Spiral Back: Evaluate the following when x = -2 and y = 3 1) -4y x + (3+ x 2 ) Solve the following equations: 2) x 6 = -20 3) 2x 2 = -16 4)

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1 Name: Date: / / Spiral Back: Evaluate the following when x = -2 and y = 3 1) -4y x + (3+ x 2 ) Let s see what you remember! Sticker Challenge! Solve the following equations: 2) x 6 = -20 3) 2x 2 = -16 4) 3 4 x = 6 5) When multiplying or dividing by a number, we SWITCH the inequality sign! Solve AND graph the following inequalities (SWITCH SIGN when needed): 6) x + 3 > -7 7) -5x 20 8) -4 < x 2

2 Name: Date: / / What: Why: Math-7 NOTES Quadrilaterals so I can establish 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!

3 Congruency versus parallel marks... QUADRILATERALS:

4 Every quadrilateral has four angles that add up to degrees! 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 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!

5 Some more handy visuals... 3) What do the rhombus and square have in common? IXL: W.4 Smart Score of 90! STUDY THESE! Wrap-it-Up/ Summary: The isosceles trapezoid has ONE SET of opposite sides congruent! 1) What do the rhombus, rectangle, and square ALL have in common? 2) What do the rectangle and square have in common?

6 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 Extra Questions: List ALL figure letters that have this characteristic: Name of Quadrilaterals (most will have more than one name): 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?

7 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. 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.

8 14. A quadrilateral with two different sets of adjacent, congruent sides. 15. A quadrilateral with opposite sides congruent. 16. A quadrilateral that does NOT have to contain right angles. Circle ALL of the choices that represent the following figures: Circle ONE CHOICE that represents the BEST DESCRIPTION for each of the below figures (ONE choice):

9 Name: Date: / / Quadrilateral Characteristics

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12 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.