Mathematics, 09.12.2019 11:31 babylibra

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.

Hurry i'll pick a brainliest ! trapezoid l'm'n'p' was constructed using trapezoid lmnp.

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Answer from: lifehitsjackson

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).

$LL'=\sqrt{(-7-1)^2+(0+3)^2}=\sqrt{73} ,\\ PP'=\sqrt{(-1-7)^2+(0+3)^2}=\sqrt{73} ,\\ MM'=\sqrt{(-5-3)^2+(3-0)^2}=\sqrt{73} ,\\ NN'=\sqrt{(-1-7)^2+(3-0)^2}=\sqrt{73}$ .

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

2. Find vectors:

$\vec{LL'}=(1+7,-3-0)=(8,-3),\\ \vec{MM'}=(3+5,0-3)=(8,-3),\\ \vec{NN'}=(7+1,0-3)=(8,-3),\\ \vec{PP'}=(7+1,-3-0)=(8,-3)$ .

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.

Answer from: kaiyerecampbell95

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

$(x,y)\rightarrow (x+8,y-3)$

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.

Answer from: Quest

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Answer from: Quest

im with everythinglos so yeahhhhh

step-by-step explanation:

The graph shows a distribution of data.what is the standard deviation of the data? a)0.5b)1.5c)2.0d)

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