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All Common Core: High School - Geometry Resources

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Flashcards: Construct advanced geometric figures

Given the following ray, construct an angle that is $90^\circ$ .

None of the other answers.

Screen shot 2016 06 16 at 8.22.07 am

Screen shot 2016 06 16 at 8.22.49 am

Screen shot 2016 06 16 at 8.21.47 am

Screen shot 2016 06 16 at 8.21.53 am

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Flashcards: Construct advanced geometric figures

Given the following ray, construct an angle that is $90^\circ$ .

Your answer:

None of the other answers.

Your answer:

Screen shot 2016 06 16 at 8.22.07 am

Your answer:

Screen shot 2016 06 16 at 8.22.49 am

Your answer:

Screen shot 2016 06 16 at 8.21.53 am

Correct answer:

Screen shot 2016 06 16 at 8.21.47 am

Explanation:

In order to construct a $90^\circ$ angle using a ray, first recall what a $90^\circ$ angle and ray are.

An angle in the most basic terms is when two rays having the same vertex, are going in different directions.

Now, recall that a $90^\circ$ angle occurs when the lines or rays of the angle intersect perpendicularly.

Since the problem gives the starting ray,

which is a horizontal ray, then to create a $90^\circ$ angle, a vertical ray needs to be constructed from the same vertex. To identify a $90^\circ$ angle it is common practice to draw a square at the vertex to show the angle measurement. This results in the final solution.

Screen shot 2016 06 16 at 8.21.47 am

Flashcards: Construct advanced geometric figures

Given a line, what is the first step taken to construct a parallel line?

Identify the two lines intersection point.

Take the negative reciprocal of the given line's slope.

Calculate the slope of the given line.

Find the -intercept of the given line.

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Flashcards: Construct advanced geometric figures

Given a line, what is the first step taken to construct a parallel line?

Your answer:

Identify the two lines intersection point.

Your answer:

Take the negative reciprocal of the given line's slope.

Your answer:

Find the -intercept of the given line.

Your answer:

Find the -intercept of the given line.

Correct answer:

Calculate the slope of the given line.

Explanation:

To identify the first step that must be taken when constructing a parallel line, there is some information about the given line that needs to be clearly established first.

First recall what it means to be parallel. For lines to be parallel, their slopes must be equal and they must have different and intercepts. If two lines have the same intercepts and the same slope they are not parallel lines, they are the same line. Parallel lines mean that two lines will never intersect.

From here, look at the possible answers to decide which one is best.

"Identify the two lines intersection point." by definition of parallel lines this is false since parallel lines never intersect.

"Find the -intercept of the given line." and "Find the -intercept of the given line." could possible be considered among the steps to constructing parallel lines but not necessarily.

"Take the negative reciprocal of the given line's slope." Taking this would give the slope of a perpendicular line.

"Calculate the slope of the given line." in order to construct a parallel line, the slope must first be calculated on the given line. Therefore, this is the best answer.

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All Common Core: High School - Geometry Resources

Flashcards: Construct advanced geometric figures

Flashcards: Construct advanced geometric figures

Flashcards: Construct advanced geometric figures

Flashcards: Construct advanced geometric figures

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