Unit 3: Parallel and Perpendicular

What are Parallel Lines?

Lines in the same plane that have the same slope

What are Perpendicular Lines?

Lines that are in the same plane that have the opposite reciprocal

What are Oblique Lines?

Not parallel, nor perpendicular, just intersecting

What is the Linear Pair Theorem?

Add up to 180 degrees all of the time ( _+ _)

What is a Transversal?

A line which intersects at least 2 others

What are Corresponding Angles?

“Skips a line”

What are alternate interior angles?

Opp. Sides inside the lines

Which are Alternate Interior Angles?

Opp. Intersections inside the lines

What are Same-side Interior Angles?

Inside the lines and on the same sjde

What are Same-side Exterior Angles?

Lines that are outside the lines on the same side

What are Vertical Angles?

Always congruent

What are Linear Pairs?

Always supp.

What ate Alt. Ext Angles?

Always congruent only when lines parallel

What are Alt. Int. Angles?

Always congruent only when lines parallel

What are same-side int. Angles?

Always supp only when lines parallel

What are Same-side Ext Angles

Always supp only when lines parallel

What are Corresponding Angles?

If congruent, then parallel

What are Alt. Int Angles?

If congruent, then parallel

What are Alt. Ext angles?

If congruent, then parallel

What are Same-Side Int. Angles?

If Supp. Then parallel

What are Same-Side Ext Angles?

If Supp. Then parallel

What is Perpendicular to Perpendicular means Parallel?

If a perpendicular to b, and b perpendicular to c. Then a//c

What is a Relation?

A connection between an input and an output

What is a function?

A predictable relation

How can relations be expressed?

Mapping diagram, ordered pairs, table/graph, and equation (for functions)

What is the domain of a relation?

The set of all inputs (x-axis)

What is the range of a relation?

The set of all outputs (y-axis)

How can a relation be called a function?

If each input has exactly one output

What is a function rule?

“The way” inputs produce is outputs

What is a function notation?

Name of the function, input, output, the rule

How do you “Evaluate” a function?

Apply the rule to same inputs

What does the Rise mean?

Vertical Change

What does the Run mean?

Horizontal Change

What is Slope?

The comparison (as a fraction) between rkse and run ( i.e rise/run)

How many types of slopes are there?

4: Negative, Positive, Zero, and Undefined

What is Point-Slope Form?

A way to write the equation of a line which uses slope and one point on the line (i.e y-(y-coord.) = m(x-(x coord.))

What is slope?

M= y-y/ x-x

What is Slope-Intercept form?

A way to write an equation of a line using slope and y-intercept (i.e y=mx+b)

What is Y-intercept?

The point where a function’s graph crosses the y-axis. The value of F at x=0 (f(0) =b). I.e (0,b)

What are Parallel Lines Theorem?

Lines with the same slope. Algebra: same ope different pts. The same

What is the Perpendicular Lines Theorem?

Lines w/opposite reciprocal slopes. Algebra: opp reciprocal slopes, pts. Don’t matter. Perfect opposites

What is the solution(s) to a system of equations?

The point(s) where given lines intersect

The solution to a system of equations is written as what?

An ordered pair

How many times do parallel lines intersect?

Never bc no solutions

How many times does the same line intersect with itself?

All of the time bc infinitely many solutions.

What are Coinciding Lines?

Lines which the same slope and pts. The exact same line

What can Intersecting Lines also be refered to?

Oblique lines