Question

which angle is crucial in the sas criterion?
a. any angle in the triangle
b. the largest angle
c. the included angle
d. the smallest angle
what does the sas criterion state for triangle congruence?
a. two sides and a non - included angle
b. two sides and the included angle
c. three sides of one triangle are equal to three sides of another triangle
d. two angles and a non - included side
what does proving triangle congruence using sas confirm?
a. the triangles are identical in size and shape
b. the triangles are similar
c. the triangles have the same area
d. all angles are equal

Explanation:

The SAS (Side - Angle - Side) criterion for triangle congruence requires two sides and the included angle (the angle between the two sides) to be equal in two triangles for them to be congruent. Congruent triangles are identical in size and shape.

1. In SAS, the crucial angle is the included angle between the two sides.
2. The SAS criterion states that two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle for congruence.
3. Proving triangle congruence using SAS confirms that the triangles are identical in size and shape.

Answer:

1. c. The included angle
2. b. Two sides and the included angle
3. a. The triangles are identical in size and shape