kevinleon695
12.07.2019 •
Mathematics
Which statement best explains whether △jkl is congruent to △mnp? △jkl is congruent to △mnp because △jkl can be mapped to △mnp by a rotation of 180° about the origin followed by a translation 2 units up. △jkl is not congruent to △mnp because there is no sequence of rigid motions that maps △jkl to △mnp. △jkl is congruent to △mnp because △jkl can be mapped to △mnp by a reflection across the y-axis. △jkl is congruent to △mnp because △jkl can be mapped to △mnp by a reflection across the x-axis followed by a rotation of 180° about the origin. two triangles are graphed on a coordinate plane. the horizontal x-axis ranges from negative 5 to 5 in increments of 1. the vertical y-axis ranges from negative 5 to 5 in increments of 1. in triangle j k l, the vertex labeled as j lies on begin ordered pair negative 4 comma 2 end ordered pair. the vertex labeled as k lies on begin ordered pair negative 2 comma 3 end ordered pair. the vertex labeled as l lies on begin ordered pair negative 2 comma negative 1 end ordered pair. in triangle m n p, the vertex labeled as m lies on begin ordered pair 4 comma 0 end ordered pair. the vertex labeled as n lies on begin ordered pair 2 comma negative 1 end ordered pair. the vertex labeled as p lies on begin ordered pair 2 comma 3 end ordered pair.
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Ответ:
Then translating the resulting triangle 2 units up will result in a triangle with corresponding vertices (4, -2), (2, -3) and (2, 1) which is the same triangle as the given triangle MNP.
Therefore, the statement that best explains whether △JKL is congruent to △MNP is △JKL is congruent to △MNP because △JKL can be mapped to △MNP by a rotation of 180° about the origin followed by a translation 2 units up.
Ответ: