Math CC7/8 – Be Prepared On Desk: In Your Journal: In Planner:

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Presentation transcript:

Math CC7/8 – Be Prepared On Desk: In Your Journal: In Planner: SD 3.4 Parallel Lines and Transversals Warm Up-ON COUNTER Last night’s HW In Planner: HW: WS- Parallel Lines & Missing Angles

Tasks for Today Cool Website: Mathopenref.com Open in Chrome: Polygons < exterior angles Ladybug task 3.4 Parallel Lines and Transversals 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.

The diagonal brace makes it rigid because it makes 2 triangles!

For both triangles and quadrilaterals – 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

Warm Up Good Review before Retake!

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.