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Paul [167]
3 years ago
14

The lines below are perpendicular if the slope of the solid line is 4 what is the slope of the dashed line

Mathematics
1 answer:
const2013 [10]3 years ago
8 0

Answer:

The slope of the dashed line is -\frac{1}{4}

Step-by-step explanation:

Perpendicular lines and slopes:

If two lines are perpendicular, the multiplication of their slopes is -1.

What is the slope of the dashed line

Perpendicular to a line with slope 4, so:

4m = -1

m = -\frac{1}{4}

The slope of the dashed line is -\frac{1}{4}

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Square ABCD is shown with four congruent images such that ABCD FGHI JKLM NOPQ RSTU.
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  • <em><u>RSTU</u></em>

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The question states the <em>congruent</em> images:

  • ABCD ≅ FGHI ≅ JKLM ≅ NOPQ ≅ RSTU

The order of the letters matters.

For instance, ABCD ≅ FGHI means that the vertex A is transformed into vertex F, the vertex B is transformed into the vertex G, the vertex C is transformed into vertex H, and the vertex D is transformed into vertex I.

From the images, the square ABCD is just shifted 9 units down to form the square FGHI. No refelection is needed.

As per the square RSTU only a reflection of square ABCE accross the y-axis makes the vertex A into vertex R, the vertex B into the vertex S, the vertex C into the vertex T, and the vertex D into the vertex U.

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