WORKBOOK SAMPLER Chapter 7: Polygons - Nelson Education
WORKBOOK SAMPLER Chapter 7: Polygons - Nelson Education
WORKBOOK SAMPLER Chapter 7: Polygons - Nelson Education
Create successful ePaper yourself
Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.
Mid-chapter<br />
1. Ty says that if you know all the angle measures in a triangle,<br />
you will know whether the sides are equal. Do you agree<br />
Explain. Use diagrams.<br />
Yes. e.g., If three angles are equal, then the triangle is an<br />
equilateral triangle with three equal sides. If two angles are<br />
equal, the triangle is an isosceles triangle with two equal sides.<br />
2. Is each property true or false Use diagrams to explain your<br />
answers.<br />
a) The midpoints of the three sides of an equilateral triangle<br />
are joined to form four small triangles. The area of each<br />
small triangle is 1 4<br />
of the area of the original equilateral<br />
triangle.<br />
True. e.g., I tested some equilateral triangles. When<br />
I joined the midpoints, I made four small congruent<br />
triangles. So each triangle has 1 4<br />
of the area of the<br />
original equilateral triangle.<br />
b) The diagonals of a convex quadrilateral always create two<br />
pairs of equal angles where they intersect.<br />
True. e.g., The diagonals are straight lines. Where two straight<br />
lines cross, they always create two pairs of equal angles.<br />
1. e.g.,<br />
2. a) e.g.,<br />
C07-F54 -AW12.ai<br />
C07-F55 -AW12.ai<br />
2. b) e.g.,<br />
NEL<br />
3. Hayley is the lighting director for a theatre in Manitoba.<br />
AW12<br />
She wants to place a spotlight so that it shines on the centre<br />
0176519637<br />
of a rectangular stage.<br />
NEL<br />
How can Hayley use a property Company of rectangles MPS to find the<br />
centre of the stage Use the AW12 Technical rectangle at the right in your<br />
explanation.<br />
Pass<br />
1st pass<br />
e.g., Hayley can use string or<br />
Figure<br />
tape<br />
Number<br />
to mark<br />
C07-F55-AW12.ai<br />
the diagonals. The<br />
diagonals will cross at the centre of the stage. OR Hayley<br />
can mark the midpoint of each Pass side and join 1st each pass midpoint<br />
to the opposite midpoint. The lines will cross in the centre of<br />
the stage.<br />
Figure Number<br />
0176519637<br />
Approved<br />
Company Not Approved<br />
Technical<br />
Approved<br />
Not Approved<br />
C07-F54-AW12.ai<br />
MPS<br />
C07-F57 -AW12.ai<br />
C07-F58 -AW12.ai<br />
AW12<br />
<strong>Chapter</strong> 7 <strong>Polygons</strong> 173<br />
0176519637<br />
<strong>Chapter</strong> 7 <strong>Polygons</strong><br />
Figure Number C07-F57-AW12.ai<br />
C07-F59 -AW12.ai<br />
Company<br />
MPS<br />
17
Change language