Question

prepare for transformations in the coordinate plane
① think about what you know about geometric figures and vertices. fill in each box. use words, numbers, and pictures. show as many ideas as you can.
what is it?
what i know about it
vertex
examples
non - examples
② how many vertices does each figure have?

Explanation:

Step1: Define a vertex

A vertex is a point where two or more line - segments or edges meet in a geometric figure. It is a corner point.

Step2: List what is known about vertices

Vertices are used to define the shape of a geometric figure. The number of vertices can help classify polygons. For example, a triangle has 3 vertices, a quadrilateral has 4 vertices.

Step3: Provide examples of vertices

In a square, the 4 corner points are vertices. In a triangle, the 3 corner points are vertices. In a pentagon, the 5 corner points are vertices.

Step4: Provide non - examples of vertices

The mid - point of a single line segment is not a vertex. The smooth curve of a circle has no vertices as there are no corner points.

Step5: Count vertices of given figures

For a rectangle, it has 4 vertices. For an octagon, it has 8 vertices. For a circle, it has 0 vertices.

Answer:

1.
What is it? A point where two or more line - segments or edges meet in a geometric figure.
What I know about it? Used to define shape, number helps classify polygons.
Examples: Corners of a square, triangle, pentagon.
Non - Examples: Mid - point of a line segment, points on a circle's curve.

1. Rectangle: 4 vertices. Octagon: 8 vertices. Circle: 0 vertices.