Name: ___________________________ Block: ____
Ch 8: Quadrilaterals
PRACTICE PROBLEMS
Prerequisite Skills: 1.Identifying angle pairs 2. Using the Triangle Sum Theorem
3.Using parallel lines
Notes
Assignment
1.6 and 8.1
8.2 and 8.3
8.1-8.3 Review
Score
Learning Target(s)
What am I confident about?
Where do I need to spend more time?
Am I weak on a prerequisite skill?
What am I going to do if I am weak?
11
22
26
Tessellations
11
8.4 and 8.5
38
Ch 8 Review
20
Learning Targets:
 Classify polygons
 Find angle measures in polygons
 Use properties of tessellations
 Find angle and side measures in
parallelograms
 Use properties to identify parallelograms
 Use properties of rhombuses, rectangles, &
squares
 Use properties of trapezoids and kites
Syllabus: Ch 8 Quadrilaterals
Block
11
12
13
14
15
16
17
Date
In Class
Discover the Angle Formulas Activity
Notes 1.6 Classify Polygons and 8.1 Find
Angle Measures in Polygons
Notes 8.2 Properties of Parallelograms
and 8.3 Proving Parallelograms
Review 8.1-8.3
Tesselations
Quiz 8.1-8.3
Transformations
Notes 8.4 Properties of Rhombuses,
Rectangles, and Squares, Notes 8.5 Use
Properties of Trapezoids
Review Ch 8
Ch 8 Test
At Home
1.6 and 8.1 Practice Problems
G.2 SOL Review
8.2 and 8.3 Practice
Problems
G.5 SOL Review
Review 8.1-8.3
Transformations Practice
Problems
8.4 and 8.5 Practice
Problems
SOL G.6
Review Ch 8
Review G.7
***Syllabus subject to change due to weather, pep rallies, illness, etc
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1.6 and 8.1 Angles of a Polygon Practice Problems
11
3. Name the polygon that has the following condition.
a) Interior angle = 108°
b) Exterior angle = 40°
c) Interior angle = 120°
d) Exterior angle = 30°
4. The home plate in baseball which is a pentagon that has three right angles. The other two angles are equal.
Find the measure of each of the missing angles.
5. In the drawing, a regular polygon is partially covered by a trapezoid. How many sides does the
covered polygon have?
6. One piece of the birdhouse that Natalie is building is shaped like a regular pentagon, as shown in
the picture. If side AE is extended to point F, what is the measure of the exterior angle DEF?
Find the value of x.
8.
7.
Find the measures of an interior angle and an exterior angle of the indicated polygon.
9.
Regular triangle
10.
Regular 16-gon
11.
Regular 45-gon
8.2 Properties of Parallelograms and 8.3 Proving Parallelograms Practice Problems
Find the measure of the indicated angle in the parallelogram.
1.) Find mB
2.) Find mM
22
Find the value of each variable in the parallelogram.
3.)
4.)
5.) Find the value of each variable in the parallelogram.
6.) In parallelogram WXYZ, mW is 50 degrees more than mX. Sketch parallelogram WXYZ. Find the
measure of each interior angle. Then label each angle with its measure.
Find the indicated measure in parallelogram ABCD.
7.) mAEB
8.) mBAE
9.) mAED
10.) mECB
11.) mBAD
12.) mDCE
13.) mADC
14.) mDCB
15.) Use the diagram of parallelogram MNOP at the right to copy and complete the
statement.
a) MN@ ______
b) MN ______
c) ON@ ______
d) ÐMPO @ ______
e) PQ @ ______
f) QM@ ______
g) ÐMQN @ ______
h) ÐNPO @ ______
What theorem can you use to show that the quadrilateral is a parallelogram?
16.)
17.)
18.)
19.)
For what value of x is the quadrilateral a parallelogram?
20.)
21.)
22.) The vertices of quadrilateral ABCD are given. Draw ABCD in a coordinate plane and show that
it is a parallelogram.
Review 8.1-8.3
Find the sum of the measures of the interior angles of the convex polygon.
1. nonagon
26
2. 18gon
Find the value of x.
3.
4.
x
5.
x
77
98
61
93
x
132 109
6. Name the polygon that has the following condition.
a) Interior angle = 162°
b) Exterior angle = 72°
c) Interior angle = 120°
d) Exterior angle = 45°
Find the sum of the measure of the exterior angles of the convex polygon.
7. nonagon
8. 15gon
Find the value of x.
9.
(9x-4)
(8x+2)
10x+3
10.
9x-3
8x-12
(13x+30) (19x-11)
12x-9
4x+2
Complete each statement. Quadrilateral RSTW is a parallelogram.
11.
