M.GHS.5: 10th grade math, high school Geometry students will be able to will be able to construct perpendicular bisectors from a line segment AB. Type I. Construction of a perpendicular bisector of line segment AB at midpoint 'M'. by Aloha Math and Puzzles https://padlet.com/alohamathandpuzzles/xaz8vo8mvhh15igy Students will be able to construct a perpendicular bisector given line segment AB by copying and then labeling line segment A'B'. Then construct line segment CD (the perpendicular bisector) via pt 'C' and pt 'D' from arcs. Intersection is then labeled midpoint 'M'. en-us 2025-10-20 23:28:58 UTC 2025-10-21 01:29:18 UTC hello@padlet.com https://padlet.net/icons/8.0/svg/1f4cf.svg The line segment AB. alohamathandpuzzles https://padlet.com/alohamathandpuzzles/xaz8vo8mvhh15igy/wish/3641836434 Step 1: Given line segment AB, construct line segment A'B' by copying its distance measurement with a straight edge and compass.


Question:

Which is easier to construct; a line using a ruler, or a line from a straight edge and a compass?

]]> 2025-10-20 23:54:59 UTC https://padlet.com/alohamathandpuzzles/xaz8vo8mvhh15igy/wish/3641836434 Step 2: Determine the midpoint (part 1 of 2) alohamathandpuzzles https://padlet.com/alohamathandpuzzles/xaz8vo8mvhh15igy/wish/3641847956 This is done by making arcs which are sections of Circle A and Circle B. (NOTE: Only the section used to identify the midpoint is constructed. )

Make the upper arcs above line segment AB; label pt 'C'.

Next, construct the lower arcs from pt A and pt B; label pt 'D'.


[NOTE: If this was a Venn Diagram, this would represent the intersection of the 2 circles.]


QUESTION: In your opinion, explain which is easier, constructing arcs to find the endpoints (C and D), or constructing circles?

]]> 2025-10-21 00:03:40 UTC https://padlet.com/alohamathandpuzzles/xaz8vo8mvhh15igy/wish/3641847956 Step 3: Determine the midpoint (part 2 of 2) alohamathandpuzzles https://padlet.com/alohamathandpuzzles/xaz8vo8mvhh15igy/wish/3641859383 Beginning at 19 seconds, use a straightedge to connect point 'C' and point 'D'.


The intersection of line segment A'B' and line segment CD is the midpoint; label the point 'M'.


QUESTION: Does line segment CD, a vertical line, look like it could be 90 degrees? Explain.

]]> 2025-10-21 00:11:21 UTC https://padlet.com/alohamathandpuzzles/xaz8vo8mvhh15igy/wish/3641859383 Type I. Review of all the steps alohamathandpuzzles https://padlet.com/alohamathandpuzzles/xaz8vo8mvhh15igy/wish/3641868912 Comments:

In Geometry, please note a straightedge is preferred but a ruler is usually allowed. A straightedge has no labels/markings.


QUESTION: What is the degree measure of angle CMB?


QUESTION: Is angle CMB congruent to angle AMD? Explain.


Congratulations! You have just created a perpendicular bisector (CD) of line segment AB at it's midpoint M.

]]> 2025-10-21 00:17:23 UTC https://padlet.com/alohamathandpuzzles/xaz8vo8mvhh15igy/wish/3641868912 Type I: Construction Of A Perpendicular Bisector, from midpoint, 'M' alohamathandpuzzles https://padlet.com/alohamathandpuzzles/xaz8vo8mvhh15igy/wish/3641877682 Remember, line segment AB was given and to demonstrate understanding, this line segment will need to be copied as line segment A'B.

]]> 2025-10-21 00:22:23 UTC https://padlet.com/alohamathandpuzzles/xaz8vo8mvhh15igy/wish/3641877682 TYK - Test Your Knowledge! alohamathandpuzzles https://padlet.com/alohamathandpuzzles/xaz8vo8mvhh15igy/wish/3641995312 Take this opportunity to prepare for your exam with this review. Perhaps use a colored pencil to see if you get the same results.

Question: Is it easier to construct seeing the exisiting arcs and lines, or from scratch?

]]> 2025-10-21 01:20:22 UTC https://padlet.com/alohamathandpuzzles/xaz8vo8mvhh15igy/wish/3641995312