Theorems: Congruent Triangles

Question 1

ITT Theorem

Answer 1

If two sides of a triangle are congruent, then the angles opposite those sides are congruent.

Question 2

ITT C-1

Answer 2

An equilateral triangle is also equiangular.

Question 3

ITT C-2

Answer 3

An equilateral triangle has three angles 60 degree angles.

Question 4

ITT C-3

Answer 4

The bisector of the vertex angle of an isosceles triangle is perpendicular to the base at its midpoint.

Question 5

4-2

Answer 5

If two angles of a triangle are congruent. then the sides opposite those angles are congruent

Question 6

4-2 Corollary

Answer 6

An equiangular triangle is also equilateral

Question 7

AAS Theorem

Answer 7

If two angles and a non-included side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.

Question 8

HL Theorem

Answer 8

If the hypotenuse and a leg of one right triangle are congruent to the corrseponding parts of another right triangles, then the triangles are congruent.

Question 9

4-5

Answer 9

if a point lies on the perpendicular bisector of a segment, then the point is eqidistant from the endpoints of a segment.

Question 10

4-6

Answer 10

If a point is equidistant from the endpoints of a segment, then the point lies on the perpendicular bisector bisector of the segment.

Question 11

4-7

Answer 11

If a point lies on the bisector of an angles, then the point is equidistant fomr the sides of the angle

Question 12

4-8

Answer 12

If a point is equidistant fromthe sides of an angle, then the point lies on the bisector of the angle.