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All Common Core: High School - Geometry Resources

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Flashcards: Angle, Circle, Perpendicular and Parallel Lines, and Line Segment Definitions: CCSS.Math.Content.HSG-CO.A.1

A truck is traveling down a hill, which of the following statements is/are true?

The body of the truck is perpendicular to the hill.

The truck tires are parallel to the hill.

The body of the truck is parallel to the hill.

None of the other answers.

The body of the truck is not perpendicular to the hill.

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Flashcards: Angle, Circle, Perpendicular and Parallel Lines, and Line Segment Definitions: CCSS.Math.Content.HSG-CO.A.1

A truck is traveling down a hill, which of the following statements is/are true?

Your answer:

The body of the truck is perpendicular to the hill.

Your answer:

The truck tires are parallel to the hill.

Your answer:

The body of the truck is parallel to the hill.

Your answer:

None of the other answers.

Correct answer:

The body of the truck is not perpendicular to the hill.

Explanation:

This question is trying to put a mathematical definition to a real life situation. First, recall the definitions of parallel and perpendicular lines, since those terms are among the answer selections.

Parallel lines: In a plane, parallel lines are lines that will never intersect. This means they have the same slope but different intercepts.

Perpendicular lines: In a plane, perpendicular lines are lines that intersect by creating a $90^\circ$ degree angle. This also means they have opposite sign, reciprocal slopes.

Now, look at the aspects of this particular problem.

"A truck is traveling down a hill"

From this statement, it cannot be assumed that the hill is a straight line nor can it be assumed that the hill goes on forever. Therefore, the truck and the hill will never be parallel. Also, for these same reasons it is known that the truck will never be perpendicular to the hill. The relation of the truck's tires to the hill will never be parallel since they constantly touch.

Thus, the correct answer choice is,

"The body of the truck is not perpendicular to the hill."

Flashcards: Angle, Circle, Perpendicular and Parallel Lines, and Line Segment Definitions: CCSS.Math.Content.HSG-CO.A.1

A truck is traveling up a hill, which of the following statements is/are true?

None of the other answers.

The truck tires are parallel to the hill.

The body of the truck is parallel to the hill.

The body of the truck is not perpendicular to the hill.

The body of the truck is perpendicular to the hill.

Report an Error Copyright Notice

Flashcards: Angle, Circle, Perpendicular and Parallel Lines, and Line Segment Definitions: CCSS.Math.Content.HSG-CO.A.1

A truck is traveling up a hill, which of the following statements is/are true?

Your answer:

None of the other answers.

Your answer:

The truck tires are parallel to the hill.

Your answer:

The body of the truck is parallel to the hill.

Your answer:

The body of the truck is perpendicular to the hill.

Correct answer:

The body of the truck is not perpendicular to the hill.

Explanation:

Parallel lines: In a plane, parallel lines are lines that will never intersect. This means they have the same slope but different intercepts.

Perpendicular lines: In a plane, perpendicular lines are lines that intersect by creating a $90^\circ$ degree angle. This also means they have opposite sign, reciprocal slopes.

Now, look at the aspects of this particular problem.

"A truck is traveling up a hill"

Thus, the correct answer choice is,

"The body of the truck is not perpendicular to the hill."

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All Common Core: High School - Geometry Resources

Flashcards: Angle, Circle, Perpendicular and Parallel Lines, and Line Segment Definitions: CCSS.Math.Content.HSG-CO.A.1

Flashcards: Angle, Circle, Perpendicular and Parallel Lines, and Line Segment Definitions: CCSS.Math.Content.HSG-CO.A.1

Flashcards: Angle, Circle, Perpendicular and Parallel Lines, and Line Segment Definitions: CCSS.Math.Content.HSG-CO.A.1

Flashcards: Angle, Circle, Perpendicular and Parallel Lines, and Line Segment Definitions: CCSS.Math.Content.HSG-CO.A.1

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