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hichkok12 [17]
3 years ago
9

Points ABCD are connected to form rectangle ABCD. If G is plotted at (7, 4), would rectangle EFGH be similar to rectangle ABCD?

Explain.
Mathematics
1 answer:
Marta_Voda [28]3 years ago
7 0
Given the information in this problem statement, point G could be plotted anywhere you like and EFGH could be similar to ABCD. The location of point G does not place any constraints on the relative locations of the other points that would prevent them from forming a rectangle similar to ABCD.


We suspect additional coordinates (possibly in a diagram) are missing from the problem statement.
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Answer : The measure of ∠WRS is 25°.

Step-by-step explanation :

As we know that vertically opposite angles are always equal.

In the given figure,

∠VRT = ∠WRS = (5x)°          (Vertically opposite angles)

And we know that the sum of all angle in a straight line is equal to 180°.

So,

∠TSR + ∠WRS = 180°

Given: ∠TSR = (25x + 30)°

∠TSR + ∠WRS = 180°

(25x + 30)° + (5x)° = 180°

30x + 30° = 180°

30x = 180° - 30°

30x = 150°

x = 5°

∠WRS = (5x)° = (5 × 5)°  = 25°  

Therefore, the measure of ∠WRS is 25°.

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