Question

if two triangles have two pairs of sides and the included angle equal, are they congruent?
a. no
b. only if the non - included angles are equal
c. only if the third side is also equal
d. yes
in which occasion is sas used?
a. measuring only the perimeter
b. checking all three sides of two triangles
c. verifying two sides and an included angle match
d. comparing all angles of two triangles
what does the included angle mean in triangle congruence?
a. the largest angle in the triangle
b. the angle opposite the given sides
c. the smallest angle in the triangle
d. the angle formed by the two given sides

Explanation:

For the first question, the SAS (Side - Angle - Side) congruence criterion states that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent.
For the second question, SAS is used when we verify two sides and an included angle match.
For the third question, the "included angle" is the angle formed by the two given sides.

Answer:

1. D. Yes
2. C. Verifying two sides and an included angle match
3. d. The angle formed by the two given sides