Lines & Angles
Two angles whose measures add up to exactly 900
What are complementary angles?
The theorem stated by the formula a2 +b2= c2.
What is the Pythagorean Theorem?
This is the sum of the interior angles of any Euclidean triangle.
What is 1800?
If a line has a slope of 3, any line perpendicular to it must have this slope.
What is -1/3 (or the negative reciprocal)?
This type of logical statement reverses the hypothesis and the conclusion of a conditional statement ("If P, then Q" becomes "If Q, then P").
What is the converse?
When two parallel lines are cut by a transversal, these non-adjacent angles on opposite sides of the transversal are equal.
What are alternate interior (or alternate exterior) angles?
In a right triangle, this trigonometric ratio is defined as the length of the opposite side divided by the length of the hypotenuse.
What is sine ($\sin$)?
A line segment that touches a circle at exactly one point without entering its interior.
What is a tangent line?
This formula, derived directly from the Pythagorean Theorem, is used to find the distance between (x1, y1) and (x2, y2)
What is the Distance Formula?
SSS, SAS, and ASA are all shortcuts used to prove that two triangles achieve this status of being identical in shape and size.
What is congruence (or being congruent)?
This type of angle pair is formed by two intersecting lines, sits opposite each other, and is always congruent.
What are vertical angles?
A triangle has sides of lengths 5,12, and 13. This is the specific classification of the triangle based on its angles.
What is a right triangle?
This formula, A =TTr2 , is used to calculate this specific measurement of a circle.
What is the area?
This is the midpoint of a line segment with endpoints at (2, 4) and (8, 10)
What is (5, 7)?
This classic method of geometric proof features statements on the left side and their corresponding justifications on the right side.
What is a two-column proof?
If Angle A and Angle B are supplementary, and Angle A measures 1150, this is the measure of Angle B.
What is 650?
In a 300-600-900 special right triangle, if the shorter leg is 4 units long, this is the exact length of the hypotenuse.
What is 8 units? (The hypotenuse is always twice the short leg).
This is the total sum of the interior angles of a regular hexagon.
What is 7200?
In the standard equation of a circle, (x - h)2 + (y - k)2 = r2, the coordinates (h, k) represent this.
What is the center of the circle?
This geometric property states that any geometric figure (like a line segment, an angle, or a triangle) is always congruent or equal to itself (AB = AB).
What is the Reflexive Property?
This geometric postulate states that through a given point not on a line, there is exactly one line parallel to the given line.
What is the Parallel Postulate (or Euclid's Fifth Postulate)?
This theorem states that the sum of the lengths of any two sides of a triangle must be strictly greater than the length of the third side.
What is the Triangle Inequality Theorem?
An angle whose vertex lies on a circle and whose sides contain chords of the circle is called this, and its measure is exactly half of its intercepted arc.
What is an inscribed angle?
The equation y - y1 = m(x - x1) represents a linear equation written in this specific form.
What is point-slope form?
A boat has a sail with one pair of perpendicular lines, and two sides the same length. What kind of triangle is it?
What is Right, isosceles