The SAS Congruence Theorem Quick Check 1 of 51 of 5 Items Question What does the SAS Congruence Theorem say?(1 point) Responses If two triangles have one pair of congruent angles between two pairs of congruent sides, then the triangles are congruent. If two triangles have one pair of congruent angles between two pairs of congruent sides, then the triangles are congruent. If two triangles have one pair of congruent angles and two pairs of congruent sides, then the triangles are congruent. If two triangles have one pair of congruent angles and two pairs of congruent sides, then the triangles are congruent. If two triangles have one pair of congruent angles and at least one pair of congruent sides, then the triangles are congruent. If two triangles have one pair of congruent angles and at least one pair of congruent sides, then the triangles are congruent. If a triangle has an angle between two congruent sides, then it is isosceles. If a triangle has an angle between two congruent sides, then it is isosceles. Skip to navigation page 16 of 16 Formula keypad has been closed. Press Control + Backslash to open it again.Formula keypad has been closed. Press Control + Backslash to open it again.Formula keypad has been closed. Press Control + Backslash to open it again.Formula keypad has been closed. Press Control + Backslash to open it again.Formula keypad has been closed. Press Control + Backslash to open it again.

1 answer

The SAS Congruence Theorem states that if two triangles have one pair of congruent sides and the included angle (the angle between the two sides) is also congruent, then the two triangles are congruent.

So, the correct response from your list would be:

If two triangles have one pair of congruent sides and the included angle between those sides is congruent, then the triangles are congruent.

However, none of the responses provided perfectly articulate the SAS Congruence Theorem accurately. The closest match would be the second option, with some modification for accuracy:

  • If two triangles have two pairs of congruent sides and the included angle is congruent, then the triangles are congruent.