## Characteristics of isosceles trapezoid

### What is unique about an isosceles trapezoid?

An **isosceles trapezoid** has the following **unique** properties: One pair of parallel sides. Base angles are congruent. The legs are congruent.

### What makes a trapezoid an isosceles trapezoid?

A **trapezoid** is a quadrilateral with exactly one pair of parallel sides. A pair of angles that share a base as a common side are called a pair of base angles. A **trapezoid** with the two non-parallel sides the same length is called an **isosceles trapezoid**.

### How many properties does an isosceles trapezoid have?

**Isosceles trapezoids have** two sides that are opposite and parallel. The angles adjacent to each non-parallel side are supplementary. The angles adjacent to each parallel side are congruent. The non-parallel sides **have** the same length.

### What is the difference between a trapezoid and an isosceles trapezoid?

A **trapezoid** is a quadrilateral where one pair of sides is parallel while the other two sides are not. **In an isosceles trapezoid** the non-parallel sides are congruent.

### Is a trapezoid always isosceles?

An **isosceles trapezoid is a trapezoid** where the non-parallel sides are congruent. Theorem: The base angles of an **isosceles trapezoid** are congruent. The converse is also true: If a **trapezoid** has congruent base angles, then it is an **isosceles trapezoid**.

### How do you prove an isosceles trapezoid?

**One way to prove that a quadrilateral is an isosceles trapezoid is to show:**

- The quadrilateral has two parallel sides.
- The lower base angles are congruent and the upper base angles are congruent.

### Which best describes the diagonals of an isosceles trapezoid?

**Diagonals** are congruent.

### What is the greatest number of right angles an isosceles trapezoid may have?

Explanation: A **trapezoid can have** either 2 **right angles**, or no **right angles** at all.

### How do you prove parallel lines?

If two **lines** are cut by a transversal so the alternate exterior angles are congruent, then the **lines** are **parallel**. If two **lines** are cut by a transversal so the consecutive interior angles are supplementary, then the **lines** are **parallel**. If two **lines** are **parallel** to the same **line**, then they are **parallel** to each other.

### 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.

### What is the parallel lines theorem?

If two corresponding angles are congruent, then the two **lines** cut by the transversal must be **parallel**. Similarly, if two alternate interior or alternate exterior angles are congruent, the **lines** are **parallel**.

### What are two parallel lines cut by a transversal?

If **two parallel lines** are **cut by a transversal**, then, Alternate Exterior Angles are congruent. If **two parallel lines** are **cut by a transversal**, then corresponding angles are congruent. **Two lines cut by a transversal** are **parallel** IF AND ONLY IF corresponding angles are congruent.

### What happens when a transversal crosses parallel lines?

First, if a **transversal** intersects two **parallel lines**, then the alternate interior angles are congruent. The proposition continues by stating that on a **transversal** of two **parallel lines**, corresponding angles are congruent and the interior angles on the same side are equal to two right angles.

### What happens when a transversal intersects two parallel lines?

As per the theorem, when a **transversal intersects two parallel lines**, each pair of alternate interior angles are equal. Conversely, if a **transversal intersects two lines** such that a pair of interior angles are equal, then the **two lines** are **parallel**.

### What 3 things happen when parallel lines are cut by a transversal?

Corresponding Angles are congruent. Alternate Exterior Angles are congruent. Alternate Interior Angles are congruent. Same Side Interior Angles (Consecutive Interior Angles) sum to 180 degrees.

### What is the best example of pair of lines that are parallel?

**Parallel Lines**

However, these two **lines** L and M, lying in the same plane are **parallel** if they do not meet anywhere, however far they are extended. Note that the distance between two **parallel lines** is the same everywhere. For **example** a railway track, opposite sides of a blackboard, two opposite edges of a door etc.

### Which are the parallel lines?

In geometry, **parallel lines** are **lines** in a plane which do not meet; that is, two straight **lines** in a plane that do not intersect at any point are said to be **parallel**. A **line** and a plane, or two planes, in three-dimensional Euclidean space that do not share a point are also said to be **parallel**.

### Which line in Figure 1 is a transversal line?

For two or more straight **lines**, a **transversal** is any **line** that intersects two straight **lines** at distinct points. In the following **figure**, L** _{1}** and L

_{2}are two

**lines**that a

**transversal**L cuts. Here, the L

**line**is known as the transverse

**line**.

### What are the main parts of a parallel line?

**Parallel lines** are **lines** in the same plane that do not intersect. **Line** segments and rays that are **parts** of **parallel lines** are also **parallel**.

### How do you solve a transversal line?

### What are the angles between the two parallel lines?

Answer. Answer: the **angle between parallel lines** is undefined, or it can be either 0 or 180 degrees, or any multiple of 180 degrees.

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