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Grade 9 Academic Math Review
I should be able to:
✔
c) Find the unknown angles shown in the parallelogram.
Unit 6 – Geometry
describe the properties and relationships of the interior and
exterior angles of triangles, quadrilaterals, and other
polygons, and apply the results to problems involving the angles
of polygons;
1
a) Find the measures of the exterior angles of ∆PQR.
3
Vocabulary
b) Find the measure of ABD.
a) A gazebo is built in the shape of a regular polygon with 10 sides.
Find the measure of each of the exterior angles.
b) A swimming pool is made in the shape of a regular polygon with
18 sides. Find the sum of the interior angles.
c) Find the measure of each of the interior angles of the swimming
pool in part b).
2
a) Find the measure of the unknown angle shown.
d) The sum of the interior angles of a polygon is 2160º. Find the
number of sides.
Correction Notes for Geometry Unit Test
➔
➔
➔
➔
➔
b) Find the measure of the unknown angle shown.
4
a) ∆ABC has a base BC = 5 cm and a height AD = 4 cm. A line segment
EF is drawn joining the midpoints of sides AB and AC. Find the length of
this line segment.
6
8
Identify a pair of the following angles in the diagram:
a) In ∆ABC, AB = 6cm, BC = 8 cm, CA = 10 cm. What is the perimeter
of ∆ADE ?
(a) Corresponding Angles : _____ and _____
(b) Co-interior Angles: _____ and _____
d
(c) Alternate Angles: _____ and _____
(d) Opposite Angles : _____ and _____
b
a
c
f
e
h
a
d
g
(e) Supplementary Angles : _____ and _____
7
c
The fourth angle measures __________°.
b) In this diagram, the value of (a + b) is ___________°.
*Give your answer as a number of degrees.
b) Find the height of AEF. ∆
9
c) The diagram represents which type of quadrilateral ? _________.
5
a) A quadrilateral has vertices at (–2, 1), (5, 2), (4, –4), and (–4, –3).
Show that the quadrilateral formed by joining the midpoints of the sides
is a parallelogram.
d)
Determine the value of the angles indicated in the diagram.
a : _______________
a
b : _______________
c : _______________
b
e
d
c
b
b) What is the value of x in the diagram ?
a) The sum of three interior angles of a quadrilateral is 290°.
c)A median is drawn from point A to G, the midpoint of BC. Find the area
of ABG. ∆
e
d : _______________
e : _______________