The distance between $(7, 5)$ and $(2, 5)$ is........

  • A
    $9$
  • B
    $5$
  • C
    $4.5$
  • D
    $\sqrt{13}$

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The distance between the points $A(2, 3)$ and $B(-3, -9)$ is ...........

Ayush starts walking from his house to his office. Instead of going to the office directly,he goes to a bank first,from there to his daughter's school,and then reaches the office. What is the extra distance travelled by Ayush in reaching his office (in $, km$)? (Assume that all distances covered are in straight lines).
If the house is situated at $(2,4)$,the bank at $(5,8)$,the school at $(13,14)$,and the office at $(13,26)$,where coordinates are in $km$.

Which of the following groups is true for $\square ABCD?$
$1$. $\square ABCD$ is a rhombus. $a$. $\overline{AC}$ and $\overline{BD}$ bisect each other.
$2$. $\square ABCD$ is a parallelogram. $b$. $\overline{AC}$ and $\overline{BD}$ bisect each other at right angles.
$3$. $\square ABCD$ is a rectangle. $c$. $\overline{AC}$ and $\overline{BD}$ are congruent and bisect each other at right angles.
$4$. $\square ABCD$ is a square. $d$. $\overline{AC}$ and $\overline{BD}$ are congruent and bisect each other.

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The line segment joining $A(-3, 5)$ and $B(2, 5)$ intersects............

$A(8, 2)$,$B(2, 4)$,and $C(6, 7)$ are the vertices of $\Delta ABC$. Find the area of $\Delta ABC$.

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