Quiz about Geometry | Unit 1 | Lesson 6: Construction Techniques 4: Parallel and Perpendicular Lines | Practice Problems

Question 1

Which of the following constructions would help to construct a line passing through point $$C$$ that is perpendicular to the line $$AB$$ ?

Accepted Answer

Construction of a perpendicular bisector through $$C$$

Answer

Construction of an equilateral triangle with one side $$AB$$

Answer

Construction of a hexagon with one side $$BC$$

Answer

Construction of a square with one side $$AB$$

Question 2

Two distinct lines, $$\ell$$ and $$m$$ , are each perpendicular to the same line $$n$$ . Select all the true statements.

Accepted Answer

Lines $$\ell$$ and $$n$$ are perpendicular.

Accepted Answer

Lines $$m$$ and $$n$$ are perpendicular.

Accepted Answer

Lines $$\ell$$ and $$m$$ are parallel.

Answer

Lines $$\ell$$ and $$m$$ are perpendicular.

Answer

Lines $$\ell$$ and $$n$$ are parallel.

Question 3

This diagram is a straightedge and compass construction of a line perpendicular to line $$AB$$ passing through point $$C$$ . Which segment has the same length as segment $$EA$$ ?

Accepted Answer

$$ED$$

Answer

$$EC$$

Answer

$$BE$$

Answer

$$BD$$

Question 4

$$A$$ , $$B$$ , and $$C$$ are the centers of the 3 circles. Select all the segments that are congruent to $$AB$$ .

Accepted Answer

$$BD$$

Accepted Answer

$$BF$$

Accepted Answer

$$HA$$

Answer

$$HF$$

Answer

$$CE$$

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