Triangle help please....
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Triangle help please....

[From: ] [author: ] [Date: 12-06-16] [Hit: ]
-2), B(-2, -3), C(0, -3)and triangle PQR are P(2, -2),......
The coordinates of the vertices of triangle ABC are A( -2, -2), B(-2, -3), C(0, -3)and triangle PQR are P(2, -2), Q(2, -3), R(4, -3). Which statement is correct?

A Triangle ABC and triangle PQR are equilateral triangles.
B Triangle ABC and triangle PQR are congruent by the AAA property.
C Triangle ABC is similar to triangle PQR because the ratio of their corresponding sides is five.
D Triangle ABC is congruent to triangle PQR because the corresponding sides are equal in length.

I drew out the triangles on graph paper, but when I look at the answers, I find that they all seem to be the answer. Agh, I dont know which one is actually correct. It looks like D is mostly it though.
Someone help me >.<

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They are clearly not equilateral triangles, because side AB has length 1 and side BC has length 2, so answer A is out.

The AAA property makes triangles similar, but not necessaily congruent, so B is out.
The ratio of their corresponding sides is not 5, so C is out.

That leaves you with D, which fortunately for you happens to be correct.

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Triangle ABC is congruent to triangle PQR because the corresponding sides are equal in length.

Both Triangles are the same in length and shape.
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