Hurry i'll pick a brainliest !
trapezoid l'm'n'p' was constructed using trapezoid lmnp.
for the transformation to be a translation, which statements must be true? check all that apply.

a.} ll'=pp'
b.} ll'=mm'
c.}trapezoid lmnp is congruent to trapezoid l'm'n'p'
d.} nn'=1/2pp'
e.} all line segments that connect a point on the pre-image to its corresponding point on the image are parallel.

If you translate trapezoid LMNP 3 units down and 8 units right, then you get trapezoid L'M'N'P'.

The coordinates of initial trapezoid are:

L(-7,0), M(-5,3), N(-1,3) and P(-1,0).

The coordinates of translated trapezoid trapezoid are:

L'(1,-3), M'(3,0), N'(7,0) and P'(7,-3).

1.

.

This gives you conclusion that options A and B are correct and option D is incorrect.

2. Find vectors:

.

All these vectors have the same coordinates, then they are parallel and all line segments that connect a point on the pre-image to its corresponding point on the image are parallel (choice E is correct).

Trapezoid LMNP is congruent to trapezoid L'M'N'P', because translation is isometric transformation (choice C is correct).

correct choices - A, B, C, E, incorrect choice - D.

Correct options are A,B,C and E.

Step-by-step explanation:

It is given that trapezoid L'M'N'P' was constructed using trapezoid LMNP.

The vertices of trapezoid LMNP are (-7,0), (-5,3), (-1,3) and (-1,0).

The vertices of trapezoid L'M'N'P' are (1,3), (3,0), (7,0) and (7,-3).

The relationship between preimage and image is defined by the rule

It means the figure it translated 8 units right and 3 units down.

Translation is a rigid transformation, it means the size and shape of the image is same and preimage. In other words, translation is the shifting of a figure from one place to another.

All the points of preimage moves in same direction by same distance. So we conclude that

LL'=PP'

LL'=MM'

Trapezoid LMNP ≅ Trapezoid L'M'N'P'

All line segments that connect a point on the pre-image to its corresponding point on the image are parallel.

Therefore, the correct options are A,B,C and E. Only option D is incorrect.

a line is an defined derm because it

a)contains an infinite number of points b) can be used to create other geometric shapes c)describes something that does not have width or depth d) is a term that does not have a formal definition. a line is an undefined term because it: contains an infinite number of points.