Math Semester 1 Final Flashcards
Pythagorean Theorem
a^2+b^2=c^2
Midpoint
Point that divides the segment into two congruent segments
Segment Bisector
Anything that intersects the segment at its midpoint
Midpoint Formula
M = (x1+x2/2, y1+y2/2)
Distance formula
D = square root of (x1-x2)^2 + (y2-y1)^2
Linear Pair
A pair of supplementary adjacent angles.
Vertical Angles
Angles opposite each other. They are congruent.
Conditional Statement
If hypothesis (p), then conclusion (q)
Converse Statement
If conclusion (q), then hypothesis (p)
Inverse Statement
If not hypothesis (p), then not conclusion (q)
Contrapositive Statement
If not conclusion (q), then not hypothesis (p).
Bioconditional Statement
Hypothesis if and only if conclusion
Coincident Lines
Two or more lines that are coplanar and share every point
Skew Lines
Do not intersect and are not coplanar
Slope-Intercept Form
y = mx + b
Standard Form
Ax + By = C
Point-Slope Form
y - y1 = m(x- x1)
What is the shortest distance from a point to a line.
Perpendicular segment
If (a,b) is reflected in the x-axis then its image is the point….
(a, -b)
If (a,b) is reflected in the y-axis then its image is the point….
(-a, b)
If (a,b) is reflected in the line y = x then its image is the point….
(b, a)
If (a,b) is reflected in the line y = -x then its image is the point….
(-b, -a)
Rotation rule for 90° CCW, 270° CW
(-b, a)
Rotation rule for 180° CCW + CW
(-a, -b)
