Download Geometry Retest Test 3 Review

Review for Retest of Test 3
Geometry
On a separate sheet of paper, copy the question. Show all work on those marked.
1. mDEF = 63° and mCEF = 32°. Find the
measure of mDEC. Show work. Classify
the angle.
C
F
E
D
2. Determine the values of x and y in the
diagram. (not drawn to scale)
x
41
57
y
3. Coplanar or noncoplanar?
a
k
4. Find a counterexample to this conjecture. If a
quadrilateral has four congruent angles, it is
a square.
5. The base of a triangle measures 4” and its area
is 18 in2. Determine the height of the triangle.
6. Prove that lines a and b are parallel.
12. Lines AB and CD are parallel. Find mABF
F
A
(2x - 10)°
B
(3x+50)°
C
D
13. Determine the midpoint of the line segment
connecting A(4, -2) and B(-2, 6).
14. A rectangular TV screen is measured by the
length of one of its diagonals. What is the size
of a computer screen that is 16” long and 12”
high?
15. Classify HJL.
H
J
L
16. Determine the midpoint C of the line segment
AB connecting A(3.6, 4.8) and B(2.7, 2).
17. Determine whether the
polygon to the right is convex
or concave. Explain.
18. Determine the perimeter and area of ABC.
a = 10, b = 5, c = 12, and h = 8
a
80°
b
80°
7. Use inductive reasoning to determine the next
term in the series: 11, 13, 17, 19, 23, 29, 31,__.
8. Jimmie wants to carpet his living room floor.
If the floor is a rectangle that is 10 feet by 12
feet, determine the area of the floor in square
feet.
9. Prove that lines m and n are parallel.
m
n
65° 1
2 3
4 115°
10. Calculate the distance between two points,
A(2, -5) and B(-4, 3).
11. Determine whether the following conditional
statement is true. If x – y = 2, then x = 4 and
y = 2. If it is false, give an example that
shows why it is false.
19. Underline the hypothesis and circle the
conclusion of this conjecture. If the product of
two integers is divisible by 15, then one of
these numbers is divisible by 3 and the other
number is divisible by 5. Is this conjecture
true? Explain how you know.
20. Find a counterexample to this conjecture. If m
is a positive integer, then 3m + 5 is prime.