Polygons on the Coordinate Plane

Front

What is a polygon?

Back

A polygon is a closed figure formed by a finite number of straight line segments connected end to end.

Tags

CCSS.2.G.A.1

Front

What are the characteristics of a rectangle?

Back

A rectangle is a polygon with four sides, where opposite sides are equal in length and all angles are right angles (90 degrees).

Tags

CCSS.5.G.B.4

Front

How do you find the distance between two points on a coordinate plane?

Back

Use the distance formula: Distance = √((x2 - x1)² + (y2 - y1)²).

Tags

CCSS.HSG.GPE.B.7

Front

What is the perimeter of a polygon?

Back

The perimeter is the total distance around the polygon, calculated by adding the lengths of all its sides.

Tags

CCSS.3.MD.D.8

Front

What is the formula for the perimeter of a rectangle?

Back

Perimeter = 2(length + width).

Tags

CCSS.3.MD.D.8

Front

How do you identify the vertices of a rectangle on a coordinate plane?

Back

Vertices are the points where the sides of the rectangle meet, typically represented as (x, y) coordinates.

Tags

CCSS.5.G.A.1

Front

What is the length of a side of a rectangle if the coordinates of two opposite vertices are (x1, y1) and (x2, y2)?

Back

Length = |x2 - x1| or |y2 - y1|, depending on which side is being measured.

Tags

CCSS.6.G.A.3

Front

What is the significance of the coordinate plane in geometry?

Back

The coordinate plane allows for the representation of geometric shapes using pairs of numbers (coordinates) to define their positions.

Tags

CCSS.5.G.A.1

Front

How do you determine the fourth vertex of a rectangle given three vertices?

Back

Use the properties of rectangles: the fourth vertex can be found by ensuring opposite sides are equal and parallel.

Tags

CCSS.6.G.A.3

Front

What is the distance between the points (0, 6) and (0, -4)?

Back

Distance = |6 - (-4)| = 10.

Tags

CCSS.6.NS.C.8