What is the difference between a line and a line segment.
A line never ends while a line segment has both a starting and an ending point.
What is a linear pair?
A pair of adjacent supplementary angles
The sum of the interior angles in any triangle always add up to ...
180 ^ o
What is a feature or property shared by both a square and a rectangle?
They both are parallelograms with four right angles.
If you draw me, then you always make a circle. All other angles are a part of me. What am I and how much do I measure?
I am a 360 ^ o angle.
a) What are parallel lines?
b) What are perpendicular lines?
a) Lines that lie in the same plane but never intersect
b) Lines that intersect and form a 90 degree angle
What is the angle measure of the third angle in a right triangle, if one of the angles is 15 degrees?
75 ^ o
How can you check whether a triangle with side lengths of 5.4 units, 7.2 units, and 9 units is a right triangle?
Verify that
5.4^2 + 7.2^2 = 81 and 9^2 = 81
satisfies the condition of the Pythagorean Theorem.
What is a quadrilateral that is both equiangular and equilateral?
A square
What is the name for a chord that passes through the center of a circle? Remember that such a chord is also the longest chord inside the circle.
The diameter.
If point Q is between points A and M, AM = 8.5 and MQ = 7.3, then AQ = ___?
1.2
What can be said about adjacent angles in a parallelogram?
They are supplementary or, equivalently, they add up to 180 ^ o .
What are the side lengths of a 45-45-90 triangle?
The legs are the same length and the hypotenuse is the leg length times the square root of 2.
Which quadrilaterals always have four 90 degree interior angles?
The square and the rectangle
What is the formula for the area of a circle?
A = pir^2
What is the slope of a line (L1) that is perpendicular to another line (L2) with slope of 5/3 ?
The slope of L1 is -3/5.
(Slopes of perpendicular lines are opposite and reciprocals of each other)
Provided that points E, F, and C are collinear and ∠BFE = 123°, find the measure of ∠CFB.
m∠CFB = 57 ^ o
What are the side lengths of a 30-60-90 triangle?
The hypotenuse is twice as long as the shortest side and the medium side is the short side times the square root of 3.
How many degrees is the total sum of all interior angles of a quadrilateral?
360 ^ o
What is a formula for the circumference of a circle?
C = 2pir
or
C = pid
Point E is between points G and T.
GE = 2x, ET = 3x-1, and GT = 14.
What is the value of x?
x = 3
∠A and ∠B are complementary.
If m∠A=(4x+6)º and m∠B=(5x+3)º, then x = ___?
x = 9
Will the lengths of 7.3 cm, 5.02 cm and 2.1 cm form a triangle? Why?
No, they will NOT form a triangle because the sum of the two shorter sides is less than the third side.
Find the value of x when the four angles of a quadrilateral are given by 2x, x-5, 3x-2, and 5x+26.
x = 31
What is the area of a circle whose circumference is 20pi inches?
A = 100pi
or
A approx 314.16
square inches.