Use the image to answer the question.

Right triangle upper A upper B upper C is plotted in the first quadrant of a coordinate plane with unlabeled axes. Right triangle upper P upper Q upper R is plotted in the third quadrant. Squares are drawn in the interior angles by upper Q and upper B.

Triangle ABC
and triangle PQR
are plotted in the coordinate plane. Find the lengths of AB¯¯¯¯¯¯¯¯
and BC¯¯¯¯¯¯¯¯
, then state the length of PQ¯¯¯¯¯¯¯¯
needed to prove that triangle ABC
and triangle PQR
are congruent by the HL Congruence Theorem.

(2 points)
AB=
, BC=
, PQ=

1 answer

To answer your question, we need specific lengths or coordinates for the vertices of triangles ABC and PQR, as well as the image you mentioned. Without that information, I cannot calculate the lengths of AB, BC, and PQ or confirm the congruence of the triangles using the HL (Hypotenuse-Leg) Congruence Theorem.

If you can provide me with either the lengths of the sides, the coordinates of the vertices, or any additional details, I'll be glad to assist further!

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