1. has all right angles and has all sides congruent
1.) Which description does NOT guarantee that a quadrilateral is a square?
has all right angles and has all sides congruent A
is a parallelogram with perpendicular diagonals B
b. correct
is both a rectangle and a rhombus C
has all sides congruent and all angles congruent D

2. 2. ) In the rhombus, m3 = 30 z, m2 = y + x, and m1 = 18x
2.) In the rhombus, m3 = 30 z, m2 = y + x, and m1 = 18x. Find the value of each variable.
x = 5, y = 175, z = 6
d. correct A
x = 10, y = 85, z = 6 B
x = 10, y = 175, z = 3 C
x = 5, y = 85, z = 3 D

3. 3. ) Parallelogram ABCD has the angle measures shown
3.) Parallelogram ABCD has the angle measures shown. Can you conclude that it is a rhombus, a rectangle, or a square?.
Parallelogram ABCD is a rectangle, because the diagonal creates congruent angles. A
Parallelogram ABCD is a square, because all four angles have the same measure. B
c. correct
Parallelogram ABCD is a rhombus, because the diagonal bisects two angles. C
There is not enough information. D

4. 4.) Which Venn diagram is NOT correct?B D A C
a. correct

5. 5.) What is the most precise name for quadrilateral ABCD with vertices A(–2, 2), B(0, 4), C(6, 4), and D(4, 2)?
rhombus A
quadrilateral B
c. correct
parallelogram C
rectangle D

6. 6. ) M, P, Q, and R are midpoints of the sides of rectangle WXYZ
6.) M, P, Q, and R are midpoints of the sides of rectangle WXYZ. If mXQP = 40°, what is m PQR? 40 A 80 B
c. correct
100 C
120 D

7. SPR1) In quadrilateral ABCD, it is known that mACD = 2x + 4 and mACB = 5x – 11. For what value of x is ABCD a rhombus? 5

8. SPR2) In quadrilateral ABCD, AE = 3q – 18 and BE = 10 + q
SPR2) In quadrilateral ABCD, AE = 3q – 18 and BE = 10 + q. For what value of q is ABCD a rectangle? 14