Triangles
Math ⇒ Geometry
Triangles starts at 6 and continues till grade 12.
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See sample questions for grade 11
A triangle has two equal sides and one different side. What type of triangle is this?
Describe the conditions under which two triangles are congruent by the Side-Angle-Side (SAS) criterion.
Explain the difference between congruent and similar triangles.
Explain why the sum of the exterior angles of any triangle is always 360 degrees.
State the Cosine Rule for any triangle.
State the Sine Rule for any triangle.
Given a triangle with vertices at A(0,0), B(4,0), and C(0,3), calculate the length of side BC.
If the coordinates of the vertices of a triangle are A(1,2), B(4,6), and C(7,2), calculate the area of the triangle.
Which of the following is NOT a property of the medians of a triangle?
(1) All medians intersect at a single point called the centroid.
(2) The centroid divides each median in a 2:1 ratio.
(3) The medians are always equal in length.
(4) The centroid is always inside the triangle.
Which of the following is NOT a valid triangle congruence criterion?
(1) SSS
(2) SAS
(3) SSA
(4) ASA
Which of the following is true for the altitudes of a triangle?
(1) They always meet outside the triangle.
(2) They always meet at the centroid.
(3) They always meet at the orthocenter.
(4) They are always equal in length.
Which of the following sets of numbers can be the lengths of the sides of a triangle?
(1) 2, 3, 6
(2) 5, 7, 10
(3) 1, 2, 4
(4) 8, 15, 24
The circumradius (R) of a triangle with sides a, b, c and area Δ is given by R = ________.
The orthocenter of a triangle is the point where the ________ intersect.
The point of intersection of the angle bisectors of a triangle is called the ________.
The sum of the lengths of any two sides of a triangle must be ________ than the length of the third side.
Given a triangle with sides 9 cm, 12 cm, and 15 cm, determine whether it is a right triangle.
If the sides of a triangle are 8 cm, 15 cm, and 17 cm, is the triangle a right triangle?
True or False: The centroid of a triangle always lies inside the triangle.
True or False: The incenter of a triangle is always equidistant from all three sides.
