Download 6.1 to 6.4 Review Worksheet

6-1 to 6-4 Review
Geometry
Show all work where necessary.
1A. List the five properties of a quadrilateral that classify
1B. List the five tests to prove a quadrilateral is a parallelogram.
it as a parallelogram.

_________________________________________

_________________________________________

_________________________________________

_________________________________________

_________________________________________

_________________________________________

_________________________________________

_________________________________________

_________________________________________

_________________________________________
2. What are the two additional characteristics that classify a parallelogram as a rectangle?

_________________________________________________________________

_________________________________________________________________
3. If EFGH is a parallelogram, mР F = 3x - 1 and mР H = 2x + 4, calculate the value of x.
3. ________________
4. ABCD is a parallelogram with diagonals AC and BD that intersect at point E.
If EA = 3, BD = 10, calculate BE.
4. ________________
5. Consecutive angles are always supplementary in a(n)
A. Trapezoid B. Quadrilateral C. Isosceles trapezoid
5. ________________
D. parallelogram.
6. Opposite angles are always congruent in a(n)
A. Trapezoid B. Quadrilateral C. Isosceles trapezoid
D. parallelogram.
6. ________________
7. Which method is not an acceptable method to prove a quadrilateral is a parallelogram
A. one pair of sides in congruent and parallel.
B. it has one pair of supplementary consecutive angles.
C. the diagonals bisect each other.
D. the diagonals are congruent.
For questions 8 through 11, use parallelogram ACFG.
8. If mР GFC = 151, calculate the value of mР ACF .
7. ________________
A
C
X
9. If mР CAG = 4 y + 20 and mР ACF = 3 y + 20, calculate mР ACF .
8. ________________
9. ________________
G
F
10. If AG = 2x + 3 y, CF = 19, GX = 2x + y, and XC = 9, calculate x.
10.________________
11. If AX = x2 and XF = 2 x + 8, calculate x.
11. _______________
R
S
For questions 12 through 15, use rectangle RSTU.
2
X
5
4
1
3
12. Which of the following are not congruent in RSTU?
A. Diagonals
B. All sides
C. All angles
D. None of the above
13. If mР1 = 62, calculate mР 2, mР 3, mР 4, mР 5.
13. mР 2 = ________________
mР 3 = ________________
mР 4 = ________________
mР 5 = ________________
T
U
14. If RX = 4x - 3 y, XT = 2x + 4 y, and US = 44, calculate the value of the values of x and y.
14. _______________
15. If RS = 2x + 3 y,UT = 23, RU = 19, and ST = - 2x + 3 y, calculate the values of x and y.
15. _______________
6
4
Use the grid at the right to determine whether the quadrilateral formed by
the points given is a parallelogram. If it is a parallelogram, is it also
a rectangle? Prove your answer with a calculation. Show your work!
2
-5
16. A(3, 2), B(1, 1), C (2, 4), D(2, 5) Parallelogram? Rectangle? Or None?
5
-2
-4
-6
6
4
17. E (1,1), F (1, 2), G(4,0), H (2,3)
2
Parallelogram? Rectangle? Or None?
-5
5
-2
-4
-6