# Characteristics of isosceles trapezoid

Ads by Google

### 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**and L**_{1}_{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.