17-18 Geometry - Semester 1 by Kelly Galindo

Basic Vocabulary

kelly_galindo — 2017-09-18 17:21:37 UTC

Segment Addition Postulate

kelly_galindo — 2017-09-18 17:26:50 UTC

Midpoint Formula

kelly_galindo — 2017-09-18 17:26:57 UTC

Distance (using Right Triangles)

kelly_galindo — 2017-09-18 17:28:32 UTC

Pythagorean Theorem

DISTANCE Formula (finding the distance between 2 points)

kelly_galindo — 2017-09-18 18:09:28 UTC

AREA and PERIMETER of figures in the coordinate plane.

kelly_galindo — 2017-09-18 18:10:30 UTC

Naming, Classifying, and Measuring Angles

kelly_galindo — 2017-09-20 15:26:15 UTC

Angle Addition Postulate

kelly_galindo — 2017-09-20 15:26:38 UTC

Angle Bisector

kelly_galindo — 2017-09-20 15:26:46 UTC

Complementary and Supplementary Angles

kelly_galindo — 2017-09-20 15:26:55 UTC

Linear Pairs

kelly_galindo — 2017-09-20 15:27:20 UTC

Vertical Angles

kelly_galindo — 2017-09-20 15:27:32 UTC

PROOFS

kelly_galindo — 2017-09-21 19:23:23 UTC

Use all Geometry definitions and postulates, as well as any "algebraic" properties:

Distributive Property
Combine Like Terms
Simplify
Substitution
Addition Property of Equality
Subtraction Property of Equality
Multiplication Property of Equality
Division Property of Equality

Angle Pairs (formed with Parallel lines and transversal)

kelly_galindo — 2017-09-27 17:45:57 UTC

Transformations:

kelly_galindo — 2017-10-23 18:21:08 UTC

Translations ("slides")
Reflections ("flips")
Rotations ("turns")
Dilations ("shrinks/enlarges")*
*Dilations will not be covered until
Semester 2

TRANSLATIONS

kelly_galindo — 2017-10-23 18:24:13 UTC

figure slides left/right and or up/down

REFLECTIONS

kelly_galindo — 2017-10-23 18:25:30 UTC

figure flips over any axis or line in a coordinate plane

RULES
y-axis: (x , y) --> ( -x , y )
x-axis: (x , y) --> ( x , -y )
y = x: (x , y) --> ( y , x )
y = -x: (x , y) --> ( -y , -x )
horizontal line (such as y = 3 ): only the x stays the same
vertical line (such as x = 2 ): only the y stays the same

ROTATIONS

kelly_galindo — 2017-10-23 18:27:18 UTC

figure turns about the origin (or another specified point)

RULES for Counter-Clockwise Rotations about the origin:
90 degrees: (x , y) --> ( -y , x )
180 degrees: (x , y) --> ( -x , -y )
270 degrees: (x , y) --> ( y , -x )

DILATIONS *

kelly_galindo — 2017-10-23 18:30:28 UTC

(*Dilations will not be covered until
Semester 2)

A figures size is reduced or enlarged. The shape of the figure stays the same... the new figure (the "Image") is still proportional to the original figure (the "Pre-Image").

"k" represents the SCALE FACTOR (the value that the Pre-Image is multiplied by to get to the Image)

If k < 1, the new figure (Image) will be smaller (a REDUCTION of the PRE-Image)

If k > 1, the new figure (Image) will be larger (an ENLARGEMENTof the PRE-Image)

Triangle SUM Theorem

kelly_galindo — 2017-11-27 20:48:43 UTC

Triangle Exterior Angle Theorem

kelly_galindo — 2017-11-27 20:49:43 UTC

"Shortcuts" for proving two triangles are CONGRUENT:

kelly_galindo — 2017-11-30 18:47:43 UTC

SSS (Side-Side-Side)
SAS (Side-Angle-Side)
ASA (Angle-Side-Angle)
AAS (Angle-Angle-Side)

SSS

kelly_galindo — 2017-11-30 18:48:45 UTC

SAS

kelly_galindo — 2017-11-30 18:51:53 UTC

ASA

kelly_galindo — 2017-11-30 18:51:59 UTC

AAS

kelly_galindo — 2017-11-30 18:52:05 UTC

Triangle Congruence Proofs

kelly_galindo — 2017-12-07 20:52:24 UTC

Tessellations

kelly_galindo — 2017-12-13 17:06:42 UTC

Midpoint of a Segment

kelly_galindo — 2017-12-14 17:22:22 UTC