Identify Attributes of Quadrilaterals

Transcription

1 SS MG 3 GG.2 dentify attributes lassify two-dimensional of quadrilaterals figures (e.g., based parallel on the presence sides for orthe absence of parallel or perpendicular lines, or the presence or absence of angles of a parallelogram, right angles for the rectangle, equal sides and specified size. Recognize right triangles as a category, and identify right triangles. right angles for the square). UNDRLYNG SKLLS AND ONS: visualize 2-dimensional figures; classify 2-dimensional figures; vocabulary for geometry dentify Attributes of Quadrilaterals Key d e a Quadrilaterals are polygons with 4 sides and 4 angles. Quadrilaterals have names that tell you about their sides and angles. parallelogram two pairs of sides of equal length and two pairs of parallel sides rectangle two pairs of sides of equal length and four right angles square four sides of equal length and four right angles rhombus four sides of equal length trapezoid exactly two parallel sides Sides of a quadrilateral can be parallel, perpendicular, or neither. Sides that are parallel are the same distance apart at any point. Sides that are perpendicular meet at a right angle. Quadrilaterals can have one or more right angles (a quarter of a turn). Quadrilaterals can have sides that are congruent (the same length). x a m p l Describe the attributes of a rectangle. How is a rectangle like a trapezoid? Both figures have 4 sides. So they are both quadrilaterals. Rectangle rapezoid How is a rectangle different from a trapezoid? Rectangle rapezoid 4 right angles 2 pairs of parallel sides 1 pair of parallel sides 2 pairs of congruent sides 1 pair of non parallel sides page 272 hapter 23 Lesson 4

2 R A 4 right angles; 2 pairs of congruent sides no right angles; 2 sets of congruent sides For each quadrilateral, draw an example that is different from those above. 6. rectangle 7. square 8. trapezoid 9. parallelogram 10. s a square also a rectangle? Why or why not? Yes; because the opposite sides of a square are parallel and it has 4 right angles. hapter 23 Lesson 4 all sides are congruent; page 273

3 R A at home! For each quadrilateral, draw an example that is different from page parallelogram 7. trapezoid 8. square 9. rectangle no right angles; 2 pairs of congruent sides (parallelogram) 4 right angles; 2 sets of congruent sides (rectangle) (square) (trapezoid) 2 pairs of congruent sides; (parallelogram); 10. s a rectangle also a square? Why or why not? No; because a square has all sides congruent. A rectangle may have two pairs of different length sides. page 184 Home Resource and Homework hapter 23 Lesson 4

4 R A 4 right angles; 2 pairs of congruent sides no right angles; 2 sets of congruent sides For each quadrilateral, draw an example that is different from those above. 6. rectangle 7. square 8. trapezoid 9. parallelogram 10. s a square also a rectangle? Why or why not? Yes; because the opposite sides of a square are parallel and it has 4 right angles. hapter 23 Lesson 4 all sides are congruent; Student Book age page 273

5 R A at home! For each quadrilateral, draw an example that is different from page parallelogram 7. trapezoid 8. square 9. rectangle no right angles; 2 pairs of congruent sides (parallelogram) 4 right angles; 2 sets of congruent sides (rectangle) (square) (trapezoid) 2 pairs of congruent sides; (parallelogram); 10. s a rectangle also a square? Why or why not? No; because a square has all sides congruent. A rectangle may have two pairs of different length sides. page 184 Home Resource and Homework hapter 23 Lesson 4