Chapter 5 Flashcards
Midsegment Theorem
The segment connecting the midpoints of two sides of a triangle (Midsegment) is parallel to and half as long as the third side.
Midsegments
Segments that connect midpoints of 2 sides of a triangle.
Perpendicular Bisector Theorem
If a point is on the perpendicular bisector, then it’s equidistant from the endpoints of the segment.
Perpendicular Bisector
A segment perpendicular to the midpoint of another segment
Converse of Perpendicular Bisector Theorem
If a point is equidistant from the endpoints of a segment, the it is on the perpendicular bisector of the segment.
Angle Bisector
A ray that divides an angle into 2 congruent adjacent angles.
Distant from point to line
The length of the perpendicular segment from a point to a line (shortest distance from point to line need the right angle symbol)
Angle Bisector Theorem
If a pint is on the angle bisector of an angle, then it’s equidistant from the 2 sides of the angle.
Converse Of Angle Bisector Theorem
If a point inside an angle is equidistant from the two sides of the angle, then it’s on the angle bisector of the angle.
Altitude
A line segment that connects a vertex of a triangle with the opposite side and is perpendicular to that side. (or a line contains the opposite side)
Median
A line segment that connects a vertex of a triangle with a midpoint of the opposite side (3 per triangle)
Is the perpendicular bisector a median or altitude in an isosceles triangle?
It has both
Theorems comparing the side and angle side
If a side of a triangle is longer than another then the angle opposite the longer side is bigger
If an angle of a triangle is bigger than another, then the side opposite the bigger angle is longer
Triangle inequality Theorem
Difference of 2 sides < 3rd side of triangle < sum of the two sides
