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pychu [463]
3 years ago
10

Which of these shapes is congruent to given shape ?

Mathematics
2 answers:
patriot [66]3 years ago
6 0

Answer:

D.

Step-by-step explanation:

Well congruent means same size and same shape.

a) rectangle

This shape is a rectangle where as the given shape is a parallelogram.

This is not congruent to the given shape.

b) Parallelogram

This may be a parallelogram but it is too wide,

Hence, it is not congruent.

c) Rectangle

This is not a parallelogram,

Hence, this s not congruent

d) Parallelogram

This is a parallelogram with the same size just not in the same place but it is still congruent.

Thus, answer choices D. is the correct answer.

BlackZzzverrR [31]3 years ago
4 0

Answer:

Step-by-step explanation:

shape D

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Indicate the equation of the line, in standard form, that is the perpendicular bisector of the segment with endpoints (4, 1) and
jenyasd209 [6]

Equation of a line is x+3y =-3.

<h3>What is a perpendicular bisector of the line segment?</h3>

A perpendicular bisector is a line that cuts a line segment connecting two points exactly in half at a 90 degree angle. To find the perpendicular bisector of two points, all you need to do is find their midpoint and negative reciprocal, and plug these answers into the equation for a line in slope-intercept form.

Given that,

Endpoints of the line segment are (x_{1},y_{1}) = (4, 1) and (x_{2},y_{2}) = (2, -5).

First find the midpoints of the given line segment.

M = \left(\frac{x_{1}+x_{2}  }{2},\frac{y_{1}+y_{2}  }{2}\Right)

    =  \left(\frac{4+2  }{2},\frac{1-5  }{2}\Right)

M   =  (3,-2)

Now, Find the slope of the line :

It is perpendicular to the line with (4,1) and (2,-5)

Slope between (x_{1},y_{1}) and (x_{2},y_{2}) = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

so,

the slope between (4,1) and (2,-5)  =  \frac{-5-1  }{2-4 }

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perpendicular lines have slopes the multiply to get -1

3 times m=-1

m= \frac{-1}{3}

The equation of a line that has a slope of m and passes through the midpoints M(3,-2)  is

y-y_{1} =m(x-x_{1} )

y-(-2) =\frac{-1}{3} (x-3 )

(y+2) =\frac{-1}{3} (x-3 )

if we want slope intercept form

(y+2) =\frac{-1}{3} x+1

y= \frac{-1}{3} x-1

If we want standard form

\frac{1}{3} x+y = -1

x+3y =-3

Hence, Equation of a line is x+3y =-3.

To learn more about perpendicular bisector of the line segment from the given link:

brainly.com/question/4428422

#SPJ4

   

7 0
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Dahasolnce [82]

Answer:

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Step-by-step explanation:

Your welcome

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Answer:

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Please help please help me out
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