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Name
CP Geometry
Date
6.3-6.5 Quiz REVIEW
PD
In 1-3, use the points W(2, -1), X(4, -5), Y(0, -3) and Z(-2, 1):
1.) Plot the points.
2.) Pick one method to show that WXYZ is a parallelogram.
SHOW all of your work and be sure to EXPLAIN how you
know it is a parallelogram.
3.) EXPLAIN a different method to show that WXYZ is a parallelogram. Make sure you tell me how
you know it is a parallelogram.
Decide whether the statement is sometimes, always, or never true. (1 point)
4.) A rhombus is equiangular.
5.) The diagonals of a parallelogram are perpendicular.
6.) The diagonals of a quadrilateral are congruent.
7.) A trapezoid is a parallelogram.
8.) A rhombus is a square.
9.) The consecutive angles of a rectangle are supplementary.
10.)
A trapezoid has a pair of parallel sides.
11.)
A quadrilateral is a hexagon.
12.)
A trapezoid is a quadrilateral.
13.)
The diagonals of a square are perpendicular.
14.)
The diagonals of a rectangle bisect opposite angles.
Find the values of x and y. (2 pts per variable)
15.)
6x - 24
3
16.)
86º
17.)
6x – 40)º
37º
(2x + 21)º
Determine whether the given points represent the vertices of a trapezoid. If so, is it isosceles?
EXPLAIN how you know.
18.)
𝐴(0,0), 𝐵(6,8), 𝐶(8,5), 𝐷(4, −6)
Fill in the missing statements and reasons for each proof .
19.)
̅̅̅̅ , 𝐵𝐶
̅̅̅̅ ≅ ̅̅̅̅
Given: ̅̅̅̅
𝐴𝐷||𝐵𝐶
𝐴𝐹
∠𝐴𝐹𝐷 ≅ ∠𝐴𝐷𝐹
Prove: ABCD is a parallelogram
Statements
1.)
Reasons
,
1.) Given
2.) AFD  ADF
2.)
3.)
3.) Base Angles Thm. Converse
4.) BC  AD
4.)
5.) ABCD is a parallelogram
5.)
BONUS: Refer to problems 1-3 and explain a third method to show that WXYZ is a parallelogram.