Download Geometry Unit 3 Learning Targets

Course: Geometry
Chapter 3: Parallel and Perpendicular Lines
Big Idea: Use and prove properties of parallel lines and the angles formed by parallel lines and transversals. Represent lines in the coordinate plane.
Learning Target: I CAN
3-1a … Identify parallel,
perpendicular and skew lines.
Example
Give one example of each from the figure.
3-1b. … Identify angles
formed by two lines and a
transversal.
1.
2.
3.
4.
5.
6.
3-2. … Prove and use
theorems about the angles
formed by parallel lines and a
transversal.
Find each angle measure
1.
2.
3.
4.
3-3. … Use the angles formed
by a transversal to prove two
lines are parallel.
a transversal
parallel lines
corresponding angles
alternate interior angles
alternate exterior angles
same-side interior angles
m 1
m 3
m 4
m 5
Use the figure for 1-4. Tell whether the lines are parallel and state your reasoning.
1. 7  6
3. 1  5
2. m2 = (5x + 3)o, m3 = (8x – 5)o, x =14
4. m6 = (x + 10)o, m2 = (x + 15)o
Starting
Getting
There
Got It
Learning Target: I CAN
Example
3-4. … Prove and apply
theorems about perpendicular
lines.
Name the shortest segment form the point to the line and write an inequality for x.
3-5a. … Find the slope of a
line.
Use the slope formula to find the slope of each line.
L M with L at (0, 2) and M at (2,3)
2. J K with J at (3,3) and K at (4,2)
1.
3-5b. …use slopes to identify
parallel and perpendicular
lines.
Tell whether each pair of lines is parallel, perpendicular or neither.
3-6a…. Graph lines and write
their equations in slope
intercept form.
Write the equation of each line in the given form.
1. the horizontal line through (3,7) in point-slope form.
3-6b…. Classify lines as
parallel, intersecting or
coinciding.
E F with slope = 3 and G H with slope = -1.
2
3
2. P Q with slope =
and R S with slope = 
3
2
3. I J with endpoints I(1,0) and J(5,3) and K L with endpoints K(6, -1) and L(0,2)
4. P Q with endpoints P(5, 1) and Q(-1, -1) and R S with endpoints R(2,1) and S(3, -2)
1.
8
through (1, -5) in point-slope form.
5
 1 7
3. the line though   ,  and (2,14) in slope-intercept form.
 2 2
2.
the line with slope = 
4.
the line with x-intercept equal -2 and y-intercept equal -1 in slope-intercept form.
Determine whether the lines are parallel, intersect or coincide
1
(x + 5)
5
1.
x – 5y = 0, y + 1 =
2.
2y + 2 = x, ½ x = -1 + y
3.
y = 4(x – 3),
3
1
+y=  x
4
4
Starting
Getting
There
Got It