ch 5 congruent triangles fennimore

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20 Terms

1
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scalene triangle

no congruent sides

<p>no congruent sides</p>
2
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isoceles triangle

at least 2 congruent sides

<p>at least 2 congruent sides</p>
3
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equilateral triangle

3 congruent sides

<p>3 congruent sides</p>
4
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acute triangle

3 acute angles

<p>3 acute angles</p>
5
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right triangle

1 right (90) angle

<p>1 right (90) angle</p>
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obtuse triangle

1 obtuse angle

<p>1 obtuse angle</p>
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equiangular triangle

3 congruent angles

<p>3 congruent angles</p>
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triangle sum theorem

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

<p>the sum of the measures of the interior angles of a triangle is 180</p>
9
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exterior angles theorem

the measure of an exterior angle of a triangle is equal to the sum of the measures of the two nonadjacent interior angles

<p>the measure of an exterior angle of a triangle is equal to the sum of the measures of the two nonadjacent interior angles</p>
10
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corollary to the triangle sum theorem

the acute angles of a right triangle are complementary

<p>the acute angles of a right triangle are complementary</p>
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third angles theorem

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

<p>if two anlges of one triangle are congruent to two angles of another triangle, then the third angles are also congruent</p>
12
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side angle side (SAS) congruence theorem

if two sides are 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

<p>if two sides are 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</p>
13
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base angles theorem

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

<p>if two sides of a triangle are congruent, then the angles opposite of them are congruent</p>
14
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converse of the base angles theorem

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

<p>if two angles of a triangle are congruent, then the sides opposite them are congruent</p>
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corollary to the base angles theorem

if a triangle is equilateral, then it is equiangular

<p>if a triangle is equilateral, then it is equiangular</p>
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corollary to the converse of the base angles theorem

if a triangle is equiangular, then it is equilateral

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side-side-side (SSS) congruence theorem

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

<p>if three sides of one triangle are congruent to three sides of a second triangle, then the two triangles are congruent</p>
18
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hypotenuse-leg (HL) congruence theorem

if the hypotenuse and a leg of a right triangle are congruent ot the hypotenuse and a leg of a second right triangle, then the two triangles are congruent

<p>if the hypotenuse and a leg of a right triangle are congruent ot the hypotenuse and a leg of a second right triangle, then the two triangles are congruent</p>
19
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angle-side-angle (ASA) congruence theorem

if two angles and the included side of one triangle are congruent to two angles and the included side of a second triangle, then the two triangles are congruent

<p>if two angles and the included side of one triangle are congruent to two angles and the included side of a second triangle, then the two triangles are congruent</p>
20
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angle-angle-side (AAS) congruence theorem

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

<p>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</p>