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CP Geometry
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Chapter 6 Review
PD
Use the diagram to the right to answer problems 1-4.
1.) Name two linear pairs.
2.) Name a pair of vertical angles.
3.) If 𝑚∠1 = 35° 𝑎𝑛𝑑 𝑚∠1 + 𝑚∠3 = 90°,
then find the measures of all the other angles.
Write the equation in slope-intercept form that is parallel and perpendicular to the given line.
1
Given Line: 𝑦 = − 2 𝑥 + 5
4.) Parallel Line with y-intercept of −6:
5.) Perpendicular Line with y-intercept of 9:
Find the measure of each angle.
6.) 𝑚∠1 =____________________
𝑚∠2 =____________________
𝑚∠3 =____________________
𝑚∠4 =____________________
𝑚∠5 =____________________
Decide whether the statement is sometimes, always, or never true.
7.) A square is a rhombus.
8.) A rhombus is a square.
9.) A parallelogram is a trapezoid.
10.) A parallelogram is a rectangle.
11.) A rhombus is a parallelogram.
12.) A square is a kite.
13.) A kite is a quadrilateral.
14.) A quadrilateral is a trapezoid.
15.) A rectangle is a square.
16.) A square is a rectangle.
17.) A parallelogram is a quadrilateral.
Find the values of x and y.
18.)
19.)
Each figure is a parallelogram.
20.)
What values of x and y would make each figure a parallelogram?
Use the diagram to find the given measures.
21.)
Refer to the figure to the right.
Given: UVWX is a parallelogram
𝑚∠𝑈𝑉𝑋 = 27˚, 𝑚∠𝑈𝑋𝑉 = 31˚
𝑚∠𝑉𝑈𝑊 = 39°
𝑈𝑉 = 57, 𝑈𝑋 = 43, 𝑌𝑉 = 38.
a.
b. Find 𝑚∠𝑉𝑋𝑊.
c. Find 𝑚∠𝑋𝑉𝑊.
d. Find 𝑚∠𝑈𝑊𝑋.
e. Find 𝑚∠𝑋𝑊𝑉.
f. Find 𝑊𝑉.
g. Find 𝑌𝑋.
h. Find 𝑉𝑋.
22.)
Find the area of the entire figure.
23.)
Find the area of the shaded region.
List EVERY special quadrilateral that ALWAYS meets each of the following conditions. If no special
quadrilateral meets the condition, then simply write “quadrilateral.”
24.)
25.)
26.)
27.)
28.)
29.)
30.)
31.)
32.)
A quadrilateral with four right angles.
A quadrilateral with four congruent sides.
A quadrilateral with opposite sides congruent.
A quadrilateral with opposite sides parallel.
A quadrilateral with congruent diagonals.
A quadrilateral with opposite sides parallel and congruent.
A quadrilateral with one pair of opposite angles congruent.
A quadrilateral with one pair of consecutive sides congruent.
A quadrilateral with diagonals perpendicular and congruent.
33.) What special type of quadrilateral is shown by the markings? Explain how you know.
(Drawing not to scale)
34.)
What special type of quadrilateral is PQRS? JUSTIFY your answer with an explanation.