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Transcript
Math CC7/8 – Be Prepared
On Desk:
1.
2.
3.
4.
Learning Log:
• HW: WS- Parallel Lines &
Missing Angles
Pencil
Math Journal
Learning Log
Reminders:
Parent Signature?
• Picture Day – Tuesday!
1. Tracking Sheet
2. Quiz
• GTS - Parent Sig.? Quiz?
• Quiz Retake Monday in class
• SD Test Wed 9/28
Picture Day –Tues. 9/27 during Math
Fundraiser – Keep selling!
Tasks for Today
Cool Website: Mathopenref.com
•
Open in Chrome: Polygons < exterior angles
•
•
•
•
Finish yesterday’s Lesson?
Notes/Warm Up – in journal
Inv. 3.4 with journal notes
Begin HW?
No!
The sum of the 3 shortest side lengths must
be greater than the longest side length.
Yes!
If it is possible to make one quadrilateral from
4 side lengths, it is possible to make many
different shapes from the same lengths.
Parallelograms (including rectangles)
require opposite sides to be equal.
Squares (rhombuses too) require all 4
sides to be equal.
The triangle holds firm or rigid until the
sides themselves buckle!
If you push down on a vertex, it deforms
into a different shape.
Summarize Tomorrow?
For both triangles and quadrilaterals –
• Each side must be less than the sum of the
others.
Triangles are rigid figures.
Quadrilaterals and other polygons are NOT!
This is why triangles are used in building
structures.
Take notes in your journal – sketch examples
SD Inv. 1, p. 9 (we skipped)
Opposite
angles of any
parallelogram
are congruent.
Consecutive angles of any parallelogram are
supplementary (180 degrees).
Given just one angle measurement you
can find all other angles!
Sketch the 2 lines and transversal below
A transversal through a set of
parallel lines forms
congruent angles.
(a, c, e, and h are congruent)
(b, d, f, and g are congruent)
Vertical angles:
a and c
b and d
e and h
f and g
2. Supplementary angles are any
adjacent pair:
a and b, b and c, c and d, a and d,
e and f, f and h, g and h, and e
and g.
3. Vertical angles are always
congruent! If a and c are vertical,
they have a common supplement
b, so they must be the same
measure.
Warm Up
Good Review before Retake!