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29 Cards in this Set
- Front
- Back
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Definition of Perpendicular Lines
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Two lines that meet to form a right angle or a 90 degree angle
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Definition of Parallel lines
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Coplanar Lines that never intersect
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Definition of Skew lines
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Non - coplanar lines
(means they never intersect) |
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If parallel lines are cut by a transversal, which pairs of angles are congruent?
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Alternate interior angles
Alternate exterior angles Corresponding angles |
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If parallel lines are cut by a transversal, which pairs of angles are supplementary?
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Same-Side Interior angles
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What can be concluded if you are given perpendicular lines?
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1. Right angles (def)
2. 90 degree angles (def) 3. congruent adjacent angles 4. maybe complementary angles |
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List the ways to prove lines are parallel by using angles....
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1. If corr <s R =
2. If alternate interior <s R = 3. If alternate exterior <s R = 4. If same-side int <s R supp |
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List ways to prove lines parallel other than using angles.......
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1. In a plane if two lines R perpendicular to the same line
2. 2 lines parallel to a 3rd line |
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Perpendicular Transversal Theorem states.....
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If a transversal is perpendicular to one of two parallel lines, then it is perpendicular to the other one also.
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List the ways to prove angles are supplementary......
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1. If lines R ||, s-s int <s R supp.
2. Def supp <s 3. Linear Pair Angles R supp. |
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List the ways to prove angles are complementary......
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1. Def comp <s
2. If exterior sides of 2 adjacent angles are perpendicular , then the angles are complementary. |
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Definition of
MIDPOINT of a segment |
A point on a segment that splits the segment into two equal segments.
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Definition of
ANGLE BISECTOR |
A ray that splits an angle into two equal angles
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Definition of
SEGMENT BISECTOR |
A line that passes through the midpoint of a segment
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Ways to prove angles are equal.....
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1. Vertical angles are equal.
2. Definition of angle bisector 3. If lines R ||, alt int <s R =. 4. If lines R ||, alt ext <s R = 5. If lines R ||, corr <s R =. |
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Ways to prove perpendicular lines....
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1. Def perpendicular lines
2. 2 lines forming = adj <s R perp 3. Perpendicular Transversal Th |
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Congruent Supplements Theorem states.....
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2 angles supplementary to the same angle are equal.
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Congruent Complements Theorem states.....
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2 angles complementary to the same angle are equal.
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Transitive property states.....
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If a = b and b = c, then a = c.
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The slopes of perpendicular lines are
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opposite reciprocals of each other
Ex slopes -2 and 1/2 |
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The slopes of parallel lines are....
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the same
Ex slopes are both -2/3 |
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IN the equation
y = mx + b, the b represents what? |
the y - intercept of the line
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IN the equation
y = mx + b, the m represents what? |
The slope of the line
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What is a
Linear Equation? |
An equation that graphs as a line.
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WHat is slope?
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SLope = rise/run
(the change in y / the change in x |
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An ordered pair is always written as
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(x,y)
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To graph a linear equation you must ....
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#1. Place a dot on the y-intercept
#2. Use the slope to find another point on the line #3. Draw a line through the points |
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Justify the statement:
If A is midpt of BC, then BA = CA |
Def midpoint of a segment
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What are the parts of an angle?
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THe two sides which are rays
& the vertex point |
