WORKBOOK SAMPLER Chapter 7: Polygons - Nelson Education

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7 Getting You will need • a millimetre ruler • a protractor equilateral triangle a triangle with three equal sides 1. A triangle is a polygon with three straight sides and three vertices. Use side lengths to classify the triangles in the picture of a crane below. a) Which triangle is an equilateral triangle b) Which triangle is an isosceles triangle c) Which triangle is a scalene triangle 1 2 3 isosceles triangle a triangle with exactly two equal sides scalene triangle a triangle with no equal sides 2. Use angles to classify the triangles in the picture of a crane. a) Which triangle is an acute triangle 3 b) Which triangle is an obtuse triangle 1 c) Which triangle is a right triangle 2 3 1 2 acute triangle a triangle with each angle less than 908 obtuse triangle a triangle with one angle that is greater than 908 right triangle a triangle with one angle that is equal to 908 3. Measure the side lengths and interior angles of the triangles below. Use millimetres for the side lengths. Record the measurements on the diagrams. 34 mm 34 mm 1 45° 35 mm 35 mm 2 48 mm 60° 60° 35 mm 60° 60 mm 60 mm AW12SB 33° 33° 0176519637 45° 3 FN 36 mmC07-F02-AW12SB 114° 36 mm CO CrowleArt Group Technical Pass 3rd pass Approved Not Approved 36 mm 36 mm 55 mm 4. Use the triangles in Question 3. What do you notice about the measure of the angle opposite the longest side in each triangle 33° 4 114° 33° The largest angle is opposite the longest side. 65° 22 mm 5 25° 50 mm 162 Apprenticeship and Workplace 12 NEL 6 Apprenticeship and Workplace 12 NEL
5. Which triangles in Question 3 match each description a) equilateral triangle: 2 b) scalene triangle: 5 c) obtuse triangle: 3 and 4 d) regular polygon: 2 6. a) Which two triangles in Question 3 are congruent 3 and 4 b) Two angles in triangle 5 are complementary. What are the measures of these angles 658 and 258 7. Use the marks on each shape. Fill in the blanks below. a) I J b) B C c) Q regular polygon a closed shape with all sides equal and all angles equal complementary angles two angles whose sum is 908 R H K side HI 5 side side IJ 5 side KJ HK 8. a) The diagram below shows a transversal crossing two parallel lines. Record the angle measures on the diagram. Do not measure the angles. D / DBC 5 / DCB P S QR and PS are parallel . transversal a line that intersects two or more lines 20° 160° 160° 20° 20° 160° 160° b) What are the measures of two opposite angles in the diagram e.g., 208 and 208 OR 1608 and 1608 20° opposite angles non-adjacent angles that are formed by two intersecting lines c) What are the measures of two supplementary angles in the diagram 1608 and 208 9. Dawn plans to install a ridge vent on a roof. This will cool the attic. The angle of the vent needs to equal /RST at the peak of the roof. Dawn knows the measurements in the diagram. a) What type of triangle is nRST e.g., isosceles b) What is the measure of /RST How do you know The measure of /RST is 1048. The sum of the angles R supplementary angles two angles whose sum is 1808 30 ft 30 ft 38° S 38° T in any triangle is 1808. 1808 2 388 2 388 5 1048 NEL NEL Chapter 7 Polygons 163 Chapter 7 Polygons 7
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WORKBOOK SAMPLER Chapter 7: Polygons - Nelson Education

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