chapter 4 vocab

Question 1

legs

Answer 1

congruent sides of an isosceles triangle

Question 2

base

Answer 2

the 3rd non convenient side of an isosceles triangle (not always the bottom)

Question 3

base angles

Answer 3

the angles on either side of the base

Question 4

vertex angle

Answer 4

the angle in between the legs of the triangle

Question 5

Richard Nixon Theorem

Answer 5

In a triangle, 2 congruent sides means 2 congruent angles

Question 6

converse of the Richard Nixon Theorem

Answer 6

In a triangle, 2 congruent angles means 2 congruent sides

Question 7

an equilateral triangle is also an

Answer 7

isosceles triangle

Question 8

corollary

Answer 8

a statement you can prove using another theorem

Question 9

Corollary to the Richard Nixon Theorem

Answer 9

if a triangle is equilateral, then it is equiangular

Question 10

vertices

Answer 10

the three non collinear points of a triangle

Question 11

equilateral

Answer 11

all three sides are equal

Question 12

isosceles

Answer 12

at least 2 sides are equal

Question 13

scalene

Answer 13

no sides are equal

Question 14

equiangular

Answer 14

all three angles of a triangle are congruent

Question 15

acute triangle

Answer 15

all three angles are acute

Question 16

right triangle

Answer 16

one right angle

Question 17

obtuse triangle

Answer 17

one obtuse angle

Question 18

triangle sum theorem

Answer 18

all three angles in a triangle add up to 180

Question 19

interior angles

Answer 19

angles on the inside of the triangle

Question 20

exterior angles

Answer 20

angles on the outside of the triangle

Question 21

exterior angles theorem

Answer 21

the measure of an exterior angle is equal to the sum of the two remote interior angles

Question 22

corallary to the triangle sum theorem

Answer 22

the two acute angles in a right triangle are complimentary (when they are added together)

Question 23

distance formula

Answer 23

d = the square root of (x2-x1)^2 + (y2-y1)^2

Question 24

the sides of a triangle do not have to

Answer 24

add to 180