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Geometry > Congruent Triangles > Flashcards

Congruent Triangles Flashcards

0
Q

SAS postulate

A

If two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent

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1
Q

SSS postulate

A

If three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent

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2
Q

ASA postulate

A

If two angles and the included side of one triangle are congruent to two angles and the included triangle of another triangle, then the triangles are congruent

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3
Q

Isosceles triangle theorem

A

If two sides of a triangle are congruent, then the angles opposite those sides are congruent

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4
Q

An equilateral triangle is also…

A

Equiangular

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5
Q

An equilateral triangle has…

A

Three 60 angles

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6
Q

The bisect of the vertex angle of an isosceles triangle is…

A

Perpendicular to the base at its midpoint

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7
Q

If two angles of a triangle are congruent…

A

Then the sides opposite those angles are congruent

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8
Q

An equiangular triangle is also…

A

Equilateral

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9
Q

AAS theorem

A

If two angles and a non-included side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent

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10
Q

HL theorem

A

If the hypotenuse and a leg of one right triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent

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11
Q

If a point lies on the perpendicular bisector of segment…

A

Then the point is equidistant from the end points of the segment

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12
Q

If a point is equidistant from the endpoints of a segment…

A

Then the point lies on the perpendicular bisector of the segment

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13
Q

If a point lies on the bisector of an angle…

A

Then the point is equidistant from the sides of the angle

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14
Q

If a point is equidistant from the sides of an angle…

A

Then the point lies on the bisector of the angle

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15
Q

If one side of a triangle is longer than a second side…

A

Then the angle opposite the first side is larger than the angle opposite the second side

16
Q

If one angle of a triangle is larger than a second angle…

A

Then the side opposite the first angle is longer than the side opposite the second angle

17
Q

The perpendicular segment from a point to a line is…

A

The shortest segment from the point to the line

18
Q

The perpendicular segment for a point to a plane is…

A

The shortest segment from the point to the plane

19
Q

The sum of the lengths of any two sides of a triangle is…

A

Greater than the length of the third side

Geometry (7 decks)

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