Download Chapter 4 Review

Geometry
Name: ______________
Chapter 4 Test Review
Classify the triangle by its sides (equilateral, isosceles, scalene) and by its angles (acute,
right, obtuse, equiangular).
_________________________1.
1)
_________________________2.
2)
_________________________3.
_________________________4.
3)
4)
_________________________5.
_________________________6.
5)
Find the measure of the numbered angles.
7. m1  _______
8. m2  _______
9. m3  _______
10. m4  _______
11. m5  _______
12. m6  _______
6)
Find x and y
13.
14.
15.
x=________
x=________
x=________
y=________
y=________
y=________
Solve for x and find the measure of the indicated angle.
16.
x=________
17.
mBCA  ________
x=________
18.
19.
x=________
x=________
20.
21.
x=________
x=________
mBCD  ________
(2 x  8)
In the diagram, ABC  DEF . Complete the statement
22. BC  _____
23. A  _____
24. x  _____
25. y  _____
26. mB  _____ 27. mC  _____
28. BCA   ________
29. CAB   ________
Determine if the triangles are congruent and give the theorem why. Then, complete the
congruence statement. If the triangles are not congruent, write not congruent.
30.
31.
32.
U
W
T
R
S
Congruent? Yes or No
Congruent? Yes or No
Congruent? Yes or No
Reason __________
Reason __________
Reason __________
WLF   ________
RST   ________
BCD   ________
33.
34.
35.
Congruent? Yes or No
Congruent? Yes or No
Congruent? Yes or No
Reason __________
Reason __________
Reason __________
GHK   ________
GNL   ________
BCD   ________
Draw what is given for each diagram. State the third congruence to prove that the
triangles are congruent using the given postulate or theorem.
36. Given: H is a right angle and J is a right angle
What else do you need to show HL congruence?
_______  _______
37. Given: GH JI
What else do you need to show SAS congruence?
_______  _______
38. Given: GH  JI
What else do you need to show SSS congruence?
_______  _______
39. Given: A  E
What else do you need to show ASA congruence?
_______  _______
40. Given: A  E
What else do you need to show AAS congruence?
_______  _______
Complete the following two-column proofs.
41.
GIVEN:
PROVE:
Given
VW  UW
X  Z
XWV  ZWU
Statements
Reflexive Property
ASA
Reasons
CPCTC
1. X  Z
1.
2.
2. Given
3. W  W
3.
VW  UW
4.
4.
ZYV  XVU
Vertical Angles
XWV  ZWU
AAS
42.
GIVEN: JKL is a right angle
KLM is a right angle
LJ  KM
PROVE: J  M
STATEMENTS
KL  KL
REASONS
Given
1.
Definition of Right Triangle
2.
2. Given
Reflexive Property
3. JKL is a right angle
3.
CPCTC
1.
KLM is a right angle
4. JKL is a right triangle
Vertical Angles
4.
KLM is a right triangle
5.
6.
LJ  KM
J  M
5. HL Postulate
LKJ  MKL
6.
KJL  LMK
43. Find the measure of the indicated angle or length:
MKL  ___________________
ST  ___________________
44. Find the values of x and y.
x  ___________________
x  ___________________
y  ___________________
y  ___________________
45. Write the equation of the new line:
a) Parallel to y  2 x  10 and through point P(-5, -4)
1
b) Perpendicular to y   x  6 and through point Q(4, 5)
3
46. The coordinates for points A and B are, A(-2, 5) and B(8, -6). Find the midpoint.
M  ___________________
47. The coordinates for point A and the midpoint of AB are A(-2, 5) and M(8, -6). Find
point B.
B  ___________________