Warm up Find the distance between the points

Warm up Find the distance between the points, (10, 5) and (40, 45). Round to the nearest hundredths. 50

Review HW

Midpoint Given 2 ordered pairs, it’s the AVG of the x’s and AVG of the y’s.

Midpoint Formula

Find the midpoint. 1. (3, 7) and (-2, 4) (. 5, 5. 5) 2. (5, -2) and (6, 14) (5. 5, 6)

3. Find the midpoint. (2, 3)

4. Find the midpoint. (1. 5, 4)

Given the midpt and one endpt, find the other endpt. 5. Midpt (3, -6) Endpt (7, -3) (-1, -9)

Given the midpt and one endpt, find the other endpt. 6. Midpt (-1, 2) Endpt (3, 0) (-5, 4)

YOU TRY!!! 7. (3, -9) and (14, 16) (8. 5, 3. 5) 8. (4, 1) 9. Midpt (-4, 6) Endpt (2, 1) (-10, 11)

Partition Line Segments (1 Dimension)

How to Find the Partition of a Segment 1. Find the Distance between A and B 2. Find the total number of parts (add the ratio or look at the denominator of the fraction) 3. Divide the distance by the number of parts to determine the interval at which each partition will be drawn 4. Draw a partition after the interval found in Step 3 5. Shade (starting at A) the correct amount of parts (first part of the ratio or the numerator of the fraction) 6. The coordinate of the partition will be wherever you end up

Partition – 1 Dimension 10. A is at 1, and B is at 7. Find the point, T, so that T partitions A to B in a 2: 1 ratio.

Partition – 1 Dimension 11. A is at -6 and B is at 4. Find the point, T, so that T is A to B in a 2: 3 ratio.

YOU TRY!!!! 12. A is at 2 and B is at 7. Find the point, T, so that T is A to B in a 2: 3 ratio. 13. A is at -4 and B is at 10. Find the point, T, so that T is A to B in a 3: 4 ratio.

Homework Midpoint & Partitioning Segments Worksheet