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Grade 6 Math Quiz: Identify the Polygon on the Coordinate Plane
Mathematics
Grade 6
Question Content
Look at the polygon with vertices A(-1,3), D(3,3), C(3,-3), B(-1,-3) on the coordinate plane. What is the name of the polygon? Options: hexagon, octagon, quadrilateral, triangle
Correct Answer
quadrilateral
Detailed Solution Steps
1
Step 1: Count the number of vertices (corner points) of the polygon from the coordinate plane. The polygon has 4 vertices: A(-1,3), D(3,3), C(3,-3), B(-1,-3).
2
Step 2: Match the number of sides to the polygon name. A polygon with 4 sides (and 4 vertices) is defined as a quadrilateral.
3
Step 3: Eliminate incorrect options: a hexagon has 6 sides, an octagon has 8 sides, and a triangle has 3 sides, so none of these match the 4-sided figure shown.
Knowledge Points Involved
1
Polygon Naming by Number of Sides/Vertices
Polygons are named based on the number of their straight sides and vertices. A triangle has 3 sides, quadrilateral has 4, hexagon has 6, and octagon has 8. This rule is used to classify and identify different polygon types in geometry.
2
Coordinate Plane Polygon Identification
When polygons are plotted on a coordinate plane, their vertices are given as ordered pairs (x,y). Counting these vertices directly tells the number of sides of the polygon, which is used to determine its name.
3
Definition of a Quadrilateral
A quadrilateral is a closed, 2-dimensional polygon with exactly 4 straight sides and 4 vertices. Common examples include squares, rectangles, parallelograms, and trapezoids, all falling under this category.
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