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Nataly [62]
3 years ago
14

What are the converse, inverse and contrapositive of the statement? Which statements are true? Statement: If the figure is squar

e, then the figure is quadrilateral
Mathematics
1 answer:
notsponge [240]3 years ago
5 0

Conditional: If p, then q

Converse: If q, then p

Inverse: If not p, then not q.

Contrapositive: If not q, then not p.

Blow, p is bold; <em>q is italic</em>; <u>not p is bold underline</u>; <u><em>not q is italic underline</em></u>.

<u><em>The truth value of each statement is bold, italic underline.</em></u>

Conditional: If a figure is a square, then <em>the figure is a quadrilateral</em>.    <u><em>True</em></u>

Converse: If <em>a figure is quadrilateral</em>, then the figure is a square.   <u><em>False</em></u>

Inverse: If <u>a figure is not a square</u>, then <u><em>the figure is not a quadrilateral</em></u>.   <u><em>False</em></u>

Contrapositive: If <em>a figure is not a quadrilateral</em>, then the figure is not a square.   <u><em>True</em></u>

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Answer:

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Step-by-step explanation:

Hi there!

Linear equations are typically organized in slope-intercept form: y=mx+b where <em>m</em> is the slope and <em>b</em> is the y-intercept (the value of y when x=0).

<u>1) Determine the slope (</u><u><em>m</em></u><u>)</u>

m=\displaystyle\frac{y_2-y_1}{x_2-x_1} where two points that fall on the line are (x_1,y_1) and (x_2,y_2)

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m=\displaystyle\frac{-6-2}{4-0}\\\\m=\displaystyle\frac{-8}{4}\\\\m=-2

Therefore, the slope of the line is -2. Plug this into y=mx+b:

y=-2x+b

<u>2) Determine the y-intercept (</u><u><em>b</em></u><u>)</u>

The y-intercept occurs when x=0. We are given that (0,2) falls on the line, so therefore, 2 is the y-intercept. Plug this into y=-2x+b:

y=-2x+2

I hope this helps!

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