proving points on a perpendicular bisector eq: are points on a perpendicular bisector equidistant...
DESCRIPTION
Example shown: Arc Mark Step 1 DemonstratedTRANSCRIPT
![Page 1: Proving Points on a Perpendicular Bisector EQ: Are points on a perpendicular bisector equidistant from the enpoints? Assessment: Students will write a](https://reader036.vdocuments.mx/reader036/viewer/2022062223/5a4d1b177f8b9ab0599920d8/html5/thumbnails/1.jpg)
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
![Page 2: Proving Points on a Perpendicular Bisector EQ: Are points on a perpendicular bisector equidistant from the enpoints? Assessment: Students will write a](https://reader036.vdocuments.mx/reader036/viewer/2022062223/5a4d1b177f8b9ab0599920d8/html5/thumbnails/2.jpg)
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.
![Page 3: Proving Points on a Perpendicular Bisector EQ: Are points on a perpendicular bisector equidistant from the enpoints? Assessment: Students will write a](https://reader036.vdocuments.mx/reader036/viewer/2022062223/5a4d1b177f8b9ab0599920d8/html5/thumbnails/3.jpg)
Example shown:
Arc
Arc
Mark
Step 1 Demonstrated
![Page 4: Proving Points on a Perpendicular Bisector EQ: Are points on a perpendicular bisector equidistant from the enpoints? Assessment: Students will write a](https://reader036.vdocuments.mx/reader036/viewer/2022062223/5a4d1b177f8b9ab0599920d8/html5/thumbnails/4.jpg)
Example shown:
Step 2 Demonstrated
Pick a point on the perpendicular
bisector and mark it
![Page 5: Proving Points on a Perpendicular Bisector EQ: Are points on a perpendicular bisector equidistant from the enpoints? Assessment: Students will write a](https://reader036.vdocuments.mx/reader036/viewer/2022062223/5a4d1b177f8b9ab0599920d8/html5/thumbnails/5.jpg)
Example shown:Step 3
Demonstrated
Draw a segment to connect each
endpoint to the point you picked on the
perpendicular bisector
![Page 6: Proving Points on a Perpendicular Bisector EQ: Are points on a perpendicular bisector equidistant from the enpoints? Assessment: Students will write a](https://reader036.vdocuments.mx/reader036/viewer/2022062223/5a4d1b177f8b9ab0599920d8/html5/thumbnails/6.jpg)
Example shown:
Step 4 Demonstrated
Use a ruler to measure the length of each segment that you just drew.
![Page 7: Proving Points on a Perpendicular Bisector EQ: Are points on a perpendicular bisector equidistant from the enpoints? Assessment: Students will write a](https://reader036.vdocuments.mx/reader036/viewer/2022062223/5a4d1b177f8b9ab0599920d8/html5/thumbnails/7.jpg)
Example shown:
Step 5 Demonstrated
Use a ruler to measure the length of each segment that you just drew.
3.5 in 3.5 in
![Page 8: Proving Points on a Perpendicular Bisector EQ: Are points on a perpendicular bisector equidistant from the enpoints? Assessment: Students will write a](https://reader036.vdocuments.mx/reader036/viewer/2022062223/5a4d1b177f8b9ab0599920d8/html5/thumbnails/8.jpg)
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.
![Page 9: Proving Points on a Perpendicular Bisector EQ: Are points on a perpendicular bisector equidistant from the enpoints? Assessment: Students will write a](https://reader036.vdocuments.mx/reader036/viewer/2022062223/5a4d1b177f8b9ab0599920d8/html5/thumbnails/9.jpg)
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.
![Page 10: Proving Points on a Perpendicular Bisector EQ: Are points on a perpendicular bisector equidistant from the enpoints? Assessment: Students will write a](https://reader036.vdocuments.mx/reader036/viewer/2022062223/5a4d1b177f8b9ab0599920d8/html5/thumbnails/10.jpg)
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
![Page 11: Proving Points on a Perpendicular Bisector EQ: Are points on a perpendicular bisector equidistant from the enpoints? Assessment: Students will write a](https://reader036.vdocuments.mx/reader036/viewer/2022062223/5a4d1b177f8b9ab0599920d8/html5/thumbnails/11.jpg)
Write your Summary
• All summaries MUST be at least 2-3 complete sentences. They should answer the essential question and summarize the notes
![Page 12: Proving Points on a Perpendicular Bisector EQ: Are points on a perpendicular bisector equidistant from the enpoints? Assessment: Students will write a](https://reader036.vdocuments.mx/reader036/viewer/2022062223/5a4d1b177f8b9ab0599920d8/html5/thumbnails/12.jpg)
Homework
• Worksheet