Contents

- 1 Which construction of parallel lines is justified by the theorem when two lines are intersected?
- 2 Which lines are parallel justify your answer?
- 3 What theorem proves that two lines are parallel?
- 4 Which property of parallel lines is used in construction of parallel lines?
- 5 When two lines are intersected by a transversal and the corresponding angles are congruent?
- 6 When two lines are intersected by a transversal and the corresponding angles are congruent the lines are parallel?
- 7 What are five ways to prove two lines are parallel?
- 8 How do you know if lines are parallel?
- 9 What must be true for lines A and B to be parallel lines?
- 10 What do parallel lines give you?
- 11 How do you make parallel lines?
- 12 What is transversal theorem?
- 13 What are the three properties of parallel lines?
- 14 What are the types of parallel lines?
- 15 Can 2 rays be parallel?

## Which construction of parallel lines is justified by the theorem when two lines are intersected?

When **two lines are intersected** by a transversal and alternate interior angles are congruent, the **lines** are **parallel**. When **two lines are intersected** by a transversal and the corresponding angles are congruent, the **lines** are **parallel**. 3 The diagram below shows the **construction** of through point P **parallel** to.

## Which lines are parallel justify your answer?

If two lines are cut by a **transversal** and alternate interior angles are congruent, then the lines are parallel.

## What theorem proves that two lines are parallel?

If two parallel lines are cut by a transversal, then **corresponding angles** are congruent. If two lines are cut by a transversal and **corresponding angles** are congruent, then the lines are parallel.

## Which property of parallel lines is used in construction of parallel lines?

This **construction** works by using the fact that a transverse **line** drawn across two **parallel lines** creates pairs of equal corresponding angles. It **uses** this in reverse – by creating two equal corresponding angles, it can create the **parallel lines**.

## When two lines are intersected by a transversal and the corresponding angles are congruent?

If **two lines are cut by a transversal** so the **corresponding angles are congruent**, then the **lines** are parallel. If **two lines are cut by a transversal** so the **alternate interior angles are congruent**, then the **lines** are parallel.

## When two lines are intersected by a transversal and the corresponding angles are congruent the lines are parallel?

If **two parallel lines are cut by a transversal**, the **corresponding angles are congruent**. If **two lines are cut by a transversal and the corresponding angles are congruent, the lines are parallel**. Interior **Angles** on the Same Side of the **Transversal**: The name is a description of the “location” of the these **angles**.

## What are five ways to prove two lines are parallel?

**Ways to Prove Two Lines Parallel**

- Show that corresponding angles are equal.
- Show that alternative interior angles are equal.
- Show that consecutive interior angles are supplementary.
- Show that consecutive exterior angles are supplementary.
- In a plane, show that the
**lines**are perpendicular to the same line.

## How do you know if lines are parallel?

We can **determine** from their equations **whether** two **lines** are **parallel** by comparing their slopes. **If** the slopes are the same and the y-intercepts are different, the **lines** are **parallel**. **If** the slopes are different, the **lines** are not **parallel**. Unlike **parallel lines**, perpendicular **lines** do intersect.

## What must be true for lines A and B to be parallel lines?

**Lines a and b** are **parallel** because their corresponding angles are congruent. m∠2 = (3x – 3)°. **Lines** e and f are **parallel** because their alternate exterior angles are congruent.

## What do parallel lines give you?

When **you** have two **parallel lines** cut by a transversal, **you get** four acute angles and four obtuse angles (except when **you get** eight right angles). All the acute angles **are** congruent, all the obtuse angles **are** congruent, and each acute angle is supplementary to each obtuse angle.

## How do you make parallel lines?

**How to Construct** Two **Parallel Lines**

- The first thing you
**do**is**draw**a straight**line**. It can be any length. - Step 2: Steps Two & Three. Place the stylus of the compass on the point, and swing the compass down to
**make**two marks on the**line**. - Step 3: Step Four & Five.
- Connect these 3 points, and now you have 2
**parallel lines**!

## What is transversal theorem?

If two **lines** are intersected by a transversal, then alternate interior angles, alternate exterior angles, and corresponding angles are **congruent**. The converse of the theorem is true as well. If two corresponding angles are **congruent**, then the two **lines** cut by the transversal must be parallel.

## What are the three properties of parallel lines?

**Properties Of Parallel Lines**

- The corresponding
**angles**are equal. - The vertically opposite
**angles**are equal. - The alternate interior
**angles**are equal. - The alternate exterior
**angles**are equal. - The pair of interior
**angles**on the same side of the**transversal**is supplementary.

## What are the types of parallel lines?

**Properties of parallel line**

- Two
**lines**cut by a transversal**line**are**parallel**when the corresponding angles are equal. - Two
**lines**cut by a transversal**line**are**parallel**when the alternate interior angles are equal. - Two
**lines**cut by a transversal**line**are**parallel**when the alternate exterior angles are equal.

## Can 2 rays be parallel?

**Parallel rays two rays** are **parallel** if the corresponding lines determined by them are **parallel**. In other words **two rays** in the same plane are **parallel** if they **do** not intersect each other even if extended indefinitely beyond their initial points.