Chapter 5 Flashcards
(26 cards)
what is a scalene triangle?
a triangle with no congruent sides.
what is an isosceles triangle?
a triangle with two congruent sides.
what is an equilateral triangle?
a triangle with all three sides congruent.
what is an acute triangle?
a triangle with three acute sides.
what is a right triangle?
a triangle with one right angle.
what is an obtuse triangle?
a triangle with one obtuse angle.
what is an equiangular triangle?
a triangle with all three sides congruent.
what do exterior angles need to be considered one?
they have to form a linear pair with an interior angle
what is theorem 5.1?
triangle sum theorem
what does the triangle sum theorem say?
the sum of the measure of the interior angles of a triangle is 180.
what is theorem 5.2?
exterior angle theorem
what does the exterior angle theorem say?
the measure of an exterior angle of a triangle equal to the sum of the measures of the two nonadjacent interior angles.
what is theorem 5.6?
base angle theorem
what does the base angle theorem say?
if two sides of a triangle are congruent, then the angles opposite them are congruent.
what is theorem 5.7?
the converse of base angles theorem
what does the converse of base angles theorem say?
if two angles of a triangle are congruent, then the sides opposite them are congruent.
if a triangle is equilateral it is also…
equiangular
what is theorem 5.8?
side-side-side congruent
what does the side-side-side congruent theorem say?
if three sides of a triangle are congruent to three sides of a second triangle, then the two triangles are congruent.
what is theorem 5.9?
hypotenuse-leg congruence
what does the hypotenuse-leg congruence theorem say?
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.
what type of triangles does the hypotenuse-leg congruence theorem work for?
right triangles
what is theorem 5.10?
angle-side-angle congruence theorem
what does the angle-side-angle congruence theorem say?
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.
