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20 Cards in this Set
- Front
- Back
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Welcome!
*Click Anywhere to begin!* |
Please! Lay all your references in invisible territory. Thank You!
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Construction 1
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To bisect a line segment.
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Construction 2
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To bisect an angle.
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Construction 3
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To copy a line segment.
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Construction 4
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To copy an angle.
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Construction 5
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To copy a triangle.
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The ASA Postulate
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If two angles and the included side of one triangle are equal to two angles and the included side of another triangle, the triangles are congruent.
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The SAS Postulate
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If two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent.
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Corollary to the definition of congruent triangles
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Two triangles congruent to a third triangle are congruent to each other.
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Theorem 9
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If two sides of a triangle are equal, the angles opposite them are equal.
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Corollary to theorem 9
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An equilateral triangle is equiangular.
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Theorem 10
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If two angles of a triangle are equal, the sides opposite them are equal.
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Corollary to theorem 10
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An equiangular triangle is equilateral.
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Theorem 11: The SSS Theorem
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If three sides of one triangle are equal to the three sides of another triangle, the triangles are congruent.
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Congruent Polygons
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Two polygons have the same shape and size.
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Congruent Triangles
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Two triangles are congruent iff ( if and only if) there is a correspondence between their vertices such that all of their corresponding sides and angles are equal.
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Triangles: Scalene, isosceles, equilateral
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A triangle is:
Scalene iff it has no equal sides. Isosceles iff it has a least two equal sides. Equilateral iff all of its sides are equal. |
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Triangles: Obtuse, right, acute
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A triangle is:
Obtuse iff it has an obtuse angle. Right iff it has a right angle. Acute iff all of its angles are acute. |
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Polygon
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A polygon is a connected set of at least three line segments in the same plane such that each segment intersects exactly two others, one at each endpoint.
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The following could not be included In despite of definition: Distance formula (Page 134), Included and opposite sides and angles (Page 147), Quadrants (Page 133).
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Now was that so hard? You should absorb this information!
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