Monday 12.8 and Thursday 12.11 Geometry

x = 10

x = 15

y = 7

y = 12

Corresponding angles are congruent

Corresponding sides are proportional

All sides are equal

All angles are equal

Triangle Proportionality Theorem

Pythagorean Theorem

Triangle Sum Theorem

Congruence Theorem

The line divides two sides proportionally.

The line bisects the triangle.

The line is perpendicular to the third side.

The line passes through the triangle's centroid.

All corresponding sides must be proportional.

All corresponding angles must be congruent.

The triangles must be right triangles.

The triangles must have proportional sides but not necessarily congruent angles.

An included angle is congruent.

All angles are congruent.

The triangles are equilateral.

The triangles share a common vertex.

All three pairs of corresponding sides are proportional.

Two pairs of sides and the included angle are proportional.

Two pairs of angles are congruent.

One pair of sides and two pairs of angles are proportional.

AA Similarity

SAS Similarity

SSS Similarity

Corresponding Angles

AA Similarity

SAS Similarity

SSS Similarity

Corresponding angles are ≅

12.90

11.56

12.86

0.93

DE = 12, CE = 10

DE = 21, CE = 27

DE = 28, CE = 32

DE = 27, CE = 30