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# Howard Geometry 5

### Chapter 5 Geometry Vocabulary

Hypotenuse The side opposite the right angle in a right triangle
Legs of Right Triangle The two sides of a right triangle that make up the right angle
Equidistant When a point is the same distance from one line as it is from another line
Midpoint The point on a segment that divides the segment into two equal segments
Proof A convincing argument that shows why a statement is true
Perpendicular Bisector A segment, ray, or line that is forms 90 degree angles to a segment at its midpoint
Angle Bisector The line, ray, or segment that cuts an angle into two equal halves.
Vertex A point that joins two sides of a triangle
Parallel When these lines are cut by a transversal, then alternate interior angles are congruent.
Congruent Figures Figures where all pairs of corresponding angles and corresponding sides are congruent.
Perpendicular Two lines that intersect to form a right angle.
Distance from a Point to a Line Measured by the length of the perpendicular segment from the point to the line.
Corresponding Parts The "matching" sides or angles
Reflexive Property BA = BA
Symmetric Property BA = AB
Segment Bisector A segment, ray, line, or plane that intersects a segment at its midpoint.
Vertical Angles Two non-adjacent angles created by intersecting lines that share the same vertex; these angles are congruent.
Postulate 12 SSS When 3 sides of a triangle are congruent to 3 sides of another triangle, the triangles are congruent.
Postulate 13 SAS When 2 sides and an included angle of one triangle are congruent to the same on another, then the triangles are congruent.
Postulate 14 ASA When 2 angles and an included side of one triangle are congruent to the same on another, then the triangles are congruent.
Theorem 5.1 AAS When 2 angles and an a non-included side of one triangle are congruent to the same on another, then the triangles are congruent.
Theorem 5.2 HL When the hypotenuse and a leg of a right triangle are congruent to the same on another right triangle, then the triangles are congruent.
Theorem 5.3 Angle Bisector Theorem If a point is on the bisector of an angle, then it is equidistant from the two sides of the angle.
Theorem 5.4 Perpendicular Bisector Theorem If a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment.
Created by: HowardGeometry
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