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All Common Core: High School - Geometry Resources

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Flashcards: Construct basic geometric figures

What must occur to construct two $45^\circ$ angles from a $90^\circ$ angle?

Bisect the $90^\circ$ in half.

Move the terminal ray of the angle up $45^\circ$ .

Move the nonterminal ray of the angle down $45^\circ$ .

Move the terminal ray of the angle down $45^\circ$ .

Move the nonterminal ray of the angle up $45^\circ$ .

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Flashcards: Construct basic geometric figures

What must occur to construct two $45^\circ$ angles from a $90^\circ$ angle?

Your answer:

Move the terminal ray of the angle up $45^\circ$ .

Your answer:

Move the nonterminal ray of the angle down $45^\circ$ .

Your answer:

Move the terminal ray of the angle down $45^\circ$ .

Your answer:

Move the nonterminal ray of the angle up $45^\circ$ .

Correct answer:

Bisect the $90^\circ$ in half.

Explanation:

To construct two $45^\circ$ angles from a $90^\circ$ angle a bisection must occur. Recall that bisection means to cut an angle into two equal parts.

Since

$\frac{90^\circ}{2}=45^\circ$

that makes a bisection of the $90^\circ$ angle equal two $45^\circ$ angles and thus is the solution.

Moving the terminal ray will not create two angles and thus it cannot be the solution.

Nonterminal is not the correct terminology and therefore, it cannot be the correct solution.

Flashcards: Construct basic geometric figures

How are congruent lines identified in a parallelogram?

Either single or double hash marks

Double hash marks

One single hash mark on one line and a double hash mark on the parallel line

None of the other answers

Single hash marks

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Flashcards: Construct basic geometric figures

How are congruent lines identified in a parallelogram?

Your answer:

Double hash marks

Your answer:

One single hash mark on one line and a double hash mark on the parallel line

Your answer:

None of the other answers

Your answer:

Single hash marks

Correct answer:

Either single or double hash marks

Explanation:

Parallel lines by definition are lines that will never intersect one another. This means the slope of the lines are the same. When these lines make up a parallelogram figures that are created include squares, rectangles, diamonds, and rhombi.

Some images that depict parallelograms are as follows. Notice that either single or double hash marks can be used to identify that opposite lines are congruent.

Screen shot 2016 06 16 at 11.01.47 am

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All Common Core: High School - Geometry Resources

Flashcards: Construct basic geometric figures

Flashcards: Construct basic geometric figures

Flashcards: Construct basic geometric figures

Flashcards: Construct basic geometric figures

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