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Chapter 5 Study Guide
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Geometry Chapter 5 Study Guide
Date_________
Properties of Parallelograms
If both pairs of opposite sides of a quadrilateral are congruent, then the
quadrilateral is a parallelogram.
If one pair of opposite sides of a quadrilateral are both congruent and parallel,
then the quadrilateral is a parallelogram.
If both pairs of opposite angles of a quadrilateral are congruent, then the
quadrilateral is a parallelogram.
If the diagonals of a quadrilateral bisect each other , then the quadrilateral is a
parallelogram.
For numbers 1-7, Quadrilateral SPQR is a parallelogram.
1) If m
1 = 33, m
2 = 62, then m
5 = _____.
2) If SV = 10, then VQ = _____.
3) If PV = 13, then VR =_____.
4) If PQ = 20, then SR = _____.
5) If QR = 17, then PS = _____.
6) If m
1 = 30 and m
2 = 60, then the m
PQR = _____.
7) If PS = 26 and QR = 2x, then x = _____.
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Chapter 5 Study Guide
Rectangle
A quadrilateral with four right angles is a rectangle. A rectangle is a parallelogram
because both pairs of opposite angles are congruent.
Rhombus
A quadrilateral with four congruent sides is a rhombus. A rhombus is a
parallelogram because both pairs of opposite sides are congruent.
Square
A quadrilateral with four right angles and four congruent sides is a square. A
square is a parallelogram, and a rectangle, and a rhombus.
For numbers 8-12, Quad. WXYZ is a rectangle. Complete.
8) If WY = 19, the ZX = _____.
9) If WY = 19, then WT = _____.
10) If TX = 4.5, then WY = _____.
11) If WY = 3a + 16 and ZX = 5a- 18, then a = _____.
12) If m
TWZ = 70, then m
TZW = _____ and m
WTZ = _____.
For numbers 13- 18, ABCD is a rhombus. Please complete.
13) If AD = 13, then AB = _____.
14) If m
4 = 25, then m
5 = _____.
15) If m
DAB = 130, the m
16) If m
4 = 3x -2 and m
17) If m
1 = 5x + 18 and m
18) If m
2 = 3y +9 and m
ADC = _____.
5 = 2x + 7 then x = _____.
5 = 3x – 8, then x = _____.
4 = 2y – 4, then y = _____.
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Chapter 5 Study Guide
For numbers 19- 23, Quad. JETS is a square. Please complete.
19) If EJ = 12, then ET = ______ and TS = ______.
20) If EN = 8 then NS = ______.
21) If JT = 18, then ES = _____, JN = ______, NS = ______.
22) m
EJS = _____ and m
EJN = _____.
23) All the number angles are all congruent, each angle has a measure of _____.
Trapezoid
A quadrilateral with exactly one pair of parallel sides is a trapezoid.
The parallel sides are called bases.
The other are called legs.
Median of a Trapezoid
The segment that joins the midpoints of the legs of the trapezoid is the median.
24) Find x.
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