Download Chapter 1: Shapes and Transformations

GEOMETRY CP
7.6 HW
NAME: ____________________
BLK: _____DATE: ___________
1. Joanne claims that (2, 4) is the midpoint of the segment connecting the points (-3, 5) and (7, 3). Is she
correct? Explain how you know.
2. On graph paper, graph quadrilateral ABCD if A(-2, 0); B(4, 0); C(6, 6); D(0, 6).
a. Find the slope of each side of the polygon.
AB = _________ BC = _________ CD = _________ DA = _________
b. Find the length of each side of the polygon.
AB = _________ BC = _________ CD = _________ DA = _________
c. What is the best name for quadrilateral ABCD? Justify your answer.
d. Find the area of the polygon.
3. For each diagram, solve for x. Show all work.
a.
b.
c.
4. Find the area of an equilateral triangle with side lengths of 12 units. Show all work. Leave answers in
square root form.
12
12
12
5. The diagonals of a rhombus are 6 units and 8 units long. What is the area of the rhombus? Draw a diagram
and show all work.
6. A hotel in Las Vegas is famous for its large-scale model of the Eiffel Tower. The model, built to scale, is
128 meters tall and 41 meters wide at its base. If the real tower is 324 meters tall, how wide is the base of
the real Eiffel tower? Hint: use proportions.
7. In the picture, a, b, and c are exterior angles of the triangle at right. Find their measures. Then find
what all three angles add to.
a = _______ b = _______ c = _______
a + b + c = _______
8. Prove that if a pair of opposite sides of a quadrilateral are congruent and parallel, then the quadrilateral must
be a parallelogram. Be sure to mark the picture.
Given: AB//CD and AB = CD
Prove: BC//AD
1. AB//CD
1.
2.
2. alternate interior angles are =
3. AB = CD
3.
4. AC = AC
4.
5.
5. SAS
6.
6. cpctc
7. BC//AD
7.