Geometry Ch 5 Exam - PSD401
Name: _______________________________ Period: ______
Geometry Chapter 5 Test – Version B
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____ 1. Danny and Dana start hiking from the same base camp and head in opposite directions. Danny walks 6 miles due west, then changes direction and walks for 5 miles to point C. Dana hikes 6 miles due east, then changes direction and walks for 5 miles to point S. Use the diagram to find which hiker is farther from the base camp.
[pic]
|a. |Danny is farther from the base camp than Dana. |
|b. |Dana is farther from the base camp than Danny. |
|c. |Both hikers are the same distance from the base camp. |
|d. |There is not enough data to answer the question. |
____ 2. Given that [pic] bisects [pic] and [pic], find [pic].
[pic]
|a. |[pic] |c. |[pic] |
|b. |[pic] |d. |[pic] |
____ 3. Vanessa wants to measure the width of a reservoir. She measures a triangle at one side of the reservoir as shown in the diagram. What is the width of the reservoir (BC across the base)?
[pic]
|a. |150 m |c. |75 m |
|b. |300 m |d. |100 m |
____ 4. Find the measures [pic] and [pic].
[pic]
|a. |[pic] |c. | [pic] |
|b. |[pic] |d. |[pic] |
____ 5. Given [pic] with [pic], [pic], and [pic], find the length of midsegment [pic].
[pic]
|a. |XY = 3 |c. |XY = 2.5 |
|b. |XY = 1.5 |d. |XY = 2 |
____ 6. In [pic], [pic]. Find [pic].
[pic]
|a. |[pic] = 3 |c. |[pic] = 3.3 |
|b. |[pic] = 1.1 |d. |[pic] = 2.2 |
7. In [pic], [pic], [pic], and [pic]. Find the range of values for x.
[pic]
8. Compare m[pic] with m[pic].
[pic]
9. Find the value of x.
[pic]
10. Find the missing side length. Tell if the side lengths form a Pythagorean triple. Explain.
[pic]
11. The diagram shows a new kind of triangular bread. Where should the baker place her hand while spinning the dough so that the triangle is balanced (hint: what are the coordinates of the centroid)?
[pic]
12. Find the value of x.
[pic]
13. In [pic], show that midsegment [pic] is parallel to [pic] and that [pic] (follow the steps on the answer sheet).
14. Tell whether a triangle can have sides with lengths 6, 13, and 8.
15. Tell whether a triangle can have sides with lengths 4, 5, and 9.
16. List the angles of ∆JKL in order from smallest to largest if J(10, -4), K(1, 6), L(2, -8)
(hint: you need to find the distance of each segment of the triangle first).
.
17. Write the sides of [pic] in order from shortest to longest.
[pic]
18. The diagram shows the approximate distances from Houston to Dallas and from Austin to Dallas. What is the range of distances, d, from Austin to Houston?
[pic]
M19. Tell if the measures 8, 14, and 12 can be side lengths of a triangle. If so, classify the triangle as acute, right, or obtuse.
Name: _______________________________ Period: ______
Geometry Chapter 5 Test Answer Sheet
VERSION: B TEST NUMBER: ____
For #1 – 6, write the LETTER of your answer choice only.
|1. |4. |
|2. |5. |
|3. |6. |
7. Range of values for x: _______________________________________________
WORK:
8. _______________________________
9. x = _________
WORK:
10. Missing side length: _________
Pythagorean Triple? ____________
EXPLANATION:
11. Coordinates of centroid: ___________
WORK:
12. x = ________
WORK:
13. Follow the steps to show [pic] is parallel to [pic] and that [pic]
a. Give the coordinates of points K, L, A, and B.
K ________ A ________
L ________ B ________
b. Calculate the slope of segments KL and AB.
c. Calculate the length of segments KL and AB. (Hint: use the distance formula.)
d. Using slope and segment length, show that [pic] is parallel to [pic] and that [pic]
14. Circle one: YES or NO
WORK or EXPLANATION:
15. Circle one: YES or NO
WORK or EXPLANATION:
16. Angles from smallest to largest: __________________________________
WORK:
17. ___________________________________________________________________
18. Range: ___________
WORK or EXPLANATION:
19. Sides of a triangle? (circle one) Yes or No
If so, (circle one) ACUTE OBTUSE RIGHT
EXPLANATION:
-----------------------
180 mi
230 mi
7
12
37
................
................
In order to avoid copyright disputes, this page is only a partial summary.
To fulfill the demand for quickly locating and searching documents.
It is intelligent file search solution for home and business.