Geometry
Quadrilaterals Unit Review
Name ______________________________________
Period _______________ Date ________________
G-CO.11 Learning Target: I can prove theorems
about parallelograms.
2. Use the figure to answer the questions below.
1. JKLM is a parallelogram. Solve for x and y.
(Show all work!) Describe what properties you
used.
Part A: Give the most specific name for the
quadrilateral above. What property identifies it as
this shape?
Shape? _________________________________
Explanation _____________________________
_______________________________________
_______________________________________
Part B: Solve for x.
y = ________
Describe the property used to solve for y:
__________________________________________
__________________________________________
x = _______
x = _______
Part C: Find the length of the quadrilateral’s shorter
sides.
Describe the property used to solve for x:
__________________________________________
__________________________________________
Geometry 1 Quadrilaterals Unit Review
length = _______
5/28/14
PUHSD Geometry Curriculum Team
3. Complete the steps of this proof using the below
diagram.
Given: Parallelogram ABCD
4. Use a compass and straightedge to inscribe
regular hexagon in the circle below. Label all
vertices of the hexagon. Leave all your
construction marks.
Prove:  C  B
Statements
1.Parallelogram ABCD
2. AB CD
3. CAD  BDA
and CDA  BAD
4. AD  AD
5. CAD  BDA
6.  C  B
G-CO.13 Construct an equilateral triangle, a
square, and a regular hexagon inscribed in a
circle.
Reasons
1. ?
2. ?
3.?
4.?
5.?
6. ?
Reason 1
__________________________________________
5. Use a compass and straightedge to inscribe a
square into the circle below. Label all vertices
of the square. Leave all construction marks.
Reason 2
__________________________________________
Reason 3
__________________________________________
Reason 4
__________________________________________
Reason5
__________________________________________
Reason 6
__________________________________________
Geometry 1 Quadrilaterals Unit Review
5/28/14
PUHSD Geometry Curriculum Team
Part B: What are the slopes of each side of the
quadrilateral? Show your work.
G-GPE.4 Use coordinates to prove simple
geometric theorems algebraically.
6. The coordinates of the vertices of a quadrilateral
are A (1,5), B (2,2), C (-2,0), and D (-3,3).
AB = _______
y
10
BC = _______
CD = _______
–10
10
x
AD = _______
–10
Part A: How long is each side of the quadrilateral?
Show your work.
Part C: What type of quadrilateral is it? Explain
your reasoning.
Type of quadrilateral _____________________
AB = _______
Explanation:
__________________________________________
__________________________________________
BC = _______
__________________________________________
__________________________________________
CD = _______
AD = _______
Geometry 1 Quadrilaterals Unit Review
5/28/14
PUHSD Geometry Curriculum Team