Download MPP1D1

MPP1D1
Chapter 6 Test: Geometry
Name:_______________
KNOWLEDGE
1. Match the diagram or definition on the right with the correct term listed below.
Pentagon _____
A
Right triangle _____
Median _____
Alternate angles _____
Bisector _____
Supplementary angles_____
Altitude _____
Circumcircle _____
Corresponding angles _____
Line segment _____
C
H – It is a straight line from a vertex perpendicular to the side opposite the vertex.
I – A line dividing an angle into 2 equal parts.
J – A line perpendicular to the side of a triangle through its midpoint.
K – A circle constructed using the circumcentre as the centre, that passes through
each vertex of the triangle.
L – A circle inside a triangle. It is constructed using the incentre as the centre of
the circle, and it meets each side at exactly one point.
M – A line drawn from the midpoint of one side of a triangle to the opposite
vertex.
2. Fill in the Blanks
a. The supplement of an 80º angle is ________.
b. Two angles that add up to 90 º are called ___________________.
c. The centroid divides each median in the ratio __________.
d. The circumcentre lies ___________ an acute triangle, ____________ an
obtuse triangle, and ___________________ of a right-angles triangle.
e. A midsegment of a triangle is ______________ to the opposite side.
f. A diagonal of a rhombus _______________ the angles at the verticies.
g. The sum of the angles in any hexagon is ___________.
h. The sum of the exterior angles in a pentagon is ____________.
i. The diagonals of a kite are ________________ to each other.
3. Find the measures indicated by the variables.
a = _______
b = _______
c = _______
d = _______
e = _______
f = _______
g = _______
h = _______
i = _______
j = _______
APPLICATION
4. Use a compass to construct each of the following. Leave all pencil marks on you
sketches.
(a) Orthocentre
(b) Inscribed circle
5. In the diagram below, CY and AX are two medians of triangle ABC. If PX = 5 cm,
find the length of AX. Show the steps of your solution.
6. In ABC, point M is the centroid. If BM = x – 1 and MP = x – 4, find the length of
BP. Show the steps of your solution.
7. Solve for all indicated variables and angle measures.
a.
x = _______
b.
c.
d.
x = ________
a = ________
e.
Communication
8. Determine and describe what is wrong with the measures of the angles in triangle
ABC.
9. Explain why the straight lines AB and CD are not parallel.