Download Geo Ch8 Test Review 2015

Geometry Chapter 8 Test Review
Name___________________________
Quadrilaterals
Period _______
A#________
All work must be present in order to receive full credit.
True or False
1. A rectangle has congruent diagonals.
1. __________
2. All squares are rectangles.
2. __________
3. All rhombi are squares.
3. __________
4. All rhombi are quadrilaterals.
4. __________
5. All rectangles are quadrilaterals.
5. __________
6. If the diagonals of a parallelogram bisect one another,
then the parallelogram is a rectangle.
6. __________
7. All parallelograms are rectangles.
7. __________
8. If a quadrilateral has both pairs of opposite sides that are parallel
and congruent, then the quadrilateral is a rectangle.
8. __________
9. The diagonals of an isosceles trapezoid are congruent.
9. __________
Short Answer
10. Find the measure of one interior angle for a regular decagon.
10. _________
11. Find the measure of one exterior angle for a regular pentagon.
11. _________
12. Find x and y so that quadrilateral PRHS is a parallelogram.
12. x =___________
y =___________
13. Determine whether the figure with the given vertices is a parallelogram. Use the method
indicated. Justify your answer in a complete sentence. (Sketch the figure and LABEL
your work.)
A(4,8), B(2, 4), C(5, 1), D(3,3); Distance formula
#14-16. Determine whether the quadrilateral is a parallelogram. Justify your answer in a
complete sentence.
14.
14.
15.
15.
16.
16.
#17-21. Use parallelogram MNPQ to answer the following:
17. MN  __________
M
N
18. NP ___________
19. r  ___________
20. mQ  __________ º
2r - 40
21. mP  __________ º
Q
3r - 30
P
22. For trapezoid JKLM, A and B are midpoints of the legs. Find ML.
22. ____________
23. In rectangle ABCD, AG  2 j  35 and DG  2 j  11. Find BD.
23. ____________
24. In rectangle ABCD, if mADB  9p  81 and mCDB  6 p  24, find mCBD.
24. _____________
25. In rhombus TUVW , if mTUW  58, find mUVT .
25. ______________
26. RSTU is a rectangle. If m SRT  x2  9 and mUTR  2 x  44,
find mSRT . (Sketch the figure)
26._______________
#27-29. Name the missing coordinates in terms of the given variables.
27. Rectangle
28. Rhombus
y
A(?, ?)
29. Parallelogram
y
y
B(a, c)
B(b, c)
C(?, ?)
B(0, 2b)
C(?, ?)
A(2a, 0)
x
x
D(0, -2b)
D(-d, -b)
C(a, -b)
A(0, 0)
D(a, 0) x
30. Determine whether the figure with the given vertices is a parallelogram. Justify your answer
in a complete sentence. (Sketch the figure and LABEL your work.)
A(-11,5), B(-15,5), C(-15,1), D(-11,1)
31. Determine whether the figure with the given vertices is a rectangle, rhombus, and/or square.
List all that apply. Justify your answer in a complete sentence. (Sketch the figure and LABEL
your work.)
A(1,10), B(-4,0), C(7,2), D(12,12)
32. Quadrilateral Properties Checklist. Check all that apply.
Parallelogram
Both pairs of opposite
sides are parallel
Both pairs of opposite
sides are congruent
Exactly one pair of
opposite sides is parallel
All sides are congruent
Exactly one pair of
opposite sides is
congruent
Opposite angles are
congruent
All angles are right angles
Diagonals are
perpendicular
Diagonals bisect the
opposite angles
Diagonals are congruent
Diagonals bisect each
other
Consecutive angles are
supplementary
Rectangle Rhombus
Square
Isosceles
Trapezoid