Geometry - Unit 2 Quiz (11/05) Flashcards
segment bisector
A line, ray, or segment that passes through the midpoint of another segment. (Lesson 1.7)
angle bisector
A line, segment, or ray that divides an angle into two congruent angles (two angles with the same measure).(Lesson 1.7)
perpendicular
Any two lines, segments, or rays that intersect to form strictly or right angles. (Lesson 1.7)
perpendicular bisector
A line, ray, or segment that passes through the midpoint of another segment and makes only right angles with it.
median of a triangle
A line segment drawn from the vertex of a triangle to the midpoint of the opposite side. (Lesson 2.1)
altitude of a triangle
A line segment drawn from the vertex of a triangle such that it is perpendicular to the opposite side. (Lesson 2.1)
Addition Property of Equality
“If a = b, then a+c = b+c.” - if we add or subtract the same number to both sides of an equation, the sides remain equal. (Lesson 2.2)
Reflexive Property of Equality
“a = a, 3 =3” - a number is always equal to itself. (Lesson 2.2) (*Think about a REFLECTION – like looking into a mirror!)
Substitution axiom
Quantities equal to each other may be substituted (replaced) for each other. (Lesson 2.2)
Addition axiom
If equals are added to equals, the sum is equal. (Lesson 2.2)
Subtraction axiom
If equals are subtracted from equals, the difference is equal. (Lesson 2.2)
SSS Theorem
If three sides of one triangle are the same length as three sides of another triangle, then these two triangles are congruent (identical in size and shape). (Lesson 2.3)
ASA Theorem
Two triangles are congruent if a side and the adjacent angles of one are equal (or congruent), respectively, to a side and the adjacent angles of the other. (Lesson 2.3)
SAS Theorem
Two triangles are congruent if two sides and the included angle of one are equal (or congruent) to two sides and the included angle of the other. (Lesson 2.3)
CPCTC
Congruent Parts of Congruent Triangles are Congruent - This is the simple idea that if two triangles are proven congruent, then corresponding parts (sides and angles) of those triangles must also be congruent (or equal in measure). (Lesson 2.4)