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Geometry Ch 3 Fitch FMS
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Terms in this set (22)
3-1 Parallel Lines
Coplanar lines that do not intersect. Slopes are equal. Symbol is ‖.
3-1 Skew Lines
Noncoplanar; they are not parallel and do not intersect.
3-1 Parallel Planes
Planes that do not intersect. (By the way, planes can NOT be skew -- only lines can be skew.)
3-1 Transversal
A line that intersects 2 or more coplanar lines.
3-1 Same-Side (or Consecutive) Interior Angles
Interior angles that lie on the same side of the transversal.
3-1 Alternate Interior Angles
Nonadjacent (different vertex) interior angles that lie on opposite sides of the transversal.
3-1 Same-Side (or Consecutive) Exterior Angles
Exterior angles that lie on the same side of the transversal.
3-1 Alternate Exterior Angles
Nonadjacent (different vertex) exterior angles that lie on opposite sides of the transversal.
3-1 Corresponding Angles
In matching relative locations at each intersection. One is interior, one is exterior, and both lie on the same side of the transversal.
3-3 If 2 parallel lines are cut by a transversal, then
corresponding angles are congruent, alternate interior angles are congruent, alternate exterior angles are congruent, same-side exterior angles are supplementary, and same-side interior angles are supplementary
3-5 Auxiliary Line
A line that you add to a diagram to help explain relationships in proofs
3-5 Triangle Angle-Sum Theorem
The sum of the angles in a triangle is 180 degrees
3-5 Exterior Angle of Polygon
Angle formed by a side and an extension of an adjacent side.
3-5 Remote Interior Angles
For each exterior angle of a triangle, the 2 nonadjacent interior angles.
3-5 The measure of an exterior angle of a triangle
equals the sum of the measures of the 2 remote interior angles
3-7 Slope
m; rYse over run; ∆y / ∆x; (y2 - y1) / (x2 - x1)
3-7 Slope-Intercept Form
y = mx + b; Slope = m and y-intercept = (0, b)
3-7 Point-Slope Form
y - y1 = m(x - x1); Slope m through point (x1, y1)
3-7 Standard Form
Ax + By = C
3-8 Slope of Perpendicular Lines
Coplanar lines that intersect at right angles. Slopes are opposite reciprocals. Symbol is ⊥.
3-8 Opposite Reciprocal
Opposite sign and inverse of the fraction. The product of a slope and its opposite reciprocal is -1.
3-8 How to prove lines are parallel
corresponding angles are congruent, alternate interior angles are congruent, alternate exterior angles are congruent, same-side interior angles are supplementary, same-side exterior angles are supplementary, both lines are perpendicular to a third line, or both lines are parallel to a third line, slopes are equal
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