Chapter 5 Flashcards

1
Q

what is a scalene triangle?

A

a triangle with no congruent sides.

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2
Q

what is an isosceles triangle?

A

a triangle with two congruent sides.

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3
Q

what is an equilateral triangle?

A

a triangle with all three sides congruent.

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4
Q

what is an acute triangle?

A

a triangle with three acute sides.

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5
Q

what is a right triangle?

A

a triangle with one right angle.

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6
Q

what is an obtuse triangle?

A

a triangle with one obtuse angle.

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7
Q

what is an equiangular triangle?

A

a triangle with all three sides congruent.

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8
Q

what do exterior angles need to be considered one?

A

they have to form a linear pair with an interior angle

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9
Q

what is theorem 5.1?

A

triangle sum theorem

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10
Q

what does the triangle sum theorem say?

A

the sum of the measure of the interior angles of a triangle is 180.

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11
Q

what is theorem 5.2?

A

exterior angle theorem

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12
Q

what does the exterior angle theorem say?

A

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

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13
Q

what is theorem 5.6?

A

base angle theorem

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14
Q

what does the base angle theorem say?

A

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

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15
Q

what is theorem 5.7?

A

the converse of base angles theorem

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16
Q

what does the converse of base angles theorem say?

A

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

17
Q

if a triangle is equilateral it is also…

A

equiangular

18
Q

what is theorem 5.8?

A

side-side-side congruent

19
Q

what does the side-side-side congruent theorem say?

A

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

20
Q

what is theorem 5.9?

A

hypotenuse-leg congruence

21
Q

what does the hypotenuse-leg congruence theorem say?

A

if the hypothenuse and a leg of one triangle are congruent to the hypotenuse and a leg of another triangle, then the two triangles are congruent.

22
Q

what type of triangles does the hypotenuse-leg congruence theorem work for?

A

right triangles

23
Q

what is theorem 5.10?

A

angle-side-angle congruence theorem

24
Q

what does the angle-side-angle congruence theorem say?

A

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

25
Q

what is theorem 5.11?

A

angle-angle-side congruence theorem

26
Q

what does the angle-angle-side congruence theorem say?

A

if two angles and a non-included side of one triangle are congruent to two angles and a non-included side of another triangle, then the two triangles are congruent.