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Geometry 6-4 to 6-6 Quiz Version A
Name: ______________________________
Fill in the blanks with the most appropriate term.
1. If one pair of consecutive sides of a parallelogram is congruent, then the parallelogram is a
_______________________.
2. If the diagonals of a parallelogram are _____________________________, then the parallelogram is a
rhombus.
3. If the parallelogram is both a _______________________and a ________________________ then the
parallelogram is a square.
4. If the quadrilateral is a _________________________ then exactly one pair of opposite angles are
congruent.
5. If the ______________________________ of a parallelogram are congruent then the parallelogram is a
rectangle.
6. If a trapezoid has one pair of congruent base angles, then it is __________________________.
7. If one diagonal of a parallelogram bisects a pair of opposite angles, then the parallelogram is a
________________________.
8. If one angle of a parallelogram is a right angle, then the parallelogram is a ________________________.
9. WXYZ is a rhombus. Solve for x and find the mPXW
x = ___________
mPXW = ________
10. 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
Rhombus
Square
E
A
11. Complete the proof.
B
Given: AED  BEC
ABCD is a rectangle
Prove: ADE  BCE
D
C
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.
12. A trapezoid midsegment measures 6. One of the bases measures 10. What is the measure of the other
base?
In kite CDEF, mCDF = 38°, mEFC = 24°. Find each measure.
13. mCFG ________
14. mGEF ________
15. mDCG ________
17. Which MUST be a square?
16. mDEF ________
18. Which is not necessarily a rhombus?
A
B
C
D
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