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37 Cards in this Set
- Front
- Back
- 3rd side (hint)
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Parallel Lines |
two lines that are coplanar and do not intersect. |
Notation: // |
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Skew Lines |
lines that do not intersect are not coplanar. |
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Parallel Planes |
two planes that do not intersect. |
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TRANSVERSAL |
a line that intersects two or more coplanar lines at different points. |
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CORRESPONDING ANGLES |
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ALTERNATE EXTERIOR ANGLES |
lie outside the two lines on opposite sides of the transversal. |
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ALTERNATE INTERIOR ANGLES |
lie between the two lines on opposite sides of the transversal. |
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SAME-SIDE INTERIOR ANGLES |
lie between the two lines on the same side of the transversal. |
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Postulate 3-1 |
If a transversal intersects two parallel lines, then same-side interior angles are supplementary |
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Theorem 3-1 |
If a transversal intersects two parallel lines, then alternate interior angles are congruent. |
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Theorem 3-2 |
If a transversal intersects two parallel lines, then corresponding angles are congruent. |
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Theorem 3-3 |
If a transversal intersects two parallel lines, then alternate exterior angles are congruent. |
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Postulate 3-2: Converse of the Corresponding Angles Postulate |
If two lines and a transversal form corresponding angles that are congruent,then the lines are parallel. |
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Theorem 3.4: Converse of the Alternate Interior Angles Theorem |
If two lines and a transversal form alternate interior angles that are congruent, then the lines are parallel. |
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Theorem 3.5: Converse of the Same-Side Interior Angles Theorem |
If two lines and a transversal form same-side interior angles that are supplementary, then the lines are parallel. |
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Theorem 3.6: Converse of the Alternate Exterior Angles Theorem |
If two lines and a transversal form alternate exterior angles that are congruent, then the lines are parallel. |
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Theorem 3.8 |
If two lines are parallel to the same line, then they are parallel to each other. |
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Theorem 3.9 |
In a plane, if two lines are perpendicular to the same line, then they are parallel to each other. |
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Theorem 3.10 – Perpendicular Transversal Theorem |
In a plane, if a line is perpendicular to one of two parallel lines, then it is also perpendicular to the other. |
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Postulate 3-2: PARALLEL POSTULATE |
If there is a line, l, and a point, P, not on the line, then there is exactly one line through the point parallel to the given line. |
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Theorem 3-11: Triangle Sum Theorem |
The sum of the measures of the interior angles of a triangle is 180°. m<A + m<B + m<C = 180° |
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Theorem 3-12: Exterior Angle Theorem |
The measure of an exterior angle of a triangle equals the sum of the measures of the two remote interior angles. m<1 = m<A + m<B |
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Slope Formula |
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Slope-Intercept Formula |
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Point Slope Formula |
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Standard Form |
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supplementary |
If a transversal intersects two parallel lines, then same-side interior angles are ___________ |
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congruent |
If a transversal intersects two parallel lines, then alternate interior angles are __________. |
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congruent |
If a transversal intersects two parallel lines, then corresponding angles are ______. |
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congruent |
If a transversal intersects two parallel lines, then alternate exterior angles are ________. |
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parallel |
If two lines and a transversal form corresponding angles that are congruent, then the lines are _________. |
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parallel |
If two lines and a transversal form alternate interior angles that are congruent, then the lines are _________. |
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parallel |
If two lines and a transversal form same-side interior angles that are supplementary, then the lines are ___________. |
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parallel |
If two lines and a transversal form alternate exterior angles that are congruent, then the lines are ___________. |
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parallel |
If two lines are parallel to the same line, then they are _______ to each other. |
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parallel |
In a plane, if two lines are perpendicular to the same line, then they are _________ to each other. |
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perpendicular |
In a plane, if a line is perpendicular to one of two parallel lines, then it is also _____________ to the other. |
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