Question

In the figure, DA = DC and BA = BC.
Are the triangles DBA and DBC congruent?
Why? with steps​

Answer 1

Proving Triangles Congruent

SSS - SideSideSide

If 3 sides in one triangle are

congruent to 3 sides of a

second triangle, then the

triangles are congruent.

SAS - SideAngleSide

If two sides and the included

angle of one triangle are

congruent to the corresponding

parts of another triangle, the

triangles are congruent.

ASA - AngleSideAngle

If two angles and included side

of one triangle are congruent to

the corresponding parts of

another triangle, the triangles

are congruent.

AAS - AngleAngleSide

If two angles and the nonincluded side of one triangle are

congruent to the corresponding

parts of another triangle, the

triangles are congruent.

HL - HL HypLeg

If the hypotenuse and leg of one

right triangle are congruent to

the corresponding parts of

another right triangle, the right

triangles are congruent

(CPCTC) Corresponding

parts of congruent triangles are

congruent.

Isosceles Triangles Theorems

• If two sides of a triangle are congruent, the angles opposite these sides are congruent.

• If two angles of a triangle are congruent, the sides opposite these angles are congruent.

• The median from the vertex angle of an isosceles triangle bisects the vertex angle.

• The median from the vertex angle of an isosceles is perpendicular to the base.