do now take out a protractor take out your compass put your 2.6 worksheet on your desk ready to...
TRANSCRIPT
![Page 1: DO NOW Take out a protractor Take out your compass Put your 2.6 Worksheet on your desk ready to be stamped. In the picture to the left, solve for](https://reader030.vdocuments.net/reader030/viewer/2022032703/56649d1b5503460f949f121c/html5/thumbnails/1.jpg)
DO NOW
Take out a protractor Take out your
compass Put your 2.6
Worksheet on your desk ready to be stamped.
In the picture to the left, solve for x. Then find the angle measures.
![Page 2: DO NOW Take out a protractor Take out your compass Put your 2.6 Worksheet on your desk ready to be stamped. In the picture to the left, solve for](https://reader030.vdocuments.net/reader030/viewer/2022032703/56649d1b5503460f949f121c/html5/thumbnails/2.jpg)
Announcements
Test next Wednesday over angle relationships and constructions.
Vocab and review (on website) are due Wednesday.
Tutoring Tuesdays/Thursdays Test corrections from Unit 1 are due next
Friday.
![Page 3: DO NOW Take out a protractor Take out your compass Put your 2.6 Worksheet on your desk ready to be stamped. In the picture to the left, solve for](https://reader030.vdocuments.net/reader030/viewer/2022032703/56649d1b5503460f949f121c/html5/thumbnails/3.jpg)
CONSTRUCTIONS
Duplicating Segments and Angles, Constructing Perpendicular Bisectors
![Page 4: DO NOW Take out a protractor Take out your compass Put your 2.6 Worksheet on your desk ready to be stamped. In the picture to the left, solve for](https://reader030.vdocuments.net/reader030/viewer/2022032703/56649d1b5503460f949f121c/html5/thumbnails/4.jpg)
Today’s Objectives
Duplicate a line segment, an angle and a polygon
Construct perpendicular bisectors and midpoints
Make conjectures about perpendicular bisectors
Use Problem Solving skills
![Page 5: DO NOW Take out a protractor Take out your compass Put your 2.6 Worksheet on your desk ready to be stamped. In the picture to the left, solve for](https://reader030.vdocuments.net/reader030/viewer/2022032703/56649d1b5503460f949f121c/html5/thumbnails/5.jpg)
Creating Geometric Figures
Sketch—Freehand, “looks like,” not accurate
Draw—Carefully use a straightedge and use measurements from protractor, fairly accurate.
Construct—Don’t rely on protractor measurements. Use compass and straightedge. Guaranteed to be accurate.
![Page 6: DO NOW Take out a protractor Take out your compass Put your 2.6 Worksheet on your desk ready to be stamped. In the picture to the left, solve for](https://reader030.vdocuments.net/reader030/viewer/2022032703/56649d1b5503460f949f121c/html5/thumbnails/6.jpg)
Duplicating a Segment
Step 1: Draw segment AB. Step 2: Draw a ray starting at C. Step 3: Open your compass to match the
length of AB. Step 4: Put the point of your compass on
point C and drag the pencil to make an arc that intersects the ray.
Step 5: Mark the intersection D. AB ≅ CD
![Page 7: DO NOW Take out a protractor Take out your compass Put your 2.6 Worksheet on your desk ready to be stamped. In the picture to the left, solve for](https://reader030.vdocuments.net/reader030/viewer/2022032703/56649d1b5503460f949f121c/html5/thumbnails/7.jpg)
Duplicating an Angle
Step 1: Draw ∠DEF. Step 2: Draw a ray from point G. Step 3: With your compass, put an arc around E
that intersects the rays ED and EF. Step 4: Without changing the width of your
compass, put a matching arc around G. Step 5: Open your compass to measure the
distance between intersection points in ∠DEF. Step 6: Mark the same distance from the
intersection point in G through the arc. Step 7: Draw a ray from G to the new intersection
point. ∠E ≅ ∠G
![Page 8: DO NOW Take out a protractor Take out your compass Put your 2.6 Worksheet on your desk ready to be stamped. In the picture to the left, solve for](https://reader030.vdocuments.net/reader030/viewer/2022032703/56649d1b5503460f949f121c/html5/thumbnails/8.jpg)
Practice
Draw a segment that is 5cm (with ruler measurements).
Construct a duplicate segment (without ruler measurements, only using a compass and straightedge).
![Page 9: DO NOW Take out a protractor Take out your compass Put your 2.6 Worksheet on your desk ready to be stamped. In the picture to the left, solve for](https://reader030.vdocuments.net/reader030/viewer/2022032703/56649d1b5503460f949f121c/html5/thumbnails/9.jpg)
Practice
Draw an angle that is 70o (using a protractor)
Construct a duplicate angle (not using a protractor).
![Page 10: DO NOW Take out a protractor Take out your compass Put your 2.6 Worksheet on your desk ready to be stamped. In the picture to the left, solve for](https://reader030.vdocuments.net/reader030/viewer/2022032703/56649d1b5503460f949f121c/html5/thumbnails/10.jpg)
Perpendicular Bisectors—Terms
A segment bisector—a line, ray, or segment that passes through the midpoint of a segment. Cuts the line segment in half
Perpendicular lines—intersect at a right angle.
