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DanielleElmas [232]
3 years ago
7

Which best completes the following sentence?

Mathematics
2 answers:
kari74 [83]3 years ago
7 0
The word that best completes the given sentence above is option B. The triangles are congruent if they have the same size and shape. Meaning, when triangles are congruent, the measurement of their sides, as well as their angles, is exactly the same. 
zlopas [31]3 years ago
5 0

When two triangles are congruent they<span> will </span>have<span> exactly the </span>same <span>three sides and exactly the </span>same<span> three angles. The equal sides and angles may not be in the </span>same<span> position (</span>if<span> there is a turn or a flip), but </span>they<span> are there.</span>
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What is the area of a rectangle with vertices at ​ (0, −4) ​, ​ (−1, −3) ​ , (2, 0) , and (3, −1) ? Enter your answer in the box
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We are given vertices of a rectangle (0, −4) ​, ​ (−1, −3) ​ , (2, 0) , and (3, −1).

Length is the distance between (0, −4) ​and ​ (−1, −3) points.

Width is distance between  (−1, −3) ​ and (2, 0) points.

<u>Computing length:</u>

\mathrm{Compute\:the\:distance\:between\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}

=\sqrt{\left(-1-0\right)^2+\left(-3-\left(-4\right)\right)^2}

=\sqrt{2}

<u>Computing Width :</u>

\mathrm{The\:distance\:between\:}\left(-1,\:-3\right)\mathrm{\:and\:}\left(2,\:0\right)\mathrm{\:is\:}

=\sqrt{\left(2-\left(-1\right)\right)^2+\left(0-\left(-3\right)\right)^2}

=3\sqrt{2}

<h3>Area of the rectangle = Length × Width  </h3>

= \sqrt{2} \times 3\sqrt{2} = 3 \times 2 = 6 \ squares \ units..


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