// _____
R
S
12. XT  _____
X
13. WTS   _____
14. ΔRWT  Δ _____
W
T
True or False.
__________ 15. Every parallelogram is a quadrilateral.
__________ 16. There exists a parallelogram FISH such that mH = 65° and mS = 115°.
__________ 17.
is a diagonal of parallelogram QUAD.
__________ 18. The consecutive angles of a parallelogram are congruent.
In # 19 – 26, quadrilateral CDEF is a parallelogram. Answer the following questions.
__________ 19. CE = 18, CX = ?
__________ 20. FX = 12, FD = ?
C
D
4
3
X
__________ 21. mCDE = 72°, mEFC = ?
__________ 22. m2 = 74°, m3 = ?
1
F
__________ 23. mCFE = 14x – 11, mEDC = 12x +3, x = ?
__________ 24. m3 = 2x + 6, m4 = 3x, mFED = 106°, x = ?
__________ 25. FX = 5y – 4, FD = 32, y = ?
__________ 26. CE = 6y – 2, XE = 14, y = ?
2
E
Tessellations
11. Explain how you can tell whether a regular polygon can tessellate a plane.
11
8.4 Properties of Rhombuses, Rectangles and Squares
8.5 Trapezoids Practice Problems
38
Classify the parallelogram. Explain your reasoning.
1.)
2.)
3.)
4.)
5.)
6.)
Name each quadrilateral – parallelogram, rectangle, rhombus, and square – for which the
statement is true.
7.) It is equilateral.
8.) The diagonals are congruent.
9.) It can contain obtuse angles.
10.) It contains no acute angles.
Decide whether the statement is true or false. Explain why.
11.) If a quadrilateral is a rectangle, then it is a parallelogram.
12.) If a quadrilateral is a parallelogram, then it is a rhombus.
13.) If a quadrilateral is a square, then it is a rhombus.
14.) If a quadrilateral is a rectangle, then it is a rhombus.
15.) If a rhombus is a square, then it is a rectangle.
10
Classify the special quadrilateral. Then find the values of x and y.
16.)
17.)
The diagonals of rhombus PQRS intersect at T. Given that mRPS = 30° and RT = 6, find the
indicated measure.
18.) mQPR
19.) mQTP
20.) RP
21.) QT
The diagonals of rectangle WXYZ intersect at P. Given that mYXZ = 50° and XZ = 12, find the
indicated measure.
22.) mWXZ
23.) mWPX
24.) PY
25.) WX
The diagonals of square DEFG intersect at H. Given that EH = 5, find the indicated measure.
26.) mGHF
27.) mDGH
28.) HF
29.) DE
11
Tell whether the statement is always, sometimes, or never true.
30.) A trapezoid is a parallelogram.
31.) The bases of a trapezoid are parallel.
32.) The base angles of an isosceles trapezoid are congruent.
33.) The legs of a trapezoid are congruent.
Points J, K, L, and M are vertices of a quadrilateral. Determine whether JKLM is a
trapezoid.
34.) J(-1, 1), K(0, 3), L(3, 3), M(4, -1)
Find mF, mG, and mH.
35.)
Find the length of the midsegment of the
trapezoid.
36.)
Find the value of x.
37.)
38.)
12
Ch 8 Test Review
**Make sure you know the different properties of each type of quadrilateral**
1.) The
2.) A(n)
19
of a trapezoid is parallel to the bases.
of a polygon is a segment whose endpoints are nonconsecutive vertices.
3.) Describe the different ways you can show that a trapezoid is an isosceles trapezoid.
4.) The sum of the measures of the interior angles of a convex regular polygon is 1080°. Classify the polygon
by the number of sides. What is the measure of each interior angle?
5.) The sum of the measures of the interior angles of a convex regular polygon is 3960°. Classify the polygon
by the number of sides. What is the measure of each interior angle?
Find the value of x.
6.)
7.)
8.)
9.) In a regular nonagon, the exterior angles are all congruent. What is the measure of one of the exterior
angles? Explain.
10.) Quadrilateral WXYZ is a parallelogram. Find the values of x and y.
13
Find the value of each variable in the parallelogram.
11.)
12.)
13.) In parallelogram PQRS, PQ = 5 centimeters, QR = 10 centimeters, and mPQR = 36°. Sketch PQRS.
Find and label all of its side lengths and interior angle measures.
14.) The perimeter of parallelogram EFGH is 16 inches. If EF is 5 inches, find the lengths of all the other
sides of EFGH. Explain your reasoning.
For what value of x is the quadrilateral a parallelogram?
15.)
16.)
Classify the special quadrilateral. Then find the values of x and y.
17.)
18.)
19.) Quadrilateral DEFG is a trapezoid. Find mG and mE.
14