Geometry Name:
Chapter 4 Test 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.
a. Equilateral
b. Isosceles
c. Scalene
d. Right triangle
2. Classify the below triangle.
a. Equilateral
b. Isosceles
c. Scalene
d. Right triangle
3. Classify the below triangle.
a. Acute
b. Obtuse
c. Right
d. Isosceles
4. Classify the below triangle.
a. Acute
b. Obutse
c. Scalene
d. Isosceles
e. Right
5. Classify the below triangle.
a. Obtuse
b. Right
c. Isosceles
d. Equilateral
e. scalene
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. SAS B. ASA C. SSA D. HL E. NP
9.
NOTE: Segment AB is parallel to segment CD.
A. SSS B. SAS C. AAS D. ASA E. NP
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
11. equilateral
12. isosceles
13. scalene
14. acute
15. right ______
16. obtuse
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.
19. 20.
21. 22.
Find the missing coordinates (2 points per coordinate).
23. 24.
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.
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.
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)
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 to determine the lengths of the sides.
c. Determine the slopes of the three sides
d. Based of the results from b and c, make a conclusion as to the type of triangle ABC is.