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Laabri

Geometry: Unit 1 Analytic Geometry Assessment Fields

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18 Nsɛmmisa
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Complete questions 1-4 using this information.

Red Rock is 4 miles west and 3 miles north of the center of the county at the point R (-4, 3). Silver Stone is 8 miles east and 6 miles north of the center of the county at the point S (8, 6). Use the distance and midpoint formulas to find the distance and midpoint between these locations.

Graph and problem description showing Red Rock and Silver Stone locations on a coordinate plane.

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What is the distance between Red Rock at point R (-4, 3) and Silver Stone at point S (8, 6) rounded to the nearest tenth of a mile?

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Point A is at (2, -4) and Point C is at (7, 6). What are the coordinates of B such that AB is $\frac{1}{4}$ of AC.

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6.

What is the area and perimeter of the rectangle with the points A (-5, 1), B (5, -3), C (7, 2), D (-3, 6) rounded to the nearest tenth?

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7.

What is the area and perimeter of a triangle with the points C $(7, 2)$, D $(-3, 6)$ and E $(7, 6)$ rounded to the nearest tenth?

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8.

What is the exact distance between point A $(2, -3)$ and point B $(8, 9)$?

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9.

The line segment $\overline{ES}$ has one endpoint at E $(-5, -2)$ and a midpoint at M $(1, 1)$. What is the location of the second endpoint S?

Complete questions 10 - 12 using this information.

Line WX passes through points W and X .
Line YZ passes through the points Y and Z .
What is the slope of each of these lines? Are these lines parallel or perpendicular to each other?

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10.

Line WX passes through points W (2, 0) and X (6, -8). Which equation shows how to correctly use the slope formula to find the slope of this line?

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Complete questions 13 - 15 using this information.

Line AB passes through points A (-10, 5) and B (20, 15).

Line CD passes through points C (-8, -7) and D (19, -16).

What is the slope of each of these lines?

Are these lines parallel or perpendicular to each other?

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13.

Line AB passes through points

A (-10, 5) and B (20, 15). What is the slope of this line?

Answers must be simplified correctly as a whole number or fraction to receive credit (ie 1/2 not 4/8).

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14.

Line CD passes through points

C (-8, -7) and D (19, -16). What is the slope of this line?

Answers must be simplified correctly as a whole number or fraction to receive credit (ie 1/2 not 4/8).

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15.

Line AB passing through points A (-10,5) and B (20,15) is

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17.

What is the equation of the line that passes through the point (19, -16) and is PERPENDICULAR to $y = \frac{1}{3}x + \frac{25}{3}$?

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18.

Determine the relationship the equation of each line has with .

Draggable itemarrow_right_altCorresponding Item

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Parallel with

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Intersectsbut NOT at a right angle

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Perpendicular to

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Is the same line (overlaps)

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Which of the following shows how to correctly use distance formula to find the distance between Red Rock at point R (-4, 3) and Silver Stone at point S (8, 6)?

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3.

You may find it helpful to refer back to previous parts of this task.

Which of the following shows how to correctly use midpoint formula to find the coordinates of the point exactly halfway between Red Rock at point R (-4, 3) and Silver Stone at point S (8, 6)?

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4.

You may find it helpful to refer back to previous parts of this task.

What are the coordinates of the point exactly halfway between Red Rock at point R (-4, 3) and Silver Stone at point S (8, 6)?

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11.

Line YZ passes through the points Y (2, -5) and Z (-4, 7). Which expression shows how to correctly use the slope formula to find the slope of this line?

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12.

Line WX passing through points W (2, 0) and X (6, -8) is