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Study these flashcards

- Arizona
- Arizona State University - Tempe
- Mathematics
- Mathematics 310
- Roh
- Mat 310 Defintition 1.1-3.5

Saul H.

• 37

cards
Parallel Postulate

Given a line L in a plane and a point P which is in the plane but is not on the line L, there is exactly one line in the plane passing through P which is parallel to L.

Rigid Motion

for each point P of the plane, F assigns a point F(P) to P satisfying the distance preserving property, that is, for any two points A and B, the distance between A and B is equal to the distance between F(A) and F(B)

- |AB| = |F(A)F(B)|.

ASA

Given two triangles △ABC and △A0B0C0 so that |AB| = |A0B0|, |∠A| = |∠A0|and|∠B| = |∠B0|, △ABC ∼ = △A0B0C0

SAS

Given two triangles ABC and A0B0C0 so that |∠A| = |∠A0|, |AB| = |A0B0|, and |AC| = |A0C0|, then △ABC ∼ = △A0B0C0.

SSS

Two triangles with three pairs of equal sides are congruent.

HL

If two right triangles have equal hypotenuses and one pair of equal legs, then they are congruent.

Assumptions about Transformations

Congruence

Congruent Triangles

Transformation

Angle

Lines and Segments

Degree

Adjacent Angles

Perpendicular lines

Perpendicular Bisector

Angle Bisector

Midpoint

Convex set

Segment

Ray

Rotation

Reﬂection

Quadrilateral

Rectangle

Parallelogram

Equal Segments

Equal Angles

Vector

Equal Transformations

Equal Vectors

equal or congruent angles

Identity

Inverse Transformation

Angles and Sides of Isosceles Triangles

Median of a triangle

Altitude of a Triangle

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