Unit 1 Using Midpoint and Distance Formulas Midpoint

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Unit 1 Using Midpoint and Distance Formulas

Unit 1 Using Midpoint and Distance Formulas

Midpoint: Point in the middle of a segment A M M is the midpoint

Midpoint: Point in the middle of a segment A M M is the midpoint of B

Segment bisector: Point, line, or segment that cuts a segment in half A M

Segment bisector: Point, line, or segment that cuts a segment in half A M pt. M bisects C B A M D bisects B

Perpendicular: Line that intersects at a right angle C A B D

Perpendicular: Line that intersects at a right angle C A B D

Perpendicular bisector: Perpendicular Line or segment that bisects a segment C A M D

Perpendicular bisector: Perpendicular Line or segment that bisects a segment C A M D B

Distance: Length between two points Measured in units AB Parallel lines Lines that never

Distance: Length between two points Measured in units AB Parallel lines Lines that never intersect.

1. Line bisects the segment. Find the indicated length. 17 cm DF = 34

1. Line bisects the segment. Find the indicated length. 17 cm DF = 34 cm

1. Line bisects the segment. Find the indicated length. 1 16 GJ = 2

1. Line bisects the segment. Find the indicated length. 1 16 GJ = 2 in

2. M is the midpoint of the segment. Find the indicated length. Find MF.

2. M is the midpoint of the segment. Find the indicated length. Find MF. 7 x – 6 = 5 x – 6 = -2 x 3=x MF = 5(3) = 15 u

2. M is the midpoint of the segment. Find the indicated length. Find LN.

2. M is the midpoint of the segment. Find the indicated length. Find LN. 11 x – 21 = 8 x + 15 3 x – 21 = 15 3 x = 36 x = 12 LN = 11(12)-21 + 8(12)+15 = 132 – 21 + 96 +15 = 222 u

3. Find the midpoint and distance of AB, where A(2, 5) and B(2, -3).

3. Find the midpoint and distance of AB, where A(2, 5) and B(2, -3). A M(2, 1) M B

3. Find the midpoint and distance of AB, where A(2, 5) and B(2, -3).

3. Find the midpoint and distance of AB, where A(2, 5) and B(2, -3). A B AB = 8 u

4. Find the midpoint and distance of AB, where A(-3, 4) and B(7, 4).

4. Find the midpoint and distance of AB, where A(-3, 4) and B(7, 4). A M B M(2, 4)

4. Find the midpoint and distance of AB, where A(-3, 4) and B(7, 4).

4. Find the midpoint and distance of AB, where A(-3, 4) and B(7, 4). AB = 10 u A B

5. Find the midpoint and distance of AB, where A(5, 8) and B(1, 2).

5. Find the midpoint and distance of AB, where A(5, 8) and B(1, 2). A M B M(3, 5)

5. Find the midpoint and distance of AB, where A(5, 8) and B(1, 2).

5. Find the midpoint and distance of AB, where A(5, 8) and B(1, 2). A c 6 42 + 62 = c 2 16 + 36 = c 2 52 = c 2 B 4 =c AB = u

Midpoint Formula: Remember! Your answer should be an ordered pair!

Midpoint Formula: Remember! Your answer should be an ordered pair!

Distance Formula: Don’t forget your units!

Distance Formula: Don’t forget your units!

6. Find the midpoint and distance of AB, where A(-6, 2)and B(-2, -3). Midpt

6. Find the midpoint and distance of AB, where A(-6, 2)and B(-2, -3). Midpt Distance (-2 – (-6))2+ (-3 – 2)2 (4)2 + (-5)2 16 + 25 u

7. Find the midpoint and distance of AB, where A(-1, 2)and B(3, 4). Midpt

7. Find the midpoint and distance of AB, where A(-1, 2)and B(3, 4). Midpt Distance (3 – (-1))2 + (4 – 2)2 (4)2 + (2)2 16 + 4 u

The endpoints of two segments are given. Find each segment length. Tell whether the

The endpoints of two segments are given. Find each segment length. Tell whether the segments are congruent. Q P S R

The endpoints of two segments are given. Find each segment length. Tell whether the

The endpoints of two segments are given. Find each segment length. Tell whether the segments are congruent. (-1 – 4)2 (-5)2 + + (6 – 3)2 (-2 – 2)2 + (0 – (-3))2 (-4)2 + (3)2 16 + 9 25 + 9 Not

HW Problem LT Page # Assignment 1. 3 19 -20 2, 5, 13 -19

HW Problem LT Page # Assignment 1. 3 19 -20 2, 5, 13 -19 odd, 24, 33, 43 Due # 15 x + 15 = 4 x – 45 SU = 2(20+15) 15 = 3 x – 45 SU = 2(35) 60 = 3 x SU = 70 u 20 = x