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Today’s Lesson: What: Quadrilaterals Why: To introduce basic geometry vocabulary and focus on quadrilateral relationships. What do you remember?? Prior Knowledge/ Essential Vocabulary . . . same size and Congruent– objects that are the __________ shape. Line— goes ________________ in both directions. (⟷ ) forever one direction. ( ⟶ ) Ray— goes forever in _________ Line Segment– has both a beginning and an _______. end ( ─ ) Parallel Lines– two or more lines that will never intersect . ( | | ) ________________ Perpendicular – two line segments/ lines that meet right in such a way that ___________ angles are formed. (⏊) Prior Knowledge/ Essential Vocabulary . . . point where two line segments meet. Vertex — __________ lines come together Angle— formed when two _________ at the same vertex. 90° . less than ______ Acute Angle— measures ________ more than ______ 90° . Obtuse Angle–measures ________ 90° . Right Angle– measures exactly ______ Prior Knowledge/ Essential Vocabulary . . . 3 or Polygon— simple, closed figure formed by _____ segments . Polygons more line ________________ curved . are NOT __________ Adjacent Sides— two sides of a polygon that share vertex (side-by-side). the same ___________ across Opposite Sides— sides that are directly ______________ from one another. Opposite Angles– angles directly across the figure– adjacent NOT __________________. angles . Diagonal– line that connects two opposite _____________ Side AB is adjacent to both BC and AD! Side AB is opposite to DC! Examples of “Congruency” and “Parallel” Notation: congruent parallel QUADRILATERALS: Quadrilateral: I am ANY closed figure 4 sides and 4 with ____ angles! Trapezoid: I have ONE set of parallel __________________ sides! Kite Parallelogram: My opposite sides are BOTH congruent parallel AND _____________! ____________ Rectangle: Rhombus: I am a parallelogram that right angles! MUST have 4 __________ I am a parallelogram that MUST congruent sides! have 4 ________________ Square: rectangle because I I am BOTH a rhombus and a _____________ have BOTH 4 right angles and 4 congruent sides!! Special properties of the ... 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 . . . 1) opposite sides congruent _____________________ angles 2) opposite _________________ congruent diagonal that splits 3) _________________ figure into two congruent triangles (bisects figure) 4) diagonals that bisect eachother ______________ Remember, if the above is true for a parallelogram, then it is ALL of the parallelograms (rectangle, also true for __________ rhombus, and square)!!! Quadrilateral SORTING LAB (teacher will give directions) How ARE quadrilaterals rELATED? ALWAYS UP, SOMETIMES DOWN, NEVER SIDE-to-SIDE! Every quadrilateral has four angles that add up to 360 _____degrees! Some more handy visuals . . . STUDY THIS! Some more handy visuals . . . The isosceles trapezoid has ONE SET of opposite sides congruent! STUDY THIS TOO! homework IXL: 7th Grade, X.8 Smart Score of 100 Spend at least 15 min. May stop if above 90! END OF LESSON The next slides are student copies of the notes/handouts for this lesson. These were handed out in class and filled-in as the lesson progressed. Name:____________________________________________________________________________________Date:_____/_____/__________ Directions: Spread out your quadrilateral pieces with the letters facing up so you can see them. Then, fill out the chart, by finding all of the quadrilaterals with that specific requirement, list them by letter alphabetically, and identify their name. Then put all the shapes back in the center and move on to the next characteristic. Characteristic: 1. Has 4 right angles 2. Has exactly ONE pair of parallel sides 3. Has two different pairs of opposite sides congruent 4. Has two different pairs of adjacent sides congruent 5. Has TWO sets of parallel sides 6. Has all 4 sides congruent 7. Has no sides congruent 8. Has opposite sides congruent 9. Has BOTH 4 congruent sides AND 4 right angles List ALL figure letters that have this characteristic: Name of Quadrilaterals (most will have more than one name): Extra Questions: 10. Pull out quadrilaterals A, B, D, E, G, and K. What name best describes ALL of these quadrilaterals? 11. Pull out quadrilateral A. What is the best name for this quadrilateral? _______________________________ Now, what other names could also describe figure A? ______________________________________________________________________________________________________________ 12. Pull out quadrilateral K. What is the best name for this quadrilateral? ______________________________ Now, what other names could also describe figure K? ______________________________________________________________________________________________________________ NAME: DATE: ______/_______/_______ Math-7 NOTES What: Quadrilaterals Why: To introduce basic geometry vocabulary and focus on quadrilateral relationships. 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 __________ . 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 _______________ . Side AB is adjacent to both BC and AD! Side AB is opposite only to DC! Congruency versus parallel marks . . . QUADRILATERALS: Special properties of the ... Trapezoid: Whatever! I only have ONE set of parallel sides! Parallelogram: I have TWO SETS of parallel sides!! If a quadrilateral is a parallelogram, then it also has . . . 1) opposite sides _____________________ 2) opposite _________________ congruent 3) _____________ that splits figure into two congruent triangles (bisects figure) 4) diagonals that ______________ eachother 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! Some more handy visuals . . . STUDY THESE! The isosceles trapezoid has ONE SET of opposite sides congruent! IXL: X.8 Smart Score of 100 Name:__________________________________________________________________________________ Date: _____/_____/__________ “Quadrilateral Characteristics” True or False (correct “False” answers in order to make them “True”): 1) _____ Every square is also a rhombus. 2) _____ Every rhombus is also a square. 3) _____ Every rectangle is a parallelogram. 4) _____ Parallelograms have opposite sides that are perpendicular. 5) _____ A square is a special type of trapezoid. 6) _____ Not all rectangles are squares. 7) _____ It is impossible for a square to also be a rectangle. 8) _____ A trapezoid is a parallelogram. 9) _____ Every trapezoid is also a quadrilateral. 10) _____ A quadrilateral can have more than four angles. 11) _____ The trapezoid is the only quadrilateral that is NOT a parallelogram. 12) _____ SpongeBob has square pants. 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. A. Sometimes B. Always C. Never 3. A rectangle is a square. A. Sometimes B. Always C. Never 4. A trapezoid is a parallelogram. A. Sometimes B. Always C. Never 5. A square is a rhombus. A. Sometimes B. Always C. Never 6. A rhombus is a square. A. Sometimes B. Always C. Never 7. A kite is a trapezoid. A. Sometimes B. Always C. Never 8. A rhombus is a rectangle. A. Sometimes B. Always C. Never Circle ALL of the choices that could make the following statements true: 9. 10. 11. 12. 13. A quadrilateral with exactly four congruent (equal) sides. A quadrilateral with exactly four right angles. A quadrilateral with two sets of parallel sides. A quadrilateral with exactly one set of parallel sides. 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 14. 15. 16. A quadrilateral with two different sets of adjacent, congruent sides. A quadrilateral with opposite sides congruent. A quadrilateral that does NOT have to contain right angles. 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 Square Trapezoid Rhombus Parallelogram Rectangle Kite Circle ALL of the choices that represent the following figures: 17. 18. 19. Circle ONE CHOICE that represents the BEST DESCRIPTION for each of the below figures (ONE choice): 20. Square Trapezoid Rhombus Parallelogram Rectangle Kite Square Trapezoid Rhombus Parallelogram Rectangle Kite Square Trapezoid Rhombus Parallelogram Rectangle Kite 21. 22.