Question

 brainliest and 20 points! Which best explains whether or not ΔABC ≅ ΔLMN? The figures are congruent because a 270° rotation about the origin and then a reflection over the x-axis will map ΔABC onto ΔLMN. The figures are congruent because a 90 rotation about the origin and then a reflection over the x-axis will map ΔABC onto ΔLMN. The figures are not congruent because point B corresponds with point N and point C corresponds with point M. The figures are not congruent because there is no rigid transformation or combination of rigid transformations that will map ΔABC onto ΔLMN.

Answer 1

Triangle ABC has vertices at points A(-1,1), B(-4,1) and C(-1,5).

270° rotation about the origin in anti-clockwise direction has the rule:

(x,y)→(y,-x).

Then

• A(-1,1)→A'(1,1);
• B(-4,1)→B'(1,4);
• C(-1,5)→C'(5,1).

Reflection about the x-axis has the rule

(x,y)→(x,-y).

Then

• A'(1,1)→L(1,-1);
• B'(1,4)→M(1,-4);
• C'(5,1)→N(5,-1).

Thus, triangles ABC and LMN are congruent.

Answer: correct option is A.

Answer 2

The answer is A.

A) ΔRST ≅ ΔACB

I hope this helps anyone looking for the answer to this Q <//3 sorry