The figure below shows three quadrilaterals on a coordinate grid: A coordinate grid is shown from positive 8 to negative 8 on the x axis and from positive 8 to negative 8 on the y axis. An image of a rectangle labeled M is shown on ordered pair negative 1, negative 1 and negative 3, negative 1 and negative 3, negative 2 and negative 1, negative 2. Another image of a rectangle labeled N is shown on ordered pair negative 2, negative 2 and negative 6, negative 2 and negative 6, negative 4 and negative 2, negative 4. Another image of a rectangle labeled O is shown on ordered pair 1, 1 and 1, 2, and 3 , 2 and 3, 1.

Which of the following statements is true about the three quadrilaterals?

N and O are similar and congruent.
M and N are similar and congruent.
M and O are similar but not congruent.
M and N are similar but not congruent.

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Ответ:

jako12

10.12.2021

Mathematics

Answer is C.

Step-by-step explanation:

$( {a}^{5} {b}^{2} {c}^{5} )( {ac}^{2} )$

form brackets of common terms:

$= ( {a}^{5} .a)( {b}^{2} )( {c}^{5} . {c}^{2} )$

from law of indices:

${ \boxed{ \bf{ {x}^{n} \times {x}^{m} = {x}^{(n + m)} }}}$

therefore:

$= \{ {a}^{(5 + 1)} \} \{ {b}^{2} \} \{ {c}^{(5 + 2)} \} \\ = {a}^{6} {b}^{2} {c}^{7}$

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