Question

8 which of these steps is not necessary to prove sas?
a compare non - included angles
b measure two sides
c verify the sides and angle are corresponding
d measure the included angle

9 in which scenario is sas used?
a comparing all angles in two triangles
b checking all three sides of two triangles
c measuring only the perimeter
d verifying two sides and an included angle match

10 which of the following would disqualify two triangles from being congruent by asa?
a the two triangles have two congruent angles
b the triangles have an included side that is congruent
c the triangles have the same orientation
d the side is not between the two congruent angles

11 which of the following would indicate sss congruence between two triangles in a diagram?
a all pairs of corresponding sides are marked as equal
b the triangles are labeled congruent.
c all corresponding angles are marked as equal
d the triangles are colored the same.

12 what type of angle is critical in the sas rule?
a the largest angle in the triangle
b the included angle between both sides
c the angle opposite one side
d the angle closest to the base

13 which postulate or theorem states that two triangles are congruent if two angles and the included side of one triangle are congruent to two angles and the included side of the other?
a hl congruence theorem
b asa congruence postulate
c sss congruence postulate
d sas congruence postulate

14 which of the following is not required for sas?
a the included angle is equal
b corresponding side pairs match
c all three angles are equal
d two sides are equal

Explanation:

For question 8: The SAS (Side - Angle - Side) congruence criterion requires two sides and the included angle. Non - included angles are not part of the SAS proof.
For question 9: SAS is used when we verify two sides and an included angle match.
For question 10: The ASA (Angle - Side - Angle) congruence criterion requires two angles and the included side.
For question 11: All pairs of corresponding sides being marked as equal indicates SSS (Side - Side - Side) congruence.
For question 12: The included angle between two sides is crucial for SAS.
For question 13: The ASA Congruence Postulate states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent.
For question 14: All three angles being equal is for AAA (Angle - Angle - Angle) which does not imply congruence (only similarity in some cases), and it is not a requirement for SAS.

Answer:

1. a. Compare non - included angles
2. d. Verifying two sides and an included angle match
3. b. The triangles have an included side that is congruent
4. a. All pairs of corresponding sides are marked as equal
5. b. The included angle between two sides
6. b. ASA Congruence Postulate
7. c. All three angles are equal