Honors geometry sem 1 final study

ms keyes

Formula for rotation 90* CCW around the origin

(x, y) —> (-y , x )

Formula for rotation 180* around the origin

(x, y) —> (-x, -y)

Formula for rotation 270* CCW

(x , y) —> (y , -x)

Symmetric property

IF, a = b, then b= a

Transitive property

IF a = b and b = c and a= c

Defition of Congruence

If AB = CD then AB is congruent to CD

Segment Addition Postulate

AB + BC = AC

Defition Complementary Angles

Complentary = Sum is 90*

Definition Supplementary Angles

Supplementary = Sum is 180*

Definition of a Right Angle

A right angle = 90*

Complement Theorem

IF 2 angel form a right angel then they are complementary

Supplement Theorem

IF 2 angles form a linear pair then they are suppletmentary

Congruent Complements THeorem

If <A is complementary to <B and <C is complemtary to <B, then <A is congruent to <C

Step 1 for rotationg around other fixed points

Write vectors from center of rotation to verticies

Step 2 for rotating around other fixed points

USe the rotation rules for the vectors

Step 3 for rotating around other fixed points

Add the center of rotation to the new vector