Today’s Lesson: What: Quadrilaterals Why: . . . so I can establish basic geometry vocabulary and focus on quadrilateral relationships.

What do the rhombus, rectangle, and square ALL have in common?

What do the rectangle and square have in common?

What do the rhombus and square have in common?

Congruent– objects that are the __________ size and shape. What do you remember?? Prior Knowledge/ Essential Vocabulary . . . Congruent– objects that are the __________ size and shape. Line— goes ________________ in both directions. (⟷ ) Ray— goes forever in _________ direction. ( ⟶ ) Line Segment– has both a beginning and an _______. ( ─ ) Parallel Lines– two or more lines that will never ________________ . ( | | ) Perpendicular – two line segments/ lines that meet in such a way that ___________ angles are formed. (⏊) same forever one end intersect right

Vertex — __________ where two line segments meet. Prior Knowledge/ Essential Vocabulary . . . Vertex — __________ where two line segments meet. Angle— formed when two _________ come together at the same vertex. Acute Angle— measures ________ than ______ . Obtuse Angle–measures ________ than ______ . Right Angle– measures exactly ______ . point lines less 90° more 90° 90°

Polygons are NOT __________ . 3 segments curved Prior Knowledge/ Essential Vocabulary . . . Polygon— simple, closed figure formed by _____ or more line _____________ . Polygons are NOT __________ . 3 segments curved

Adjacent Sides— two sides of a polygon that share the same ___________ (side-by-side). Opposite Sides— sides that are directly ______________ from one another. Opposite Angles– angles directly across the figure– NOT _____________. Diagonal– line that connects two opposite _____________ . vertex across adjacent angles Side AB is adjacent to both BC and AD! Side AB is opposite to DC!

Examples of “Congruency” and “Parallel” Notation: congruent parallel

BRAIN BREAK!! “Which one will it be?”

QUADRILATERALS: 4 Quadrilateral: Trapezoid: parallel Kite I am ANY closed figure with ____ sides and 4 angles! Trapezoid: I have ONE set of __________________ sides! 4 parallel Kite Parallelogram: My opposite sides are BOTH ____________ AND _____________! parallel congruent Rectangle: I am a parallelogram that MUST have 4 __________ angles! Rhombus: I am a parallelogram that MUST have 4 ________________ sides! right congruent Square: I am BOTH a rhombus and a _____________ because I have BOTH 4 right angles and 4 congruent sides!! rectangle

Whatever! I only have ONE set of parallel sides! Special properties of the parallelogram . . . Parallelogram: I have TWO SETS of parallel sides!! Trapezoid: Whatever! I only have ONE set of parallel sides! If a quadrilateral is a parallelogram, then it also has . . . opposite sides _____________________ opposite ______________ congruent _________________ that splits figure into two congruent triangles (bisects figure) diagonals that ____________ eachother congruent angles diagonal bisect ALL Remember, if the above is true for a parallelogram, then it is also true for __________ of the parallelograms (rectangle, rhombus, and square)!!!

How ARE quadrilaterals rELATED? ALWAYS UP, SOMETIMES DOWN, NEVER SIDE-to-SIDE! Every quadrilateral has four angles that add up to_____degrees! 360

Some more handy visuals . . . STUDY THIS!

The isosceles trapezoid has ONE SET of opposite sides congruent! Some more handy visuals . . . STUDY THIS TOO! The isosceles trapezoid has ONE SET of opposite sides congruent!

What do the rhombus, rectangle, and square ALL have in common? Wrap-it-up/summary: What do the rhombus, rectangle, and square ALL have in common? What do the rectangle and square have in common? What do the rhombus and square have in common? They are all parallelograms. Both MUST have 4 90 degree angles! Both MUST have 4 congruent sides!

END OF LESSON