02.12.2020

If triangle
J
K
L is reflected across the
x
-axis and then translated
3 units right to form triangle
J

K

L

, what is the
y
-coordinate of point
L

?

. 5

Faq

Mathematics
Step-by-step answer
P Answered by PhD

C) △JKL is not congruent to △J′K′L′ because there is no sequence of rigid motions that maps △JKL to △J′K′L′.

Step-by-step explanation:

If L' were (-3,-4), it would be a reflection of L across the x-axis as J' and K' are with respect to J and K. Unfortunately, because it is not, the side lengths J'L' and K'L' of triangle J'K'L' are different from those of triangle JKL. This ensures the triangles JKL and J'K'L' are not congruent.


The coordinates of the vertices of △jkl are j(−2, 1) , k(−1, 3) , and l(−3, 4) . the coordinates of
Mathematics
Step-by-step answer
P Answered by PhD

C) △JKL is not congruent to △J′K′L′ because there is no sequence of rigid motions that maps △JKL to △J′K′L′.

Step-by-step explanation:

If L' were (-3,-4), it would be a reflection of L across the x-axis as J' and K' are with respect to J and K. Unfortunately, because it is not, the side lengths J'L' and K'L' of triangle J'K'L' are different from those of triangle JKL. This ensures the triangles JKL and J'K'L' are not congruent.


The coordinates of the vertices of △jkl are j(−2, 1) , k(−1, 3) , and l(−3, 4) . the coordinates of
Mathematics
Step-by-step answer
P Answered by PhD
Rotation of triangle JKL by 180 degrees will result in a triangle with corresponding vertices of (2, 4), (3, 2) and (-1, 2).

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.
Mathematics
Step-by-step answer
P Answered by PhD
Rotation of triangle JKL by 180 degrees will result in a triangle with corresponding vertices of (2, 4), (3, 2) and (-1, 2).

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.

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