What can be concluded about a pair of triangles with some congruent corresponding parts?
first one to answer correct gets brainliest answer (more than one answer)

That they are congruent. to prove they are congruent you must use one of the congruent triangle postulates which are SSS, SAS, ASA, AAS and HL. side side side means that if all sides are congruent than the triangle is congruent. side angle side says the same about a congruent included angle with two congruent sides. angle side angle means a congruent included side in between two congruent angles. angle angle side says that two angles and an excluded side means the triangles are congruent. and hypotenuse leg means that if the hypotenuse and one leg are congruent than the whole triangle is congruent. (this only works on right triangles)

D.) (-1, 1), (-1, 5), (-7, 1)

Step-by-step explanation:

The length of the horizontal segment of the triangle graphed is 3.  The length of the vertical segment of the triangle graphed is 2.  Using the Pythagorean theorem, this makes the length of the missing side

2²+3²=c²

4+9 = c²

13=c²

√13 = c

This makes our side lengths 2, 3, and √13.

For choice A our vertices are (-1, 1), (-1, 4), (-6, 1).

This makes the length of the horizontal segment 5 and the length of the vertical segment 3.  This makes the missing side length

5²+3²=c²

25+9=c²

34=c²

√34 = c

This is not proportional to the triangle drawn, so it is not similar.

The vertices of the triangle in option B are (-1, 1), (-1, 5), and (-6, 1).  This makes the horizontal segment 5 units long and the vertical segment 4 units long.  This makes the missing side length

4²+5²=c²

16+25=c²

41=c²

√41=c

These are not proportional to the triangle drawn, so the triangles are not similar.

The vertices of the triangle in choice C are (-1, 1), (-1, 4) and (-7, 1).  This makes the length of the horizontal segment 6 and the length of the vertical segment 3.  This makes the missing side length

3²+6²=c²

9+36=c²

45=c²

√45=c

3√5=c

These sides are not proportional to the sides of the triangle drawn, so the triangles are not similar.

The vertices of the triangle in choice D are (-1, 1), (-1, 5) and (-7, 1).  This makes the length of the horizontal segment 6 and the length of the vertical segment 4.  This makes the missing side length

6²+4²=c²

36+16=c²

52=c²

√52=c²

2√13=c

These sides are all twice as long as the sides of the triangle drawn; this

Hope it helps!