Pre-AP Geometry Chapter 5 Vocab

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27 Terms

1

scalene triangle

triangle that has no congruent sides

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2

isosceles triangle

triangle that only has 2 congruent sides

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3

equilateral triangle

triangle that has 3 congruent sides, all sides are equal

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4

acute triangle

triangle that has 3 acute angles

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5

right triangle

triangle that has 1 right angle

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6

obtuse triangle

triangle that has 1 obtuse angle

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7

equiangular triangle

triangle that has 3 congruent angles

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8

Triangle Sum Theorem

The sum of the measures of the interior angles of a triangle is 180

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9

Exterior Angles Theorem

The measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles

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10

corollary

a statement that can be proved easily given using the theorem

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11

Corollary to the Triangle Sum Theorem

The acute angles of a right triangle are complementary

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12

Third Angles Theorem

If two angles of one triangle are congruent to two angles of another triangle, then the third angles are also congruent

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13

SAS

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

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14

Base Angles Theorem

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

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15

Converse of the Base Angles Theorem

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

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16

Corollary to the Base Angles Theorem

If a triangle is equilateral, then it is equiangular

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17

Corollary to the Converse of the Base Angles Theorem

If a triangle is equiangular, then it is equilateral

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18

SSS

If three sides of one triangle are congruent to three sides of a second triangle, then the two triangles are congruent

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19

included side

the common side of two consecutive angles in a polygon

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20

ASA

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

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21

AAS

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

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22

CPCTC

Corresponding Parts of Congruent Triangles are Congruent

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23

coordinate proof

involves placing geometric figures on axes

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24

legs

two congruent sides of an isosceles triangle

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25

vertex angle

angle formed by the legs

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26

base

third side of an isosceles triangle

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27

base angles

two angles adjacent to the base

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