Geometry 1: Quadrilateral Review
Name ______________________________________
Period _______________ Date _________________
I. Learning Target: I can prove theorems about
parallelograms.
1. JKLM is a parallelogram. Solve for x and y.
2. Use the figure to answer the questions below.
Part A: Give the most descriptive name for
the figure. Justify your answer.
Part B: Solve for x.
Part C: Find the length of the shorter sides.
Geometry 1 Unit 5 Polygons
6/3/13
PUHSD Geometry Curriculum Team
3. Complete the steps of this proof.
II. G-CO.13 I can construct polygons
incscribed in a circle.
Given: parallelogram ABCD
Prove:
4. Given the following circle, use a compass
and a straightedge to construct a regular
hexagon. Leave all your construction marks.
Label the vertices.
ACE  DEB
Statements
1. Parallelogram ABCD
2. AB CD and AC BD
3. BAD  CDA and
Reasons
1. ?
2. ?
3.?
CAD  BDA
4. AD  AD
5.
ACE  DEB
4.?
5.?
Reason 1
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Reason 2
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Reason 3
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Reason 4
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Reason 5
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5. Given the following circle, use a compass
and a straightedge to inscribe a square. Label
the vertices.
G-GPE.4 I can use coordinates to prove
simple geometric theorems algebraically.
Part B: What are the slopes of each side of the
quadrilateral? Show your work.
6. The coordinates of the vertices of a quadrilateral
are A (2,2) B (0,0) C (5,-5) and D (7,-3)
Part A: How long is each side of the quadrilateral?
Show your work.
Part C: What type of quadrilateral is it? Explain
your reasoning.