Download Chapter 3 Study Guide

Chapter 3 Study Guide
By Olivia Hur, Evan Kim & Cecilia Lee
Period 1 Geometry
Chapter 3, Lesson 1
DEFINITIONS:
Parallel lines- these are coplanar lines that don't intersect
Skew lines- this is a line who isn't coplanar and doesn't intersect
Parallel planes- these are planes who do not intersect at all
Transversal- this is a line that intersects multiple coplanar lines at different points
EXAMPLES:
transversal-
parallel lines-
parallel- planesskew lines-
Chapter 3, Lesson 2
Definitions:
Corresponding Angles- Angles, one inside and one outside of the parallel lines, on the same side of
the transversal, are congruent.
Alternate Interior Angles- Angles inside the parallel lines, on opposite sides of the transversal are
congruent.
Alternate Exterior Angles-Angles outside the parallel lines, on opposite sides of the transversal are
congruent.
Consecutive Interior Angles- Angles inside the two parallel lines, on the side, are supplementary
(add up to 180 degrees).
Chapter 3, Lesson 2
Examples:
Alternate Exterior Angles-
Corresponding AnglesFind the measure of angle
3 if angle 1 is 120°.
Alternate Interior AnglesFind the measure of angle
2 and angle 3.
Find measure of angles 1
and 4.
Consecutive Interior AnglesFind the measure of
angles 2 and 4.
Chapter 3, Lesson 3
Definitions:
Examples cont.:
Slope- measure of a steepness of a line, or a
segment of a line, that are connected by two
points
Slope Formula:
Rate of change- how the y quantity is affected
by the x quantity
Parallel lines never intersect and always share the
same slope.
Examples:
Perpendicular lines have slopes when multiplied
together create the product of -1.
Chapter 3, Lesson 4
Given two points-
Definitions:
point-slope form- y2-y1=m(x2-x1)
slope-intercept form- y=mx+b
slope
y-int
Given slope and point-
zero(horizontal) line- y=b; m=0
undefined(vertical) line- x=c; no b
x-int
Examples:
Given slope and y-intercept-
Solving problems-
Chapter 3, Lesson 5
When two parallel lines are cut by a
transversal,
●
●
●
●
the corresponding angles should be
congruent.
the alternate interior/exterior angles
should also be congruent
consecutive interior angles should be
supplementary
the transversal should be a
perpendicular line
Chapter 3, Lesson 6
DEFINITIONS:
EXAMPLES:
Equidistant-this means that between
two parallel lines, the distance
between them with a perpendicular
line to the line is always the same.
Parallel lines-