Properties of Triangles
What is a triangle with no equal sides or angles called?
Scalene Triangle
Which quadrilateral has only one pair of parallel sides?
Trapezium (Trapezoid)
What is the third angle in the triangle?
Angle 1 - 40 degrees
Angle 2 - 80 degrees
Angle 3 - ?
60 degrees
What is the sum of the interior angles of any convex or non-convex quadrilateral?
360 degrees
In The Lion King, what is the name of Simba’s father?
Mufasa
What is a triangle that has three lines of symmetry called?
Equilateral Triangle
Name all quadrilaterals that must have diagonals of equal length
Rectangle and Square (also Isosceles Trapezium)
What is the third angle in the triangle?
Angle 1 - 62 degrees
Angle 2 - 72 degrees
Angle 3 - ?
46 degrees
Three angles of a quadrilateral are 80 degrees, 100 degrees, and 90 degrees. Find the fourth angle.
90 degrees
What is the name of the largest tennis tournament held annually in England?
Wimbeldon
An isosceles triangle has its top angle measuring 40 degrees. Find the two base angles.
Both 70 degrees
Which quadrilateral has diagonals that bisect each other at right angles, but does not necessarily have four equal sides?
Kite
An exterior angle of a triangle is 125 degrees. One of the remote interior angles is 55 degrees. Find the other remote interior angle.
70 degrees
In a kite, two opposite angles are 120 degrees and 40 degrees. Find the size of the remaining two equal angles.
100 degrees each
What is the chemical symbol for Iron?
Fe
Explain why a triangle cannot have more than one obtuse angle
An obtuse angle is > 90. Two obtuse angles would sum to more than 180 degrees, which exceeds the angle sum of a triangle.
A quadrilateral has two pairs of parallel sides and diagonals that bisect each other. Which specific quadrilateral?
Parallelogram
The angles of a triangle are expressed as
(2x + 10),
(x + 25), and
(x + 45).
Find x.
x = 25
The angles of a quadrilateral are expressed as
x,
x,
x + 1, and
x - 1
Find x.
x = 90
What is the only internationally recognised sovereign country that starts with the letter Y in English?
Yemen
An isosceles triangle has one base angle measuring 65 degrees. Find the other two angles.
65 degrees and 50 degrees.
True or False: Every rhombus is a square, but not every square is a rhombus. Explain.
False.
A rhombus can not be a square, as a square has internal right angles (which a rhombus can have but does not necessarily)
Every Square is a rhombus as it has two pairs of parallel sides, opposite sides equal, opposite angles equal.
The angles of a triangle are expressed as
(2x + 12),
(3x - 25), and
(x + 13).
Find x.
x = 30
The angles of a quadrilateral are expressed as
x,
x + 16,
2x - 10, and
x + 54
Find x.
x = 60
Which modern Countries' ancient civilisation invented paper, blast furnaces (to melt down metal) and the compass?
China