Theorem Thursday 7

Question 1

triangle midsegment theorem

Answer 1

the segment connecting the midpoints of 2 sides of a triangle is parallel to the 3rd side and is half as long a that side

Question 2

triangle longer side theorem

Answer 2

if one side of a triangle is longer then another side then the angle opposite the longer side is larger then the angle opposite the shorter side

Question 3

triangle larger angle theorem

Answer 3

if one angle of a triangle is larger than another angle then the side opposite the larger angle is longer then the side opposite the smaller angle

Question 4

triangle inequality theorem

Answer 4

the sum of the lengths of two sides of a triangle is greater then the third side

Question 5

hinge theorem

Answer 5

if two sides of a triangle are congruent to two sides of another triangle and the included angle of the second then the third side of second

Question 6

converse of the hinge theorem

Answer 6

if 2 sides of 1 triangle are congruent to 2 sides of another triangle and the 3rd side of the 1st is longer then the 3rd side of the 2nd then the included angle of the 1st is larger than the included angle of the 2nd