Logic & Conditionals
What kind of reasoning goes from specific examples to a general conclusion?
Inductive reasoning
Name the similarity criterion that uses two pairs of congruent angles.
AA Similarity
Name the congruence postulate that uses three pairs of congruent sides.
SSS Congruence
Write the slope-intercept form of a linear equation.
y = mx + b
What is a central angle?
An angle whose vertex is at the center of the circle.
What is the name of the famous ancient book of geometry written by Euclid?
The Elements
What kind of reasoning goes from a general rule to a specific case?
Deductive reasoning
In similar figures, corresponding sides are ________.
Proportional
Name the congruence postulate that uses two sides and the included angle.
SAS Congruence
Write the point-slope form of a linear equation.
y - y_1 = m(x - x_1)
What is an inscribed angle?
An angle whose vertex is on the circle and whose sides are chords.
In logic, a statement that is always true is called a ________.
Tautology
If the original statement is “If P, then Q,” what is the converse?
If Q, then P
State the Angle Bisector Theorem.
If a ray bisects an angle of a triangle, then it divides the opposite side into segments proportional to the adjacent sides.
Name the congruence postulate that uses two angles and the included side.
ASA Congruence
What is the standard form of a linear equation?
Ax + By = C
What is the relationship between a tangent and the radius drawn to the point of contact?
They are perpendicular.
The word “theorem” comes from a Greek word meaning what?
“To look at” or “to consider”
If the original statement is “If P, then Q,” what is the inverse?
If not P, then not Q
What must be true about the corresponding angles of similar polygons?
They are congruent.
Name the congruence theorem that uses two angles and a non-included side.
AAS Congruence
What does it mean to rationalize a denominator?
Rewrite a fraction so the denominator contains no radicals.
The measure of an inscribed angle is ________ the measure of its intercepted arc.
Half
What do mathematicians call a statement that is assumed to be true without proof?
A postulate (or axiom)
If the original statement is “If P, then Q,” what is the contrapositive? (It is always logically equivalent to the original.)
If not Q, then not P
When a line parallel to one side of a triangle intersects the other two sides, what does it create?
Proportional segments (Basic Proportionality Theorem)
Name the right-triangle congruence theorem that uses the hypotenuse and one leg.
HL (Hypotenuse-Leg) Congruence
What algebraic process turns x^2 + bx into a perfect-square trinomial?
Completing the square
A tangent segment from a point outside a circle is congruent to the other tangent segment from the same point. True or False?
True (Two Tangent Theorem)
True or False: The contrapositive of a true statement is always true.
True