Quick Check 1. What type of quadrilateral is shown below? A Rectangle B Trapezoid C Rhombus D Square 2. What is true about every rhombus? A All angles are equal. B All sides are equal. C Exactly one pair of sides is parallel. D No pairs of sides are parallel. 3. Writing to Explain Draw a quadrilateral with 4 equal sides and 4 right angles. What type of special quadrilateral did you draw? What are 3 more names for that special quadrilateral? Q 8 6A
Partner Talk Share your thinking while you work. Get Started or At Your Turn Get 10 squares in one color and 10 in another color. Get two number cubes. Take turns with another player or team. Talk about math as you play! Toss two number cubes. Add the dots. Find your toss below. Follow the directions. Explain your thinking. Cover the answer. If the answer is taken, lose your turn. Have fun! Toss 2 3 4 5 6 Describe the shape. Match your description with a word or phrase on the game board. 7 8 9 10 11 12 Rectangle Quadrilateral with no parallel sides Rhombus Trapezoid Parallelogram with no right angles Trapezoid Rhombus Parallelogram with no right angles Rhombus Square Rectangle Quadrilateral with no parallel sides Trapezoid Square Quadrilateral with no parallel sides Parallelogram with no right angles How to Win You win if you are the first to get four connected rectangles, like: Center Activity H If you have more time Play again!
Partner Talk Share your thinking while you work. Get Started or At Your Turn Get 10 squares in one color and 10 in another color. Get two number cubes. Take turns with another player or team. Talk about math as you play! Toss two number cubes. Add the dots. Find your toss below. Follow the directions. Explain your thinking. Cover the answer. If the answer is taken, lose your turn. Have fun! Toss 2 3 4 5 Read the directions. Look for that polygon on the game board. If you find it, explain your choice. Find a quadrilateral that is not a trapezoid or a parallelogram. Find a quadrilateral that has two parallel sides and is not a parallelogram. Find a quadrilateral that has equal opposite sides, but has no right angles. Find a quadrilateral that is a parallelogram, but not a rectangle or a rhombus. 6 Find a rhombus that is not a square. 7 8 Find a parallelogram that is not a square but has four right angles. Find a parallelogram that is both a rhombus and a rectangle. 9 Find a quadrilateral that has no equal sides. 10 11 12 Find a quadrilateral with four equal sides that is not a square. Find a parallelogram that has no right angles and is not a rhombus. Find a parallelogram with equal sides and four right angles. How to Win You win if you are the first to get four connected rectangles, like: Center Activity HH If you have more time Play again!
Special Quadrilaterals Reteaching Many special quadrilaterals have special properties. A trapezoid has exactly one pair of parallel sides. A parallelogram has two pairs of equal parallel sides. A rectangle is a parallelogram with 4 right angles. A rhombus is a parallelogram with 4 equal sides. A square is a parallelogram with 4 right angles and 4 equal sides. Identify each polygon. Describe each polygon by as many names as possible. 1. 2. 3. 4. 5. 6. 7. Writing to Explain Marvin says that all rhombuses are squares. Aretha says that all squares are rhombuses. Who is correct? Explain. R 8 6A
Special Quadrilaterals Practice In 1 6, classify each polygon in as many ways as possible. 1. 2. 3. 4. 5. 6. 7. Draw a quadrilateral with 1 pair of parallel sides. What special quadrilateral have you drawn? 8. A parallelogram has one side that is 7 inches and one side that is 11 inches. What is the perimeter of the parallelogram? 9. Which shows the most likely side lengths for a parallelogram? A 2, 2, 6, 2 B 2, 6, 2, 6 C 2, 2, 3, 6 D 2, 6, 6, 6 10. Writing to Explain What characteristics help you tell the difference between a rhombus and a rectangle? Explain. P 8 6A
Always, Sometimes, or Never! Many different polygons have special relationships. Understanding these relationships will help you have a better understanding of polygons. Write whether these statements are true Always, Sometimes, or Never. Be careful, some of them may be tricky! 1. All quadrilaterals are polygons. Enrichment 2. All rectangles are quadrilaterals. 3. All trapezoids are rectangles. 4. All parallelograms are quadrilaterals. 5. All squares are rhombuses. 6. A rhombus is a square. 7. A square is a rectangle. 8. A rectangle is a square. 9. A polygon is a rectangle. 10. A quadrilateral is a trapezoid. 11. All parallelograms are trapezoids. 12. A trapezoid is a parallelogram. 13. A quadrilateral is a square. 14. A rectangle is a quadrilateral. 15. A rhombus is a polygon. 16. A polygon is a square. Now you make up your own Always, Sometimes, or Never statement. Trade with a partner. E 8 6A