Chapter 4.1: Congruent Triangles

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 corresponding angles are congruent and corresponding sides are congruent.

Question 2

Classification by sides…

Answer 2

equilateral triangle, isosceles triangle and scalene triangle.

Question 3

Equilateral Triangle

Answer 3

an equilateral triangle has three congruent sides.

Question 4

Isosceles Triangle

Answer 4

an isosceles triangle has at least two congruent sides.

Question 5

Scalene Triangle

Answer 5

a scalene triangle has no sides congruent.

Question 6

Classification by angles…

Answer 6

acute triangle, equiangular triangle, right triangle and obtuse triangle.

Question 7

Acute Triangle

Answer 7

an acute triangle has three acute angles.

Question 8

Equiangular Triangle

Answer 8

if three acute angles are all congruent, then the triangle is also equiangular.

Question 9

Right Triangle

Answer 9

a right triangle has exactly one right angle.

Question 10

Obtuse Triangle

Answer 10

a obtuse triangle has exactly one obtuse angle.

Question 11

Vertex

Answer 11

in triangle ABC, each of the points A,B and C is a vertex of the triangle.

Question 12

Opposite Side

Answer 12

in triangle ABC, side BC is opposite angle A.

Question 13

Adjacent Side

Answer 13

two sides that share a common vertex are adjacent sides.

Question 14

Right Triangle contains…

Answer 14

legs and hypotenuse

Question 15

Legs

Answer 15

in a right triangle, the sides adjacent to the right angle are the legs of the triangle.

Question 16

Hypotenuse

Answer 16

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

Question 17

Isosceles Triangle contains…

Answer 17

legs and base

Question 18

Legs

Answer 18

the two congruent sides of an isosceles triangle.

Question 19

Base

Answer 19

the third side of an isosceles triangle.

Question 20

Thm. 4.1 - Properties of Congruent Triangles

Answer 20

every triangle is congruent to itself. If triangle ABC is congruent to triangle PQR, then triangle PQR is congruent to triangle ABC. If triangle ABC is congruent to triangle PQR and triangle PQR is congruent to triangle TUV, then triangle ABC is congruent to triangle TUV.