# Properties of the isosceles trapezoid

Last updated: June 13, 2021 | Author: Jamie Runyon

### What is special about an isosceles trapezoid?

A **isosceles trapezoid** has the following **unique** Properties: A pair of parallel sides. Base angles are congruent. The legs are congruent.

### What makes a trapezoid an isosceles trapezoid?

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

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

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

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

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

### Is a trapezoid always isosceles?

A **Isosceles trapezoid is a trapezoid** where the non-parallel sides are congruent. Theorem: The base angles of an **isosceles trapezoid** are congruent. The reverse is also true: if a **trapeze** has congruent base angles, then it is a **isosceles trapezoid**.

### How do you prove an isosceles trapezoid?

**one way to prove that a square is one isosceles trapezoid should show:**

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

**diagonals** are congruent.

### What is the maximum number of right angles that an isosceles trapezoid can have?

Explanation: a **can have trapeze** either 2 **right angle**or no **right angle** at all.

### How do you prove parallels?

If two **lines** are intersected by a transversal so that the alternating exterior angles are congruent, then the **lines** are **parallel**. If two **lines** are intersected by a transverse line so that the successive 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 the five ways to prove that 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 complementary.
- Show that consecutive exterior angles are complementary.
- On an airplane, show that the
**lines**are perpendicular to the same line.

### What is the set of parallel lines?

If two corresponding angles are congruent, then the two **lines** must be cut through the cross **parallel**. Likewise, if two alternating interior or alternating exterior angles are congruent, the **lines** are **parallel**.

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

if **two parallel lines** are **cut across**, then the alternative exterior angles are congruent. if **two parallel lines** are **cut across**then corresponding angles are congruent. **Two lines intersected by a transverse line** are **parallel** IF AND ONLY IF corresponding angles are congruent.

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

First, if a **across** cuts two **parallel lines**, then the alternating interior angles are congruent. The theorem continues by stating that on a **across** 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?

According to the theorem, if a **transversely intersects two parallel straight lines**, each pair of alternating interior angles is equal. Conversely, if a **transversely intersects two straight lines** so that a pair of interior angles are equal, then the **two lines** are **parallel**.

### What 3 things happen when parallel lines are intersected by a transverse line?

Corresponding angles are congruent. Alternate exterior angles are congruent. Alternate interior angles are congruent. Equilateral interior angles (consecutive interior angles) add up to 180 degrees.

### What is the best example of parallel line pairs?

**parallel lines**

However, these two **lines** L and M lying in the same plane are **parallel** when they meet nowhere, no matter how far they extend. Note that the distance between two **parallel lines** is the same everywhere. To the **example** a track, opposite sides of a panel, two opposite edges of a door, etc.

### Which are the parallel lines?

in geometry, **parallel lines** are **lines** in a plane that does not meet; that is, two straight **lines** lie in a plane that does not intersect at any point **parallel**. A **line** and a plane or two planes in three-dimensional Euclidean space that have no point in common are also said to be **parallel**.

### Which line in figure 1 is a transverse line?

For two or more straight **lines**a **across** is arbitrary **line** that just intersects two **lines** in prominent places. Hereinafter **Number**l**1** and L2 are two **lines** the existence **across** L cuts. Here the L **line** is called transversal **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** from **parallel lines** are also **parallel**.

### How do you solve a cross line?

### What are the angles between the two parallels?

Answers. answer the **Angles between parallel lines** is undefined or can be either 0 or 180 degrees or any multiple of 180 degrees.