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Geometry
Chapter 6 Review
name____________________________
Quadrilaterals
_____ Target 1: I can define and classify special types of quadrilaterals.
Give the most precise name for each quadrilateral and justify your answer.
C) 1.
2.
B) 1.
2.
A) 1.
2.
_____ Target 2: I can use relationships among sides of parallelograms.
C) Find QV 1.
2.
B) B. LMNO is a parallelogram. If ON = 2x + 20 and LM = 3x + 15 find the value of x and then
O
find ON and LM.
L
A) ABCD is a parallelogram. If AB = y + 10, BC =4x + 2 , CD = x, and DA = y + 48, find the values of x and y,
then find the measures of all four sides.
N
M
_____ Target 3: I can use relationships among angles of parallelograms.
C) For the parallelogram, if
to scale.
and
find m2. The diagram is not
3
4
2
1
B) For the parallelogram, if m4 = 85o, find the value of the other three angles. The
diagram is not to scale.
3
4
2
A) Find each variable and all angles. 1.
1
2.
_____ Target 4: I can use relationships involving diagonals of parallelograms.
D
E
C) For the parallelogram, DH = 8 in. , and GE = 13 in. Find DF and GH.
H
G
F
B) For the parallelogram, DF = y, GE = 2x + 10, GH = x + y, HE = 13. Find x, y and DH.
D
E
H
G
A) For the parallelogram, find the values of x and y if QS = 40, QV = 2x + 3y, and VS = x + 5y.
Find x, y and QV.
F
____ Target 5: I can determine whether a quadrilateral is a parallelogram.
C) Is quadrilateral ABCD a parallelogram if AC bisects BD? Explain
B) Is quadrilateral ABCD a parallelogram if BCA  DAC and DCA   BAC?
Explain
A) Write a proof showing quadrilateral ABCD is a parallelogram if BCA   DAC and
BC  AD.
_____ Target 6: I can use properties of diagonals of rhombuses.
C)
In the rhombus, m4 = 35. Find the m5.
B) In the rhombus, m1 = 10x, 4 = 4x find the value of x and  8. The diagram is not to
scale.
A)
In the rhombus, m6 + m7 = 65, find the m2.
_____ Target 7: I can use properties of diagonals of rectangles.
C) Find QV in the given rectangle.
B) DEFG is a rectangle. DF = 3y + 26 and EG = y + 42. Find the value of y and the length
of each diagonal.
_____ Target 8: I can verify and use properties of kites.
C) In the kite, find m1 and m2.
B)
A)
Quadrilateral ABCD is a kite. 4 = 58 o , What is the value of 3?
In the kite ABCD , find the value
of x if AC = 4x-16 and mBC = 2x.
_____ Target 9: I can verify and use properties of trapezoids.
B) Find m1 and m2
______ Target 10. I can name coordinates of special figures on a coordinate
plane by using their properties.
A) Give the most precise name for quadrilateral ABCD.
A (3, 0)
B ( 0, 4)
C (-8, -2)
D (-5, -6)
y
x