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2 years ago

Which statements are always true for a rectangle?

Mathematics

1 answer:

LekaFEV [45]2 years ago

5 0

Answer:

True☆The diagonals are congruent.

Not always X All sides are congruent. (Only for rectangles that are also rhombus = a square!)

Not always X The diagonals of a rectangle are perpendicular to each other. (Counterexample: draw a really long rectangle with a tiny, tiny width...the x made by the diagonals is clearly not perpendicular!)

True☆ The opposite sides are parallel. (Bc rectangles are parallelograms, part of the definition)

True☆All angles are congruent. (All four angles are right angles--part of the definition)

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3 years ago

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Answer:

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2 years ago

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mezya [45]

Given:

The figure of two quadrilaterals.

In $ABCD,AB=18,BC=20,CD=22,AD=24$

In $EFGH,EF=27,FG=30,GH=34, EH=36$

To find:

Whether the figures are congruent, similar or neither.

Solution:

Ratio of corresponding sides are:

$\dfrac{AB}{EF}=\dfrac{18}{27}$

$\dfrac{AB}{EF}=\dfrac{2}{3}$

Similarly,

$\dfrac{BC}{FG}=\dfrac{20}{30}$

$\dfrac{BC}{FG}=\dfrac{2}{3}$

$\dfrac{CD}{GH}=\dfrac{22}{34}$

$\dfrac{CD}{GH}=\dfrac{11}{17}$

And,

$\dfrac{AD}{EH}=\dfrac{24}{36}$

$\dfrac{AD}{EH}=\dfrac{2}{3}$

Clearly, $\dfrac{AB}{EF}=\dfrac{BC}{FG}=\dfrac{AD}{EH}\neq \dfrac{CD}{GH}$ .

All corresponding sides are not proportional.

Therefore, the figures are neither similar nor congruent. Hence, third option is correct.

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3 years ago

Hey school earn $70 from selling 50 tickets for the school play each ticket cost the same price how much does the school earn fo

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Step-by-step explanation:

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3 years ago