Let’s see what you remember! Name:________________________________________________________________________________Date:_____/_____/__________ BRAIN BLITZ/Warm-UP Spiral Back: Evaluate the following when x = -2 and y = 3 1) -4y – x + (3+ x2) Solve the following equations: 5) When multiplying or dividing by a _________________ number, we SWITCH the inequality sign! Let’s see what you remember! 2) x – 6 = -20 3) 2x – 2 = -16 4) 3 4 x = 10 Solve AND graph the following inequalities (SWITCH SIGN when needed): 6) x + 3 > -7 7) -5x ≥ 20 8) -4 < 𝑥 2

Today’s Lesson: What: Quadrilaterals Why: To introduce basic geometry vocabulary and focus on quadrilateral relationships.

same forever one end intersect right 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

point lines less 90° more 90° 90° 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°

Prior Knowledge/ Essential Vocabulary . . . Polygon— simple, closed figure formed by _____ or more line ________________ . Polygons are NOT __________ . Triangle — _____ sides. Quadrilateral — _____ sides. Pentagon — _____ sides. Hexagon— _____ sides. Heptagon — _____ sides. Octagon — _____ sides. Nonagon — _____ sides. Decagon — _____ sides. 3 segments curved 3 4 5 6 7 8 9 10

vertex opposite Adjacent Sides— two sides of a polygon that share the same ___________ (side-by-side). Opposite Sides— sides that are directly ______________ from one another. vertex opposite

There is a total of ___________ degrees in every quadrilateral! Quadrilateral Vocabulary . . . Vocabulary: Quadrilateral– closed figure with ______ sides and ________ angles. Trapezoid– has one pair of ____________ sides. Parallelogram– opposite sides ___________ and opposite sides ____________. The diagonals in every parallelogram _____________ eachother (cuts shape into 2 equal parts). Rectangle– parallelogram with 4 __________ angles. Square– parallelogram with 4 right angles and 4 ______________ sides. Rhombus– parallelogram with 4 congruent ___________ . There is a total of ___________ degrees in every quadrilateral! 4 4 parallel parallel congruent bisect right congruent sides 360

Quadrilaterals . . . How ARE they rELATED? ALWAYS UP, SOMETIMES DOWN, NEVER SIDE-to-SIDE!

(teacher will give directions) Quadrilateral SORTING LAB (teacher will give directions)

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

Place a check mark in the appropriate boxes: Quadrilateral characteristics . . . Place a check mark in the appropriate boxes: Only 1 set of parallel sides 2 sets of parallel sides 4 congruent sides 2 sets of congruent sides Opposite angles congruent Diagonals bisect the figure MUST have 4 right angles Parallelogram Rectangle Rhombus Square Trapezoid Kite √ √ √ √ √ √ √ √ √ √ √ √ √ √ √ √ √ √ √ √

END OF LESSON The next slides are student copies of the notes for this lesson. These notes were handed out in class and filled-in as the lesson progressed. NOTE: The last slide(s) in any lesson slideshow represent the homework assigned for that day.

Prior Knowledge/ Essential Vocabulary Math-7 NOTES DATE: ______/_______/_______ What: Quadrilaterals Why: To introduce basic geometry vocabulary and focus on quadrilateral relationships. NAME: 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 ________________ . ( I I ) Perpendicular – two line segments/ lines that meet in such a way that ___________ angles are formed. (┴) 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 ______ . Polygon— simple, closed figure formed by _____ or more line ________________ . Polygons are NOT __________ . Triangle — _____ sides. Quadrilateral — _____ sides. Pentagon — _____ sides. Hexagon— _____ sides. Heptagon — _____ sides. Octagon — _____ sides. Nonagon — _____ sides. Decagon — _____ sides. Adjacent Sides— two sides of a polygon that share the same ___________ (side-by-side). Opposite Sides— sides that are directly ________________ from one another.

