Geometry
Chapter 4 Test
Name:
Date:
Block:
DO NOT WRITE ON THE TEST!! Put answers on answer sheet. Good luck.
Part A—Multiple Choice—Two points each.
1. Classify the below triangle.
10
a. Equilateral
b. Isosceles
c. Scalene
d. Right triangle
10
8
2. Classify the below triangle.
a.
b.
c.
d.
Equilateral
Isosceles
Scalene
Right triangle
3. Classify the below triangle.
a. Acute
b. Obtuse
c. Right
d. Isosceles
115
4. Classify the below triangle.
8
6
a. Acute
b.
c.
d.
e.
7
Obutse
Scalene
Isosceles
Right
5. Classify the below triangle.
7
a. Obtuse
b. Right
7
c. Isosceles
d. Equilateral
e. scalene
7
Part B—Multiple choice. Each question is worth 2 points. In questions 6-10 determine whether it
is possible to prove that the triangles are congruent. If it is possible, tell which congruence
postulate or theorem you could use. If it is not possible, say so. (2 points each) Note: DO
NOT assume an angle is a right angle because it looks like one.
6.
A. SSS B. SAS C. AAS D. HL
E. NP
7.
A.
AAS
B. SSS
C. SAS
D. HL
E. NP
8.
A.
9.
A
SAS B. ASA
C. SSA D. HL
E. NP
C
NOTE: Segment AB is parallel to segment CD.
A. SSS
B. SAS C. AAS D. ASA E. NP
B
D
10.
A. SAS B. SSS C. AAS D. ASA E. NP
Part C—Multiple choice. Identify all triangles in the figure that fit the given description. Some
descriptions have more than one answer. (2 points each)
A. BAC B. ACD C. BAD
B
11. equilateral
12. isosceles
C
13. scalene
14. acute
15. right
__________
16. obtuse
A
D
Part D Short Answer. For 17-22 you will need to determine the value of the variable(s). Put answers
on the answer sheet, show work on a separate piece of paper. (4 points each)
17.
18.
x
113
2x
47
3x
19.
20.
46 0
2x 0
3x 0
x0
x0
21.
22.
4 y0
(5 x  10)0
( x  2)0
(2 x  11)0
y0
1420
(3x  10)o
Find the missing coordinates (2 points per coordinate).
23.
24.
B(__, __)
C (__, __)
A(15, 0)
A(6,8)
B(__, __)
D(6, 10)
Place the figure in the coordinate plane and find the given information. (4 points each)
25. A right isosceles triangle with legs of 6 units; find the length of the hypotenuse.
y
8
6
4
2
–8
–6
–4
–2
O
2
4
6
8
x
–2
–4
–6
–8
26. Place the below figure in the coordinate plane. A square that has a perimeter of 28 cm.
Determine the length of the diagonal to the nearest hundredth.
y
8
6
4
2
–8
–6
–4
–2
O
–2
–4
–6
–8
2
4
6
8
x
Extra Credit - You must show your work to receive any credit. Determine the values of the x and y in
the below diagram. (3 points max)
x0
480
y0
Chapter 4 ORQ
Name ________________
What kind of Triangle am I?
Answer the following question in the space provided. Given the following points; A(3,2), B(-2, -1), and
C(1, -6) determine the following: What kind of triangle does the shape represent (you must support
your answer with the appropriate calculations). For full credit you must do the following:
a. Draw the x, y axis and correctly plot the three points.
b. Use the distance formula
( x2  x1 )2  ( y2  y1 )2 to determine the lengths of the sides.
y2  y1
x2  x1
d. Based of the results from b and c, make a conclusion as to the type of triangle ABC is.
c. Determine the slopes of the three sides m 