Download MPM1D Grade 9 Geometry Test 2

MPM1D Grade 9 Academic
Geometry Test
K/U
/15
APP
15
TH
/12
COM
/6
Knowledge and Understanding
1. 𝑴𝒖𝒍𝒕𝒊𝒑𝒍𝒆 𝑪𝒉𝒐𝒊𝒄𝒆
1) In the diagram, 𝒂 + 𝒃 + 𝒄 = ?
2) The sum of the interior angles in an octagon is
3) What is the measure of each interior angle of a regular dodecagon
(12)?
4) How would you classify the polygon below?
5) A trapezoid has parallel sides of length 22 mm and 44 mm. Its other
sides measure 10 mm and 17 mm. What is the length of the bimedian
joining the two non parallel sides?
2. Fill in the blanks.
1) A line that intersects a pair of parallel lines is called a _________.
2) A line that joins each vertex to the midpoint of the opposite side is
called the ____________.
3) The sum of the interior angles on the same side of the transversal is
______.
4) In a polygon with n sides the sum of the interior angles is ______.
5) The line segment that joins the midpoints of two sides in a triangle or
the midpoints of two opposite sides in a quadrilateral is called the
_____________ .
6) All ___________ polygons have equal side lengths and equal interior
angles.
3. A regular polygon has exterior angles that each measure 𝟐𝟒𝐨 How
many sides does this polygon have? [2]
4. Find the measure of the exterior angle, x. Justify your answer. [2]
Application
5. An interior angle of an isosceles triangle is the measure of the adjacent
exterior angle multiplied by 5. Determine the measure of
each interior angle of the triangle. [3]
6. In this diagram, find the value of x and y. Show your work. Justify
your answer. [3]
7. Find the value of y in the following diagram. Show your work. [3]
8. Is PQ parallel to RT? Explain why or why not. [3]
9. Solve for x and y. Show your work. [3]
Thinking
10. Quadrilateral ABCD is a rhombus. Find the perimeter of the rhombus
if 𝑨𝑶 = 𝟔 𝒄𝒎 and 𝑩𝑶 = 𝟖 𝒄𝒎. Show all the steps of your solution. [3]
11. If the sum of the exterior angles of a polygon is half the sum of the
interior angles of the polygon, how many sides does this polygon have?
[3]
12. Find ∠𝑨𝑫𝑪. [3]
13. Sketch any scalene triangle and its three right bisectors. What is the
intersection point of these right bisectors called? [3]
Communication
14. Tim recorded the measures of the five interior angles of a pentagon as
follows: 𝟖𝟔𝐨 , 𝟗𝟖𝐨 , 𝟏𝟎𝟑𝐨 , 𝟏𝟐𝟒𝐨 , 𝟏𝟐𝟖𝐨 . Is there a problem with these
measurements? Explain. [3]
15. When will the altitudes of a triangle meet outside the triangle? [3]