1. Proving Points on a Perpendicular Bisector EQ: Are points on a perpendicular bisector equidistant from the enpoints? Assessment: Students will write a summary to prove the question

2. Directions 1) Use a compass to bisect each of the segments below. 2) Pick a point on the perpendicular bisector and mark it (this can be any point you want). 3) Draw a segment to connect each endpoint to the point you picked on the perpendicular bisector (this means that you are drawing two different segments). 4) Use a ruler to measure the length of each segment that you just drew. 5)Label both segments with the measurement.

3. Example shown: Arc Mark Step 1 Demonstrated

4. Example shown: Step 2 Demonstrated Pick a point on the perpendicular bisector and mark it Step 2 Demonstrated Pick a point on the perpendicular bisector and mark it

5. Example shown: Step 3 Demonstrated Draw a segment to connect each endpoint to the point you picked on the perpendicular bisector Step 3 Demonstrated Draw a segment to connect each endpoint to the point you picked on the perpendicular bisector

6. Example shown: Step 4 Demonstrated Use a ruler to measure the length of each segment that you just drew. Step 4 Demonstrated Use a ruler to measure the length of each segment that you just drew.

7. Example shown: Step 5 Demonstrated Use a ruler to measure the length of each segment that you just drew. Step 5 Demonstrated Use a ruler to measure the length of each segment that you just drew. 3.5 in

8. Answer the following questions: 1) What do you notice about the lengths of the segments connecting your point to the endpoints? 2) Fill in the blanks: Points on a perpendicular bisector of a line segment are exactly those equidistant from the segment’s endpoints.

9. Solve for x and y 3x + 10 6x+34 2y 12 If the sides of the triangle are equidistant, then that means they are equal to each other.

10. Examine the Figure If JL = 16, KM = 4x – 1, and KM is a perpendicular bisector of JL determine which of the following values is/are correct. Select three that apply. A x = 3 B JK = 11 C KM = 15 D KL = 17 E perimeter of ΔKLM = 22 F perimeter of ΔJKL = 50

11. Write your Summary All summaries MUST be at least 2-3 complete sentences. They should answer the essential question and summarize the notes

12. Homework Worksheet