There is a total of ___________ degrees in every quadrilateral! Quadrilateral Vocabulary: Quadrilateral– closed figure with ______ sides and ________ angles. Trapezoid– has one pair of ____________ sides. Parallelogram– opposite sides ___________ and opposite sides ____________. The diagonals in any parallelogram _________________ eachother (cuts shape into 2 equal parts). Rectangle– parallelogram with 4 __________ angles. Square– parallelogram with 4 right angles and 4 ______________ sides. Rhombus– parallelogram with 4 congruent ___________ . There is a total of ___________ degrees in every quadrilateral! HOW ARE quadrilaterals RELATED? ALWAYS UP, SOMETIMES DOWN, NEVER SIDE-to-SIDE!

Examples of “Congruency” and “Parallel” Notation: 4 sides congruent Matching tick marks mean those sides are _________________. Top congruent to bottom/ Left congruent to right . . . Matching arrow marks mean those sides are _________________. Top parallel to bottom/ Left parallel to right . . . Quadrilateral characteristics . . . Place a check mark in the appropriate boxes: Parallelogram Rectangle Rhombus Square Trapezoid Kite Only 1 set of parallel sides 2 sets of parallel sides 4 congruent sides 2 sets of congruent sides Opposite angles congruent Diagonals bisect the figure MUST have 4 right angles

“Quadrilateral Characteristics” Name:__________________________________________________________________________________ Date: _____/_____/__________ Math-7 Classwork “Quadrilateral Characteristics”

_____ Every square is also a rhombus. True or False (correct “False” answers in order to make them “True”): _____ Every square is also a rhombus. _____ Every rhombus is also a square. _____ Every rectangle is a parallelogram. _____ Parallelograms have opposite sides that are perpendicular. _____ A square is a special type of trapezoid. _____ Not all rectangles are squares. _____ It is impossible for a square to also be a rectangle. _____ A trapezoid is a parallelogram. _____ Every trapezoid is also a quadrilateral. _____ A quadrilateral can have more than four angles. _____ The trapezoid is the only quadrilateral that is NOT a parallelogram. 12) _____ SpongeBob has square pants.

“Analyzing Quadrilaterals” Math-7 homework Name:____________________________________________________________________________________Date:_____/_____/__________ “Analyzing Quadrilaterals” Circle the choice that makes the following statements true: 1. A rectangle is a parallelogram. A. Sometimes B. Always C. Never 2. A parallelogram is a rectangle. 3. A rectangle is a square. 4. A trapezoid is a parallelogram. 5. A square is a rhombus. 6. A rhombus is a square. 7. A kite is a trapezoid. 8. A rhombus is a rectangle. Circle ALL of the choices that could make the following statements true: 9. A quadrilateral with exactly four congruent (equal) sides. 10. A quadrilateral with exactly four right angles. 11. A quadrilateral with two sets of parallel sides. 12. A quadrilateral with exactly one set of parallel sides. 13. A quadrilateral with two different sets of opposite, congruent sides. Square Trapezoid Rhombus Parallelogram Rectangle Kite Square Trapezoid Rhombus Parallelogram Rectangle Kite Square Trapezoid Rhombus Parallelogram Rectangle Kite Square Trapezoid Rhombus Parallelogram Rectangle Kite Square Trapezoid Rhombus Parallelogram Rectangle Kite

A quadrilateral with two different sets of adjacent, congruent sides. 14. A quadrilateral with two different sets of adjacent, congruent sides. Square Trapezoid Rhombus Parallelogram Rectangle Kite 15. A quadrilateral with opposite sides congruent. 16. A quadrilateral that does NOT have to contain right angles. Square Trapezoid Rhombus Parallelogram Rectangle Kite Square Trapezoid Rhombus Parallelogram Rectangle Kite Circle ALL of the choices that represent the following figures: 17. 18. 19. Square Trapezoid Rhombus Parallelogram Rectangle Kite Square Trapezoid Rhombus Parallelogram Rectangle Kite Square Trapezoid Rhombus Parallelogram Rectangle Kite Circle ONE CHOICE that represents the BEST DESCRIPTION for each of the below figures (ONE choice): 20. 21. 22. Square Trapezoid Rhombus Parallelogram Rectangle Kite Square Trapezoid Rhombus Parallelogram Rectangle Kite Square Trapezoid Rhombus Parallelogram Rectangle Kite