Math: Unit 4

Front 1

Congruent triangles

Back 1

Triangles whose corresponding parts are congruent (sides and angles).

Front 2

SSS Postulate

Back 2

If three sides of one triangle are congruent to three sides of another trinalge, then the angles are congruent

Front 3

SAS Postulate

Back 3

If two sides and the included angles of one triangle are congruent to two dies and the included angles of another triangle, then the triangles are congruent.

Front 4

ASA Postulate

Back 4

If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent.

Front 5

Ways to prove two segments or two angles congruent

Back 5

1. Identify two triangles in which the two segments or angles are corresponding parts.
2. Prove that the triangles are congruent.
3. State that the two parts are congruent, using the reason Corr. parts of congruent triangles are congruent.

Front 6

Isosceles Triangle Theorem

Back 6

If two sides of a triangle are congruent, then the angles opposite tose sides are congruent

Front 7

Corollary 1

Back 7

An equilateral triangle is also equiangular

Front 8

Corollary 2

Back 8

An equilateral traingle has three 60 angles

Front 9

Corollary 3

Back 9

The bisector of the vertex angle of an isosceles triangle is perpendicular to the base at its midpoint

Front 10

Theorem 4-2

Back 10

If two angles of a triangle are congruent, then the sides opposite tose angles are congruent

Front 11

Corollary

Back 11

An equiangular triangle is also equilateral

Front 12

AAS Theorem

Back 12

If 2 angles and a non-included side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent

Front 13

HL Theorem

Back 13

If the hypoteneuse and a leg of one right traingle are congruent to corresponding parts of another right triangle, then the triangles are congruent.

Front 14

Median

Back 14

A segment from a vertex of a triangle to the midpoint of the opposite side.

Front 15

Altitude

Back 15

The perpendicular segment from a vertex of a triangle to the line that contains the opposite side.

Front 16

Perpendicular bisector

Back 16

A line that is perpendicular to a line segment at its midpoint.

Front 17

Theorem 4-6

Back 17

If a point is equidistant from the endpoints of a segment, then the point lies on the perpendicular bisector of the segment

Front 18

Theorem 4-5

Back 18

If a point lies on the perpendicular bisector of a segment, then the point is equidistant from endpoints of the segment.

Front 19

Therorem 4-7

Back 19

If a point lies on the bisector of an angle, then the point is equidistant from the sides of the angle

Front 20

Theorem 4-8

Back 20

If a point is equidistant from the sides of an angle, then the point lies onthe bisector of the angle

Front 21

Distance

Back 21

The distance from a point to a line is the length of the perpendicular segment from the point to the line