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Chap 4 Geo
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24
Mathematics
9th Grade
12/08/2009

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Term
SSS postulate
Definition
If 3 sides of 1 triangle are congruent to 3 sides of another then the triangles are congruent
Term
SAS postulate
Definition
If 2 sides and the included angle of one triangle are congruent to two sides and the included (inbetween sides) angle of another triangle then the triangles are congruent
Term
ASA postulate
Definition
If 2 angles and the included side(in between angles) are congruent to two angles and the included side of another triangle then the triangles are congruent
Term
def of a line perpendicular to a plane
Definition
a line and a plane are perpendicular if and only if they insersect and the line is perpendicular to all lines in the plane that pass through the pont of intersection
Term
Way to prove 2 segments or 2 angles are congruent
Definition
1. Identify two triangles in which the 2 segments or angles are corresponding parts
2. Prove that the triangles are congruent
3. State that the 2 parts are congruent using the reason corr. parts of cong triangles are cong.
Term
congruent sides in isosceles triangles are called
Definition
legs
Term
third side in isosceles triangle is called
Definition
base
Term
Angles that touch the base are called
Definition
base angles
Term
angle produced by legs is called
Definition
vertex angle
Term
Isosceles triangle Theorem
Definition
If 2 sides of a triangle are cong., then the angles opposite those sides are cong.
Term
Corollary 1
Definition
An equilateral triangle is also equiangular
Term
Corollary 2
Definition
An equilateral triangle has 3 60degree angles
Term
Corollary 3
Definition
The bisector of the vertex angle of an isosceles triangle is perpendicular to the base at its midpoint
Term
theorem that proves sides congruent
Definition
f 2 angles of a triangle are cong. then the sides opposite those angles are congruent.
Term
Corollary extra
Definition
An equiangular triangle is also equilateral
Term
AAS theorem
Definition
If 2 angles and a non-included side of one triangle are cong. to the corresp. parts of another triangle, then the triangles are congruent.
Term
HL Theorem
Definition
f the hypotenuse and the leg of one right triangle are cong. to the corresp. parts of another triangle, then the triangles are cong.
Term
Ways to prove 2 triangles cong. (5)
Definition
All triangles: SSS, SAS. ASA, AAS
Right Triangles: HL
Term
Theorem
Definition
If a point on the perpendicular bisector of a segment, then the point is equidistant from the endpoints of the segment.
Term
Theorem pg 153
Definition
If a point is equidistant from the endpoints of a segment then the point lies on the perpendicular bisector of the segment
Term
Theorem pg 154
Definition
If a point lies on the bisector of an angle, then the point is equidistant from the sides of the angle
Term
Theorem 2 pg. 154
Definition
If a point is equidistant from the sides of an angle, then the point lies on the bisector of the angle.
Term
right tri theorem
Definition
Acute angles of a rt tri are comp.
Term
Comp Angle Theorem
Definition
If 2 angles are comp of the same of the same angle, then the 2 angles are cong.
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