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Name: ________________
Block: ___ Date: ________
8-2: PARALLELOGRAMS
CLASS WORK #2
DIRECTIONS: Independently complete the following questions. Refer to your CLASS NOTES if you
have any questions. Remember to show your work when necessary.
1 a) A parallelogram is a quadrilateral with: ____________________________________________________
b) If we have parallel lines cut by a transversal what do we know about Consecutive Interior angles?
___________________________________________
PROBLEM SET 1:
IDENTIFY THE PARTS OF EACH PARALLELOGRAM
Complete each statement by filling in the blank and stating the reason in a complete sentence.
2) a)
b)
____. Reason: ___________________________________
_____.
c)
d)
Reason: ___________________________________
____. Reason: ___________________________________
_____.
Reason: ___________________________________
3) a)
____.
Reason: ___________________________________
b)
_____.
Reason: ___________________________________
c)
____.
Reason: ___________________________________
d)
____.
Reason: ___________________________________
e)
f)
______ Reason: ______________________
____.
Reason: ____________________________________
PROBLEM SET 2:
MEASURES OF MISSING SIDES AND ANGLES
Use your algebra skills to solve question to find the side or angle. Be sure to SHOW YOUR WORK.
4) a) x = _____, y = _____
c) x = _____, y = _____
b) x = _____, y = ______
d) x = _____, y = _______
PROBLEM SET 3:
FIND THE MEASURE OF THE DIAGONALS
Use your algebra skills to solve question to find the side or angle. Be sure to SHOW YOUR WORK.
5) a) x = _____, y = _____
b) x = _____, y = _______
Work Hard. Be Good. Think.
PROBLEM SET 4:
TAKING IT TO ANOTHER LEVEL!
THESE ARE EOC QUESTION! – YOU CAN DO THEM!
10) The county planning department designs a new park in the
shape of a parallelogram. They put in two diagonal walkways.
What will be the coordinates of the intersection of the diagonal
walkways?
a) Write the midpoint formula here: ___________________
b) Intersection point: _________
SHOW WORK HERE:
11) ABCD is a parallelogram. If the measure of angle BCD = (6x – 20) and the measure of angle DAB = (2x +
80), what is the value of x?
a) Draw parallelogram ABCD here:
b) Set up and solve equation here:
x = _______
PROBLEM SET 5:
WORD PROBLEMS
Circle words or phrases that can complete the following sentences to make statements that are always TRUE. (There may be more
than one correct answer for some of the statements.)
12) a) Opposite sides of a parallelogram are (congruent / perpendicular / parallel).
b) Consecutive angles of a parallelogram are (complementary / supplementary / congruent).
c) A diagonal of a parallelogram divides the parallelogram into two (acute / right / obtuse / congruent) triangles.
d) Opposite angles of a parallelogram are (complementary / supplementary / congruent).
e) The diagonals of a parallelogram (bisect each other / are perpendicular / are congruent).
f) If a parallelogram has one right angle, then all of its other angles are (acute / right / obtuse) angles.
Work Hard. Be Good. Think.