Quarter 1
What is a statement (in logic)?
A statement is a sentence that is either true or false.
What are vertical angles?
Vertical angles are opposite angles formed when two lines cross, and they are equal.
What does SOHCAHTOA stand for?
SOH → sin = opposite / hypotenuse
CAH → cos = adjacent / hypotenuse
TOA → tan = opposite / adjacent
What is the center of a circle?
The center is the point that is the same distance from all points on the circle.
What is a contradiction?
A contradiction is when two statements cannot both be true at the same time.
What does “if P, then Q” mean?
It means that whenever P is true, Q must also be true.
What are complementary angles?
Complementary angles are two angles that add up to 90°.
What is the sine of an angle in a right triangle?
Sine is the ratio of the opposite side to the hypotenuse.
What is the radius of a circle?
The radius is the distance from the center to any point on the circle.
What are adjacent angles?
Adjacent angles are angles that share a common side and vertex and are next to each other.
What is the negation of a statement?
The negation is the opposite truth value of the statement (if true -> false, if false -> true).
What are supplementary angles?
Supplementary angles are two angles that add up to 180°.
What is the cosine of an angle in a right triangle?
Cosine is the ratio of the adjacent side to the hypotenuse.
What is the diameter of a circle?
The diameter is a line that goes across the circle through the center, and it is twice the radius.
What is the value of cos(0°)?
cos(0°) = 1.
What is a proof?
A proof is a logical argument that shows a statement is true.
What are corresponding angles?
Corresponding angles are angles in the same position when two parallel lines are cut by a transversal, and they are equal.
What is the tangent of an angle in a right triangle?
Tangent is the ratio of the opposite side to the adjacent side.
What is the circumference of a circle?
The circumference is the distance around the circle.
What is an arc?
An arc is a part of the circle’s edge.
What is the converse of “If P, then Q”?
The converse is “If Q, then P.”
What are alternate interior angles?
Alternate interior angles are inside the two parallel lines on opposite sides of the transversal, and they are equal.
What is the value of sin(90°)?
sin(90°) = 1.
What is the formula for the area of a circle?
The formula is A=(pi)r2
What is the sum of the interior angles of a triangle?
The sum is always 180°.