Download grade 9 geometry review knowledge

MPM1D1
Name:__________________
GRADE 9 GEOMETRY REVIEW
KNOWLEDGE:
1. Find the measure of the exterior angle.
2. Find the measure of the unknown exterior angle.
3. The measures of two exterior angles of a triangle are 80º and 110º.
What is the measure of the third exterior angle?
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MPM1D1
Name:__________________
4. Find the measure of the exterior angle labeled x for the isosceles
triangle.
5. Find the measure of e.
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MPM1D1
Name:__________________
6. What is the measure of the smallest angle in a triangle if the measures
of the angle are x, 2x, and 3x.
7. Find the measure of c.
8. Find the measure of d.
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MPM1D1
Name:__________________
9. The measures of three interior angles of a quadrilateral are 50º, 87º,
and 108º. Find the measure of the fourth interior angle.
10. The measures of exterior angles at three vertices of a quadrilateral
are 114º, 85º, and 68º. What is the measure of the exterior angle at
the fourth vertex?
11.
Find the measure of y.
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MPM1D1
Name:__________________
12. Find the measure of c.
13.
Find the measure of y.
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MPM1D1
Name:__________________
APPLICATION:
14.
Find the sum of the interior angles of a polygon with 12 sides. [2]
15. Find the measure of each interior angle of a regular polygon with
10 sides.[2]
16. How many sides does a polygon have if the sum of its interior
angles is 1980º? [3]
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MPM1D1
Name:__________________
17. How many sides does a polygon have if each of its interior angles
measures 120º? [3]
18. Find the measure of c.
19. Find the measure of y.
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MPM1D1
Name:__________________
20. Find the sum of the interior angles of a polygon with 12 sides. [2]
21. Find the measure of each interior angle of a regular polygon with
10 sides.[2]
22. How many sides does a polygon have if the sum of its interior
angles is 1980º? [3]
23. How many sides does a polygon have if each of its interior angles
measures 120º? [3]
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MPM1D1
24.
What is the length of KD? [1]
25.
Calculate the length of AE if AC measures 22 cm. [1]
Name:__________________
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MPM1D1
Name:__________________
26. Find the measure of angle w.
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MPM1D1
Name:__________________
THINKING:
Twinkle, twinkle
Nicole notices the star design in the snow on the sidewalk while waiting
for her bus.
Determine the sum of the angles in the corners of the star:
a + b + c + d + e.
Justify your answer using geometric properties
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