Download ď - Sites

Geometry Review Chapter 6
Name: ____________________________
True or False.
Answer true only if the statement is always true.
Answer the following with always, sometimes, or
never true:
1. A square is a rectangle.
2. An isosceles trapezoid has two congruent
diagonals.
3. The median of a trapezoid is parallel to the
bases.
4. The diagonals of a rhombus are perpendicular.
5. In a kite two pairs of opposite angles are
congruent.
6. If the diagonals of a quadrilateral bisect each
other, then it is a trapezoid.
7. A trapezoid is a parallelogram.
8. A diagonal of a parallelogram are congruent.
9. A rectangle is a square.
10. In a quadrilateral, if one diagonal bisects
opposite angles, then it is a kite.
Give the most descriptive name for each of the following:
11.
12.
13.
15. For the parallelogram, if
and
14.
3
find
4
2
16. If ON = 5x – 9, LM = 4x + 8, NM = x – 5, and OL = 4y – 4
find the values of x and y for which LMNO must be a parallelogram.
1
O
N
L
M
17.DEFG is a rectangle. DF = 3x – 1 and EG = x + 7. Find the value of x and the length of each diagonal.
T
U
18. In rhombus TUVW, if TUW = x + 25 and UWT = 2x. Find x and WTU.
O
S
W
2x
19. Given that PQRS is a kite, find the x.
R
P
x+7
3x – 2
Q
V
20. The quadrilateral is a kite. Find x.
3x - 18°
5x - 2°
4x - 8
x - 4°
26
21. The quadrilateral is a trapezoid. Find x.
2x
B
C
22. Isosceles trapezoid ABCD has legs
and
If AB = 5y – 3,
BC = 2y – 4, and CD = 6y – 13, find the value of y.
D
A
23. Find the sum of the measures of the interior angles of a regular 36-gon.
24. A convex hexagon has interior angles with measures xº, (5x – 103)º, (2x + 60)º, (7x – 31)º, (6x – 6)º and
(9x – 100)º. Find the value of x.
Classify each figure by number of sides, convex or concave and regular or irregular.
25.
26.
27.
28.
29.
A
30. Fill in the missing reasons for the given proof.
B
Given:
Prove: ABCD is a parallelogram
Statements
Reasons
D
C