GEOMETRY CHAPTER 1 TEST
Work every problem to the best of your ability. Show all work in the answer boxes. ONLY work in answer boxes will be graded!
1. M is the midpoint of [pic]. If A is (-3, 2) 2. What is the intersection of two lines?
and M is (1, -4), what is B?
3. What is the intersection of two planes? 4. Which of the following refers to line D F?
A. [pic] B. [pic]
C. [pic] D. [pic]
5. If T is between R and Q, which statement is true?
A. RT = TQ + RQ B. TQ = RT + RQ
C. RT + TQ = RQ D. RQ = TR – TQ
6. Find the measure of if C is between B and E and BC = 17 and CE = 7
7. Find the measure of [pic] if L is between V and N and VL=2x, LN=3x + 1 and VN = 21
Sketch a segment for each problem. Mark it with the given information. Then solve for x and the indicated measure.
8. Given: J is between H and K. 9. Given: Q is between A and B. If BQ = x + 7,
If HJ = 7x + 3, JK = 3x + 7 and HK = 40, AQ = 21 and AB = 8x + 14, then find:
then find each of the following:
x = ________ JK = _______ x = ________ BQ = ________________
HJ = _______ AB = _______
Sketch below Sketch below
Refer to the figure at the right to answer each question.
[pic]
10. Are points H, M, I, and J coplanar? 11. How many planes are shown?
12. Name the intersection of planes 13. Name the intersection of plane ABC and [pic].
ABG and CHG.
14. Which segments are contained in all
three of the planes GFH, CDI, and EDI?
[pic]
[pic]
Find the distance and midpoint between each pair of points. Show your work!
17. (4, -6) and (2, 1) 18. (-4, 10) and (1, -2) 19. (-1, 5) and (-4, 3)
20. Find the Area of a Circle with a Diameter of 8. Leave your answer in terms of Pi.
|(-1,-1) |The intersection of two lines is a single point where they cross. Lines can |
| |only intersect at one unique point. |
|The intersection of two planes is a single line. |B |
|C |24 |
|4 |X=3 |
| |JK=16 |
| |HJ=24 |
|X=2 |YES |
|BQ=9 | |
|AB=29 | |
|7 |LINE BG |
|POINT C |HI |
| |JI |
|X=6 |X=2.5 |
|TW=26 |TX=7.5 |
|SQUARE ROOT OF 53 |13 |
|SQUARE ROOT OF 13 |16 Pi |
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