Download Unit 3 Study Guide Name ________________________________________________ 6.1-6.5

Unit 3 Study Guide
Name ________________________________________________
6.1-6.5
Table # _____ Period _____ Date _________________
1. Write a two-column proof.
Theorem: Opposite angles of a parallelogram are congruent.
Given: Parallelogram ABCD
Prove:
and
Statements
Reasons
1. Draw AC.
1.Through any two points there is
exactly one line.
2. Parallelogram ABCD
2. Given
3.
3. Definition of a Parallelogram
4.
4. Alternate Interior Angle Theorem
5.
5.
6.
6.
7.
7.
8.
8.
2. Fill in the statement for the following proof.
Theorem: Opposite sides of a parallelogram are congruent.
Given: Parallelogram ABCD
Prove:
and
Statements
1. Draw AC.
Reasons
2. Parallelogram ABCD
3.
4.
5.
1.Through any two points there is
exactly one line.
2. Given
3. Definition of a Parallelogram
4. Alternate Interior Angle Theorem
5.
6.
6.
7.
7.
3. Find each measure in parallelogram
(a)
(b)
(c)
(d)
(e)
(f)
4.
is a rhombus. Find each measure.
(a)
(b)
(c)
(d)
5. Maya is confident that each figure can be classified as a rectangle, rhombus, or square based on the
information given but cannot identify which figure is which. Help Maya identify each figure as a rectangle,
rhombus, or square and provide evidence for your reasoning.
6. Maya is very thankful you helped her in the previous problem, but now she is having trouble
identifying whether each quadrilateral is a parallelogram. Please identify each figure below as a
parallelogram (if possible) and provide evidence for your reasoning.