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WORKBOOK SAMPLER Chapter 7: Polygons - Nelson Education

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5. Which triangles in Question 3 match each description<br />

a) equilateral triangle: 2<br />

b) scalene triangle: 5<br />

c) obtuse triangle: 3 and 4<br />

d) regular polygon: 2<br />

6. a) Which two triangles in Question 3 are congruent 3 and 4<br />

b) Two angles in triangle 5 are complementary.<br />

What are the measures of these angles 658 and 258<br />

7. Use the marks on each shape. Fill in the blanks below.<br />

a) I J<br />

b) B C<br />

c) Q<br />

regular polygon<br />

a closed shape<br />

with all sides<br />

equal and all<br />

angles equal<br />

complementary<br />

angles<br />

two angles whose<br />

sum is 908<br />

R<br />

H<br />

K<br />

side HI 5 side<br />

side<br />

IJ<br />

5 side<br />

KJ<br />

HK<br />

8. a) The diagram below shows a transversal crossing two<br />

parallel lines. Record the angle measures on the diagram.<br />

Do not measure the angles.<br />

D<br />

/ DBC<br />

5 /<br />

DCB<br />

P<br />

S<br />

QR and PS are<br />

parallel .<br />

transversal<br />

a line that<br />

intersects two or<br />

more lines<br />

20°<br />

160°<br />

160°<br />

20°<br />

20°<br />

160°<br />

160°<br />

b) What are the measures of two opposite angles in the<br />

diagram<br />

e.g., 208 and 208 OR 1608 and 1608<br />

20°<br />

opposite angles<br />

non-adjacent<br />

angles that are<br />

formed by two<br />

intersecting lines<br />

c) What are the measures of two supplementary angles in<br />

the diagram 1608 and 208<br />

9. Dawn plans to install a ridge vent on a roof.<br />

This will cool the attic. The angle of the vent<br />

needs to equal /RST at the peak of the roof.<br />

Dawn knows the measurements in the diagram.<br />

a) What type of triangle is nRST<br />

e.g., isosceles<br />

b) What is the measure of /RST How do you know<br />

The measure of /RST is 1048. The sum of the angles<br />

R<br />

supplementary<br />

angles<br />

two angles whose<br />

sum is 1808<br />

30 ft 30 ft<br />

38°<br />

S<br />

38°<br />

T<br />

in any triangle is 1808. 1808 2 388 2 388 5 1048<br />

NEL<br />

NEL<br />

<strong>Chapter</strong> 7 <strong>Polygons</strong> 163<br />

<strong>Chapter</strong> 7 <strong>Polygons</strong><br />

7

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