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Geometry 6-4 to 6-6 Quiz Version B
Name: ______________________________
Fill in the blanks with the most appropriate term.
1. If one angle of a parallelogram is a right angle, then the parallelogram is a ________________________.
2. If one diagonal of a parallelogram bisects a pair of opposite angles, then the parallelogram is a
________________________.
3. If the parallelogram is both a _______________________and a ________________________ then the
parallelogram is a square.
4. If one pair of consecutive sides of a parallelogram is congruent, then the parallelogram is a
_______________________.
5. If the diagonals of a parallelogram are _____________________________, then the parallelogram is a
rhombus.
6. If a trapezoid has one pair of congruent base angles, then it is __________________________.
7. If the ______________________________ of a parallelogram are congruent then the parallelogram is a
rectangle.
8. If the quadrilateral is a _________________________ then exactly one pair of opposite angles are
congruent.
In kite CDEF, mCDF = 42°, mEFC = 28°. Find each measure.
9. mCFG ________
10. mGEF ________
11. mDCG ________
12. mDEF ________
13. Which is not necessarily a rhombus?
A
B
C
D
14. Which MUST be a square?
15. A trapezoid midsegment measures 8. One of the bases measures 12. What is the measure of the other
base?
16. WXYZ is a rhombus. Solve for x and find the mPXW
x = ___________
mPXW = ________
17. Use the diagonals to determine whether the parallelogram is a rectangle, rhombus or square.
Hint: You must use the distance formula and the slope formula. SHOW ALL WORK.
P(-4, 6) Q(2, 5) R(3, -1), S(-3, 0)
It is a (circle one): Rectangle
18. Complete the proof.
A
Rhombus
E
Square
B
Given: AED  BEC
ABCD is a rectangle
Prove: ADE  BCE
D
Statement
1. ABCD is a rectangle
AED  BEC
2. EAD and EBC are right angles
Reason
1. Given
3. EAD  EBC
3. Right Angle Congruence Postulate
4. ABCD is a parallelogram
4.
5. AD  BC
5.
6. ∆DAE  ∆CBE
6.
7.
7.
2.
C
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