Ch 6: Parallel Lines and Polygons: Homework Help

1. Angles Formed by a Transversal

Parallel lines are two lines that never touch while remaining the same distance apart, whereas a transversal is a straight line that crosses two other lines. Learn about the angles formed by a transversal intersecting parallel lines, specifically congruent angles.

2. Parallel Lines: How to Prove Lines Are Parallel

There are four ways to prove that lines are parallel, meaning that these two lines never intersect. Learn more about parallel lines and explore different types of angles such as corresponding angles, alternate exterior angles, alternate interior angles, and supplementary angles.

3. Using Converse Statements to Prove Lines Are Parallel

Converse statements are often used in geometry to prove that a set of lines are parallel. Learn about the properties of parallel lines and how to use converse statements to prove lines are parallel.

4. Constructing a Parallel Line Using a Point Not on the Given Line

Drawing a parallel line requires only two tools: a straightedge and a compass. Learn what parallel lines are, and understand the process of constructing a line with a point not on the original line.

5. The Parallel Postulate: Definition & Examples

In geometry, the parallel postulate argues that if a third line is used to connect two straight lines, and that third line creates two angles on the same side that are each less than 90 degrees, then the two straight lines will eventually intersect. Review examples and recognize why this postulate is important in geometry.

6. What Are Polygons? - Definition and Examples

Polygons are flat shapes with at least three sides. Learn the definition of a polygon, discover the differences between a regular and irregular polygon, and then explore examples of concave, convex, simple, and complex polygons.

7. Regular Polygons: Definition & Parts

Polygons are two dimensional shapes with straight sides, and regular polygons are those with all equal sides and angles. Learn the differences between regular and irregular polygons and the various parts that are used to create them.

8. How to Find the Number of Diagonals in a Polygon

A polygon has straight sides, is flat in shape, and contains diagonals. Explore the definition of a diagonal and a polygon, and learn how to use a simple formula to find the number of diagonals in a polygon.

9. Finding the Perimeter of Polygons

Finding the perimeter of polygons means that the distance that is all around the shape has to be found. Study the definition of polygons and the perimeter, and how to use a shortcut to find the perimeter for regular polygons.

10. Measuring the Area of Regular Polygons: Formula & Examples

In geometry, a polygon is any two-dimensional shape enclosed with straight lines. Explore the formula and examples for measuring the area of a regular polygon, learn about a regular polygon's sides, and review the apothem.

11. Measuring the Angles of Triangles: 180 Degrees

When measuring the angles of triangles, it is imperative to remember that all triangles have three angles that add up to 180 degrees. Learn about the three angles in a triangle and how to use a formula to find the measure of a missing angle.

12. How to Measure the Angles of a Polygon & Find the Sum

A regular polygon is a flat shape with equal sides and equal angles. Learn to identify and measure angles of a polygon including finding the sums of its interior angles, one interior angle, and exterior angles.