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kykrilka [37]
3 years ago
11

Read this statement: “If a triangle is isosceles, then it is equilateral.” What is the converse of the statement?

Mathematics
2 answers:
makkiz [27]3 years ago
8 0
From the above statement that <span>“If a triangle is isosceles, then it is equilateral" the only thing i can conclude is </span>If a triangle is equilateral, then it is isosceles.
mart [117]3 years ago
7 0

Answer: If a triangle is equilateral, then it is isosceles.

Step-by-step explanation:

The converse of a conditional statement "if p then q " is written as " if q then p".

i.e. The hypothesis (p) and conclusion (q) in the conditional statement interchange their position to make its converse.

The given conditional statement : If a triangle is isosceles, then it is equilateral.

Here , p= a triangle is isosceles

q= it is equilateral

Then the converse of this statement will be:

If a triangle is equilateral, then it is isosceles.

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<em>Slope-intercept form</em> of a linear equation:  \mathsf{y=mx+b}

(where m is the slope and b is the y-intercept)

From inspection of the graph, the y-intercept is at (0, -4)

Therefore, b = -4

Choose another point on the line, e.g. (7, 0)

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\mathsf{slope=\dfrac{y_2-y_1}{x_2-x_1}}

where:

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\implies \mathsf{slope=\dfrac{0-(-4)}{7-0}=\dfrac47}

Therefore, the equation of the line is:

\mathsf{y=\dfrac47x-4}

For an inequality, the dashed line means < or >  (whereas a solid line means ≤ or ≥)

As the shading is below the line, we need to use <

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\mathsf{y < \dfrac47x-4}

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