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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