Prove: 2 and 1 are comp.
Write a Paragraph Proof!
Warm Up
Given: 2 and 3 are complementary
1 3
Supplies Needed:
Calculator
Two Half Sheets of Paper (Supply Table)
Ruler
One Pair of Scissors (Supply Table)
Prepare for your exams
Study with the several resources on Docsity
Earn points to download
Earn points by helping other students or get them with a premium plan
Guidelines and tips
Prepare for your exams
Study with the several resources on Docsity
Earn points to download
Earn points by helping other students or get them with a premium plan
Write a Paragraph Proof!, Lecture notes of Analytical Geometry
Write a Paragraph Proof! Warm Up. Given: ∠2 and ∠3 are complementary. ∠1 ≅ ∠3. Supplies Needed: Calculator. Two Half Sheets of Paper (Supply Table).
Typology: Lecture notes
2022/2023
1 / 28
This page cannot be seen from the preview
Don't miss anything!
Related documents
Partial preview of the text
Download Write a Paragraph Proof! and more Lecture notes Analytical Geometry in PDF only on Docsity!
Prove: 2 and 1 are comp.
Write a Paragraph Proof!
Warm Up
Given: 2 and 3 are complementary
Supplies Needed: Calculator Two Half Sheets of Paper (Supply Table) Ruler One Pair of Scissors (Supply Table)
Draw a large-ish triangle on one
of your half sheets using a ruler.
Cut your triangle out.
Tear off the three corners of the
triangle.
Rearrange the angles so their
sides are adjacent and their
vertices meet at a point
What do you notice?
The sum of the interior angles of a triangle
add to __________
What do you notice?
The sum of the interior angles of a
quadrilateral add to __________
Draw as many parallel lines to
line l as you can that go
through point P
l
P
An auxiliary line is a line that is added to a
figure to aid in a proof.
An auxiliary line used in the Triangle Sum Theorem. Line l is parallel to line segment AC. We can draw this auxillary line because of the parallel postulate (there is only one line parallel to line segment AC that goes through point B)
1.What is the sum of the measures
of angles 4, 2, and 5?
2.How are angles 1 and 4 related?
3.How are angles 5 and 3 related?
4.How might we write a proof using
all of this information?
Polygon- a closed
figure having three or
more sides and lying
on one plane
11 sides= hendecagon
Each segment that forms a polygon is a side of the
polygon. The common endpoint of two sides is a
vertex of the polygon. A segment that connects any
two nonconsecutive vertices is a diagonal.
A polygon is concave if any part of a
diagonal contains points in the exterior of
the polygon. If no diagonal contains points
in the exterior, then the polygon is
convex.
OR we can say a polygon is concave if it
has one or more interior angles greater
than 180°, convex if it does not
http://www.mathopenref.com/polygonconcave.html
Tell whether the polygon is regular or
irregular. Tell whether it is concave or convex.
irregular, convex
Tell whether the polygon is regular or
irregular. Tell whether it is concave or convex.
irregular, concave