.
False
False
Use the figure for 10–12.
FIHG is a rhombus.
5. If EC  10 cm and AE  3x  5, for what value
of x is ABCD a parallelogram?
________________________________________
6. What theorem or postulate is used to prove
ABCD is a parallelogram?
10. The perimeter of FIHG is 32 cm. What is the
measure of ̅̅̅̅
𝐹𝐺 ?
________________________________
11. What is the measure of ∠𝐻𝐺𝐼? _________
________________________________________
7. Which choice completes the theorem?
If the diagonals of a quadrilateral bisect each
other, then ___________.
A the quadrilateral is a kite
B the quadrilateral is a parallelogram
C the quadrilateral is a trapezoid
12. Can you find the measure of ∠𝐼𝐹𝐺? If so, give
the measure. If not, explain why not.
____________________________________
____________________________________
ABCD is a kite.
𝑊𝑋𝑌𝑍 is a trapezoid.
W
Z
X
Y
13. 𝑚∠𝑊 = (3𝑥 + 10)° and 𝑚∠𝑋 = (2𝑥 + 45)°
What is the value for x? ___________
17. If 𝑚∠𝐵𝐶𝐷 = 100° , what is 𝑚∠𝐶𝐵𝐷?


Use the figure for 14–15.
ABCD is a quadrilateral with BE  ED.
GIJL is a trapezoid with midsegment HK .
18. Given that EC  8.4 cm, what is the measure
of AE so that ABCD is a parallelogram?
14. Which statement is not true?
A IH  JK
B
HK GL
C IH  HG
Quadrilateral ABCD is shown.
15. If IJ  2 ft and GL  6 ft, what is the length of
HK?
16. STUV is a parallelogram. What must be true
for SU and TV in order for STUV to be a
square?
19. Is it possible to determine m B ? Explain
your reasoning and give the measure if
possible.