Which of the following pairs of triangles could be proven congruent by the ASA Congruence Theorem?(1 point)

Question

Responses

Two congruent triangles, upper X upper Y upper Z and upper A upper B upper C are shown within an 11 column by 5 row grid.
Image with alt text: Two congruent triangles, upper X upper Y upper Z and upper A upper B upper C are shown within an 11 column by 5 row grid.

Two congruent triangles, upper X upper Y upper Z and upper A upper B upper C are shown within an 11 column by 5 row grid.
Image with alt text: Two congruent triangles, upper X upper Y upper Z and upper A upper B upper C are shown within an 11 column by 5 row grid.

Two congruent triangles, upper A upper B upper C and upper Q upper R upper S are shown within an 11 columns by 5 row grid.
Image with alt text: Two congruent triangles, upper A upper B upper C and upper Q upper R upper S are shown within an 11 columns by 5 row grid.

Two congruent triangles, upper A upper B upper C and upper Q upper R upper S are shown within an 11 column by 5 row grid. The sides upper A upper C and upper Q upper S are marked congruent by one tick mark.
Image with alt text: Two congruent triangles, upper A upper B upper C and upper Q upper R upper S are shown within an 11 column by 5 row grid. The sides upper A upper C and upper Q upper S are marked congruent by one tick mark.

Answer 1

To determine if two triangles can be proven congruent using the ASA (Angle-Side-Angle) Congruence Theorem, we need to check for two angles and the included side being congruent.

From the information provided, we have pairs of triangles (ABC and QRS). For them to be congruent by ASA, the following must be true:

• Two angles of triangle ABC must be congruent to two angles of triangle QRS.
• The side between those two angles (the included side) must also be congruent.

From your description, it seems only one pair of triangles provides information on a congruent side (AC and QS). Assuming the angles either are given in the image or can be inferred, we can conclude the following:

• If triangle ABC and triangle QRS show that:
  1. Angle A is congruent to Angle Q.
  2. Angle B is congruent to Angle R.
  3. Side AC is congruent to side QS (the included side).

Then triangle ABC and triangle QRS can be proven congruent by the ASA Congruence Theorem.

Therefore, if the listed triangle pair includes two pairs of angles being congruent and one included side being congruent, that pair could be proven congruent by ASA. Without the images, I can't definitively identify which pair it is, but check the mentioned conditions against the triangles to find the ASA congruence.