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pashok25 [27]
3 years ago
8

Plot the following points to create a rectangle.

Mathematics
1 answer:
Tanya [424]3 years ago
3 0

Answer:

(5, -1)

Step-by-step explanation:

The three coordinates of a triangle are given as:

(5,3), (-5,3), (-5,-1).

To find:

The missing vertex = ?

Solution:

Let us label the vertices:

A (5,3),

B(-5,3),

C(-5,-1).

Let the missing vertex be (x, y).

Let us recall the properties of a rectangle.

The <em>opposite sides</em> of the rectangle are equal and parallel to each other.

Let us consider the side AB, we can see that only x coordinate is changed from A to B.

Let us consider the side BC, we can see that only y coordinate is changed from B to C.

A and B are adjacent vertices.

Similarly the opposite vertices will be C and D.

Same pattern will be followed in CD as that of AB.

x coordinate will be changed by same difference as that of AB.

Change in x coordinate from D to C = -5-x

Change in x coordinate from A to B = -5-5 =-10

Equating them:

-5-x=-10\\\Rightarrow x = 5

Same pattern is followed in BC and AD.

Their change in y coordinate will be same.

-1-3=y-3\\\Rightarrow y =-1

Missing vertex is <em>(5, -1)</em>.

Please refer to the attached image for the rectangle.

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