Download Geometry: 3-1 Video Lesson Parallel line and Transversals

Geometry: 3-1 Video Lesson Parallel line and Transversals
parallel lines:
skewed lines:
parallel planes:
------------------------------------------------------------------------------------------------------------transversal:
interior angles:
exterior angles:
consecutive interior angles:
alternate interior angles:
consecutive exterior angles:
alternate exterior angles:
corresponding angles:
Classify the relationship between each pair of angles as alternate interior, alternate exterior,
corresponding, or consecutive interior angles. Identify the transversal.
a. <10 and <16
b. <4 and <12
c. <12 and <13
d. <3 and <9
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Geometry: 3- Video Lesson Angles and Parallel line
If two line are parallel and cut by a transversal then the following relationships exist:
Alternate Interior Angles
Consecutive Interior Angles
Alternate Exterior Angles
Consecutive Exterior Angles
Corresponding Angles
Find the value of the variable(s) in each figure. Explain your reasoning
1.
3.
2.
j is parallel to k. Find m<1, m<7 and m<8
m<1= (2x +5) °
m<4 = )x + 71) °
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5
2 6
3 7
4 8
j
k
Find x. (Hint: Draw an auxiliary line.)
4.
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Geometry: Video Lesson 3-3 Slopes of lines
What letter is used to represent slope?
Slope is calculated two ways:
1.
Rise
Run
2.
y 1- y 2
x 1- x 2
Find the slope of the following
1.
2.
3.
Parallel lines and their slopes:
Perpendicular lines and their slopes:
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Determine whether line MN and line RS are parallel, perpendicular, or neither. Show your work!
Graph the line that satisfies each condition.
1. passes through H(8, 5), perpendicular to line AG with A(−5, 6)and G(−1, −2)
2. passes through C(−2, 5), parallel to line LB with L(2, 1) and B(7, 4)
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Geometry: Video Lesson 3-4 Equations of lines
Slope intercept form of an equation:
Point slope form of an equation:
Write an equation in slope-intercept form of the line having the given slope and y-intercept or given
points.
1. contains (2, 0) and (0, 10)
2. x-intercept is -2, y-intercept is -1
3. Write an equation in point-slope form of the line having the slope ½ through (3, -1)
4. Write an equation in slope intercept form for a line perpendicular to the line y=1/5x + 2 through (2, 0)
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Geometry: Video Lesson 3-5
Proving lines are parallel
Given the following information, determine which lines, if any, are parallel. State the postulate or
theorem that justifies your answer.
Find x so that l || m. Identify the postulate or theorem you used.
5.
6. M<3 = 2x + 12 & m<5 4x + 18
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Geometry: Video Lesson 3-6 Perpendicular and Distance
Distance From a Point to a Line When a point is not on a line,
the distance from the point to the line is the length of the segment
that contains the point and is perpendicular to the line.
1.
2.
Distance Between Parallel Lines The distance between parallel lines is the length of a segment that has an
endpoint on each line and is perpendicular to them. Parallel lines are everywhere equidistant, which means that
all such perpendicular segments have the same length.
Find the distance between a line containing points (4, 3) and (-2, 0) and point P (3, 10)
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Find the distance between the parallel lines l and m with the equations
y = 2x + 1 and y = 2x - 4, respectively.
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