Download Chapter 1: Shapes and Transformations

GEOMETRY CP
9.4 & 9.5 HW
NAME: ____________________
BLK: _____DATE: ___________
1. Examine the diagram of ABCD at right.
a. If opposite sides of the quadrilateral are parallel and all sides are
congruent, what type of quadrilateral is ABCD?
b. List two properties the diagonals have in ABCD.
c. Find the area of ABCD if BC = 8 and mABC = 60.
2. For a rectangular prism with base dimensions 3 cm and 5 cm and a height of 8 cm:
a. Sketch the prism on the paper at right.
b. Find the volume of the prism. Show all work.
c. Find the surface area of the prism. Show all work.
3. Use the relationship given in the diagram to write and solve an equation
for x. Show all work.
4. For each pair of triangles below, determine if the triangles are similar or congruent. If they are, state the
property to support your answer.
5. Marnia's backyard has the shape of a trapezoid, as shown. How much area does her dog Fido have to roam?
Show all work.
6. Which has a greater measure? Support your answer with work.
 an exterior angle of an equilateral triangle
 an interior angle of a regular decagon
6. A step in Allie’s geometric construction is shown below. This step is
part of which geometric construction?
P
a. Angle bisector of PQR
b. Perpendicular bisector of QR
c. Line parallel to QR
d. Equilateral triangle PQR
Q
R
7. The first step in the construction of the perpendicular bisector of a segment is shown below.
Put the tip of the compass on point A. Open the compass
roughly ¾ of the way from point A to point B. Draw an arc.
A
B
What would be the next step for constructing the perpendicular
bisector of AB?
a. Draw CD
b. From point A, draw a second arc
c. From the middle of AB, draw another arc
d. From point B, draw an arc with the same radius so that it intersects the
first arc
8. Jillian is trying to construct a square.
She has started by constructing two
perpendicular lines, as shown. If she
wants each side of the square to have
length k, as shown, complete her
construction using a compass. Be sure
to show all markings.