Review Unit 6 Test 1.

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Presentation transcript:

Review Unit 6 Test 1

Distance Find the distance between the two points. 1. (1, 7) and (3, -9) 2. (-1, 6) and (-5, -1) 3. (0, 4) and (10, 8)

Distance Answers Find the distance between the two points. 1. (1, 7) and (3, -9) 16.12 2. (-1, 6) and (-5, -1) 8.06 3. (0, 4) and (10, 8) 10.77

Midpoint Find the midpoint of the line segment with the following endpoints. 1. (1, 7) and (3, -9) 2. (-1, 6) and (-5, -1) 3. (0, 4) and (10, 8)

Midpoint Answers Find the midpoint of the line segment with the following endpoints. 1. (1, 7) and (3, -9) (2, -1) 2. (-1, 6) and (-5, -1) (-3, 2.5) 3. (0, 4) and (10, 8) (5, 6)

Parallel/Perpendicular Write the equation of the line parallel to y = 3x – 4 that passes through the point (1, 5). Write the equation of the line perpendicular to 3x – 7y = 20 that passes through the point (-2, 4).

Parallel/Perpendicular Answers Write the equation of the line parallel to y = 3x – 4 that passes through the point (1, 5). y – 5 = 3(x – 1) Write the equation of the line perpendicular to 3x – 7y = 20 that passes through the point (-2, 4). y – 4 = -7/3(x + 2)

Parallel/Perpendicular Write the equation of the line parallel to y = -2x – 1 that has a y-intercept of 4. Write the equation of the line perpendicular to y = 3x + 2 that has a y-intercept of -3.

Parallel/Perpendicular Answers Write the equation of the line parallel to y = -2x – 1 that has a y-intercept of 4. y = -2x + 4 Write the equation of the line perpendicular to y = 3x + 2 that has a y-intercept of -3. y = -1/3x – 3

Parallel/Perpendicular Write any two lines that are parallel to each other.

Parallel/Perpendicular Find the slope of a line perpendicular to y = 3x + 4. Find the slope of a line parallel to -2x + 4y = 24.

Parallel/Perpendicular Answers Find the slope of a line perpendicular to y = 3x + 4. m = -1/3 Find the slope of a line parallel to -2x + 4y = 24. m = 1/2

Line Segments Line segment DF has endpoints D (-1, 6) and F (3, -2). 1. Find the midpoint of DF. 2. Find the length of DF. 3. Is DF congruent to segment AC with endpoints A (-4, -1) and C (2, 4)?

Line Segments Answers Line segment DF has endpoints D (-1, 6) and F (3, -2). 1. Find the midpoint of DF. (1, 2) 2. Find the length of DF. 8.94 3. Is DF congruent to segment AC with endpoints A (-4, -1) and C (2, 4)? No, AC has length 7.8

Midpoints The point B is the midpoint of segment AC. Point A has coordinates (2, 4). If point B has coordinates (-1, 6), what are the coordinates of the other endpoint C?