Respuesta :
Answer: The correct option is D, i.e., ΔPQR is not congruent to ΔP'Q'R' because there is no sequence of rigid motions that maps ΔPQR to ΔP'Q'R'.
Explanation:
It is given that the coordinates of the vertices of △PQR are P(−3,4), Q(−3,1), and R(−1,1). The coordinates of the vertices of △P′Q′R′ are P′(−6,−5), Q′(−6,−1), and R′(−4,−1).
Plot these points on a coordinate plane and draw the triangles ΔPQR to ΔP'Q'R'.
According to the definition of congruent two triangles are congruent if their sides and interior angles of first triangle are same as the second triangle.
From the graph it is noticed that the side PQ and P'Q' are not equal. Similarly PR and P'R' are not equal.
Therefore, the ΔPQR is not congruent to ΔP'Q'R' because there is no sequence of rigid motions that maps ΔPQR to ΔP'Q'R' and the correct option is D.
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Answer:correct answer is shown
Step-by-step explanation:
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