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Geometry
Assignment #8
Undefined Terms and Definitions
1 – 4: True or False?
1. A point has no length, width, or thickness.
HJJG
HJG
3. AB and BA name the same line.
2. A line is limited in length.
4. A point indicates place or position.
5. Three non-collinear points determine a
(1) plane
(2) line
(3) segment
(4) midpoint
6. Which of the following statements is true?
(1) Any three points determine a line.
(2) Collinear points are always coplanar.
(3) Skew lines lie in the same plane.
(4) Any two lines determine a plane.
7. What is the coordinate of the midpoint of DE if the coordinate of D is – 4 and the coordinate
of E is 9?
8. P, Q, and R are points on the number line. P is – 10, Q is 6, and R is 8.
a) Does PQ + QR = PR?
b) Is Q the midpoint of PR? If not, what is the coordinate of the midpoint?
9 – 12: State two conclusions that can be drawn from the given data.
9. T is the midpoint of AC .
11. C is the midpoint of BD .
10. MN bisects RS at N.
12. LM bisects ST at P.
R1. Solve for x: 2(x + 3) + 6x = 7x
R2. Solve for x: 3(x + 1) + 2x = x + 31
R3. Factor: 4y 2 + 11y − 3
R4. Simplify: a2 + ( a + 3 )( a − 2 ) + 12
R5. Solve for x: x 2 = 2 ( x + 12 )
R6. If the perimeter of a square is 12x, find its area in terms of x.
R7. Tom plans to make a strawberry shortcake to take to a party. The recipe calls for a 10 inch
diameter round pan. Tom only has an 8 inch square pan, a 9 inch square pan, and a 10
inch square pan. Which pan comes closest in area to the one that the recipe suggests?
R8. If p∨ ~ q is true and q is true, then p is _________.
Island Trees Math Department
1.
2.
3.
4.
5.
6.
7.
8.
True
False
True
True
1
2
3
a) Yes
b) no, – 1
9. explain
10. explain
11. explain
12. explain
R1.
R2.
R3.
R4.
R5.
R6.
R7.
R8.
x=–6
x=7
(y + 3)(4y – 1)
2a2 + a + 6
x = {– 4, 6}
9x 2
9 inch
True
Island Trees Math Department