Perpendicular bisector—passes through the midpoint of a segment at a right angle.
Equidistant—the same distance
![Page 11: DO NOW Take out a protractor Take out your compass Put your 2.6 Worksheet on your desk ready to be stamped. In the picture to the left, solve for](https://reader030.vdocuments.net/reader030/viewer/2022032703/56649d1b5503460f949f121c/html5/thumbnails/11.jpg)
Constructing Perpendicular Bisectors Step 1: Draw a line segment. Set your
compass to more than half the distance between the two endpoints.
Step 2: Using one endpoint as center, swing an arc on both sides of the segment.
Step 3: Using the same compass setting, swing an arc from the other endpoint to intersect each arc.
Step 4: Mark your two intersection points and connect them.
![Page 12: DO NOW Take out a protractor Take out your compass Put your 2.6 Worksheet on your desk ready to be stamped. In the picture to the left, solve for](https://reader030.vdocuments.net/reader030/viewer/2022032703/56649d1b5503460f949f121c/html5/thumbnails/12.jpg)
Perpendicular Bisector Conjecture If a point is on the perpendicular bisector
of a segment, then it is _________ from the endpoints.
equidistant
![Page 13: DO NOW Take out a protractor Take out your compass Put your 2.6 Worksheet on your desk ready to be stamped. In the picture to the left, solve for](https://reader030.vdocuments.net/reader030/viewer/2022032703/56649d1b5503460f949f121c/html5/thumbnails/13.jpg)
Converse of Perpendicular Bisector Conjecture
If a point is equidistant from the endpoints of a segment, then it is on the _______________of the segment.
perpendicular bisector Also true!
![Page 14: DO NOW Take out a protractor Take out your compass Put your 2.6 Worksheet on your desk ready to be stamped. In the picture to the left, solve for](https://reader030.vdocuments.net/reader030/viewer/2022032703/56649d1b5503460f949f121c/html5/thumbnails/14.jpg)
Practice
Draw and label AB. Construct the perpendicular bisector of AB.
![Page 15: DO NOW Take out a protractor Take out your compass Put your 2.6 Worksheet on your desk ready to be stamped. In the picture to the left, solve for](https://reader030.vdocuments.net/reader030/viewer/2022032703/56649d1b5503460f949f121c/html5/thumbnails/15.jpg)
Practice
Draw and label QD. Construct perpendicular bisectors to divide QD into four congruent segments.
![Page 16: DO NOW Take out a protractor Take out your compass Put your 2.6 Worksheet on your desk ready to be stamped. In the picture to the left, solve for](https://reader030.vdocuments.net/reader030/viewer/2022032703/56649d1b5503460f949f121c/html5/thumbnails/16.jpg)
Stations!
Direct: Practice Constructions Collaborative: Without writing on the
worksheets, complete 3.1 and 3.2 worksheets on a separate sheet of paper as a group. (Each person turn in your own paper.)
Independent: Take your test and your notebook and begin test corrections. If you are satisfied with your test score, begin vocabulary that is due on Wednesday.
![Page 17: DO NOW Take out a protractor Take out your compass Put your 2.6 Worksheet on your desk ready to be stamped. In the picture to the left, solve for](https://reader030.vdocuments.net/reader030/viewer/2022032703/56649d1b5503460f949f121c/html5/thumbnails/17.jpg)
Practice
![Page 18: DO NOW Take out a protractor Take out your compass Put your 2.6 Worksheet on your desk ready to be stamped. In the picture to the left, solve for](https://reader030.vdocuments.net/reader030/viewer/2022032703/56649d1b5503460f949f121c/html5/thumbnails/18.jpg)
Today’s Objectives
Duplicate a line segment, an angle and a polygon
Construct perpendicular bisectors and midpoints
Make conjectures about perpendicular bisectors
Use Problem Solving skills
![Page 19: DO NOW Take out a protractor Take out your compass Put your 2.6 Worksheet on your desk ready to be stamped. In the picture to the left, solve for](https://reader030.vdocuments.net/reader030/viewer/2022032703/56649d1b5503460f949f121c/html5/thumbnails/19.jpg)
Exit Slip
For all exercises, do not erase your construction marks.1. Draw an obtuse angle. Label it ∠LGE, then
duplicate it.2. Draw a line segment. Label it RS, then
duplicate it.3. Draw a line segment. Label it PQ, then
construct its perpendicular bisector.4. Draw two acute angles. Construct a third
angle with measure equal to the sum of the measures of the first two angles. You may not use a protractor.
![Page 20: DO NOW Take out a protractor Take out your compass Put your 2.6 Worksheet on your desk ready to be stamped. In the picture to the left, solve for](https://reader030.vdocuments.net/reader030/viewer/2022032703/56649d1b5503460f949f121c/html5/thumbnails/20.jpg)
Exit Slip Honors
For all exercises, do not erase your construction marks.1. Draw an obtuse angle. Label it ∠LGE, then
duplicate it.2. Draw a line segment. Label it PQ, then construct
its perpendicular bisector.3. Draw two acute angles. Construct a third angle
with measure equal to the sum of the measures of the first two angles. You may not use a protractor.
4. Draw a quadrilateral QUAD. Duplicate it, matching all the angles AND segments. Label the construction COPY so that QUAD ≅ COPY.