4.1 And 4.2

Question 0

Equilateral triangle

Answer 0

A triangle that has three congruent sides ( classifacation by sides)

Question 1

Congruent triangles

Answer 1

If triangle Abc is congruent to triangle pqr then there is a correspondence between their angles and sides such that angles are congruent and corresponding sides are congruent.

Question 2

Isosceles triangle

Answer 2

A triangle that has at least two congruent sides ( classifacation by sides)

Question 3

Scalene triangle

Answer 3

A triangle that has no congruent sides ( classification by sides )

Question 4

Acute triangle

Answer 4

A triangle that has 3 acute angles. If these angles are all congruent then the triangle is also equiangular. ( classification by angles )

Question 5

Equiangular triangle

Answer 5

A triangle that has three congruent angles ( classification by angles)

Question 6

Right triangle

Answer 6

A triangle that has exactly one right angle ( classification by angles )

Question 7

Obtuse triangle

Answer 7

A triangle that has exactly one obtuse angle ( classifacation by angles)

Question 8

Vertex

Answer 8

In triangle abc each of the points a b and c are vertces of the triangle

Question 9

Opposite side

Answer 9

The Side opposite if a given angle

Question 10

Adjacent side

Answer 10

Two sides that share a common vertex are adjacent sides

Question 11

Right triangle legs

Answer 11

The sides adjacent to the right triangle are the right triangle legs

Question 12

Right triangle hypotenuse

Answer 12

The side opposite of the right angle is the hypotenuse of the the triangle

Question 13

Isosceles triangle legs

Answer 13

An isosceles triangle can have three congruent sides. If it has only two, then the two congruent sides are the legs of the triangle

Question 14

Isosceles triangle based

Answer 14

The third side is the base of the triangle

Question 15

Theorem 4.1: properties of congruent triangles-

Answer 15

1. Every triangle is congruent to itself
2. If triangle abc is congruent to triangle pqr and triangle pqr is congruent to triangle tuv then triangle abc is congruent to triangle tuv
3. If triangle abc is congruent to triangle pqr then triangle pqr is congruent to triangle abc

Question 16

Interior able

Answer 16

Three angles f a triangle

Question 17

Exterior angle

Answer 17

An angle that is adjacent to an interior angle ( must form a linear pair)

Question 18

Theorem 4.2 : triangle sum theorem

Answer 18

The sum of the measures of the interior angles of the triangle is 180 degrees

Question 19

Theorem 4.3: third angles theorem

Answer 19

If two angles of one triangle are congruent to two angles of a second triangle then the Thor angles are also congruent

Question 20

Theorem 4.4

Answer 20

The acute angles of a right triangle are complementary

Question 21

Thereom 4.5 exterior angles theorem

Answer 21

The measure of an exterior angle of a triangle is equal to the sum of the measure of the two remote ( non adjacent ) interior angles

Question 22

Theorem 4.6: exterior Angles inequality theorem

Answer 22

The measure of an exterior angle of a triangle is greater than the measure of either of the two remote ( non adjacent ) interior angles

Question 23

Auxiliary line

Answer 23

Line added to a geometric figure

Question 24

Name the four ways to prove triangles congruent

Answer 24

SSS
Sas
Asa
Aas