WORKBOOK SAMPLER Chapter 7: Polygons - Nelson Education

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7.2 Quadrilaterals You will need • coloured pencils • a millimetre ruler • a protractor Try These Circle the polygons. quadrilateral a polygon with four straight sides and four vertices convex a polygon with no interior angles that are greater than 1808 Brady installs stained-glass windows in Victoria. How can you describe the quadrilaterals in this window e.g., square trapezoid parallelogram rhombus rectangle kite triangle (not a quadrilateral) 1 Label an example of each convex quadrilateral in Brady’s window. Draw an arrow to the quadrilateral. A rectangle has four 908 angles. Convex quadrilaterals A square is a rectangle with four equal sides. A parallelogram has opposite sides that are parallel and equal. A rhombus is a parallelogram with four equal sides. A trapezoid has only one pair of parallel sides. A kite has two pairs of equal sides that are not opposite sides. If all four sides are equal, the quadrilateral is a rhombus. AW12SB 0176519637 2 Some polygons have more than one name. What are three other names for a square rectangle, parallelogram, and rhombus 3 Label a polygon in the window that is not a quadrilateral. How do you know that it is not a quadrilateral e.g., A quadrilateral has four sides and four vertices. This triangle has three sides and three vertices. 168 FN Apprenticeship and C07-F26-AW12SB Workplace NEL 12 Apprenticeship and Workplace 12 CO CrowleArt Group Technical NEL Pass 3rd pass
Example 1 Elena is a pastry chef in Fort Qu’Appelle. She cut these square pastries along a diagonal. This makes two congruent triangles. What other quadrilaterals have this property Solution A. Draw diagonals to form triangles. Use a different colour for each diagonal in each quadrilateral. diagonal a line segment joining opposite vertices rectangle parallelogram kite trapezoid B. Name quadrilaterals with each property. square irregular concave AW12SB concave quadrilateral quadrilateral 0176519637 1 rhombus quadrilateral 2 FN C07-F28-AW12SB CO CrowleArt Group Technical Property Pass 2nd pass ApprovedQuadrilaterals Both diagonals make congruent triangles. Not Approved One diagonal makes congruent triangles. No diagonals make congruent triangles. rectangle, parallelogram, rhombus, and square kite and concave quadrilateral 1 trapezoid, irregular quadrilateral, and concave quadrilateral 2 irregular a quadrilateral with different side lengths and different angle measures concave a polygon with an interior angle that is greater than 1808 ReflecTinG How do you know if each result is a property of all quadrilaterals that are the same type Use side lengths to explain. Example 2 Tessa is a carpenter in Whitehorse. She needs to check that a window frame is a rectangle. She only has a tape measure. How can she use the properties of a rectangle to check 30 mm 20 mm 36 mm 36 mm 20 mm NEL Solution A. Measure the side lengths and diagonals in each quadrilateral. Record them on the diagrams. B. How can Tessa use the properties of a rectangle NEL If the window frame is a rectangle, the opposite sides are equal and the diagonals are equal . 20 mm 30 mm 30 mm 30 mm 30 mm 41 mm 20 mm Chapter 7 Polygons 169 Chapter 7 Polygons 13
Page 1 and 2: WORKBOOK SAMPLER Chapter 7: Polygon
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Page 7 and 8: Polygons 7 Zahra is a beekeeper nea
Page 9 and 10: 5. Which triangles in Question 3 ma
Page 11 and 12: C. Is nABM congruent to nCBM How do
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Page 17 and 18: 5. Jay makes picture frames. The in
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WORKBOOK SAMPLER Chapter 7: Polygons - Nelson Education

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