Combining and Subdividing Polygons Worksheets

This shape was cut on the dotted line.

What two shapes were formed?

• rectangle and rhombus

• 2 squares

• rectangle and square

• 2 rectangles

The following shape was cut along the dotted line.

What shapes are formed after cutting?

• 2 triangles

• 2 rectangles

• a triangle and a square

• a square and a rectangle

Which polygon is created when these polygons are combined?

• 
• 
• 
• 

Which correctly lists the polygons that are created when this heptagon is subdivided?

• triangle, pentagon, quadrilateral

• pentagon, hexagon, triangle

• triangle, triangle, quadrilateral

• quadrilateral, quadrilateral, triangle

Jasiah cut this polygon apart. What polygons did she not create when she subdivided it?

• pentagon

• triangle

• quadrilateral

• hexagon

Here are two triangles and a quadrilateral. If you side them together, what new polygon would you create?

• pentagon

• rectangle

• hexagon

• octagon

A number of coplanar line segments, each connected end to end to form a closed shape

• Polygon

• Polyhedron

• Triangle

• Rectangle

Which statement best describes the characteristics of the shapes that are being combined?

• Two acute triangles combine to form a square with four congruent sides and four right angles.

• One obtuse triangle and one right triangle combine to form a rhombus with four congruent sides and opposite angles congruent.

• Two acute triangles combine to form a rhombus with four congruent sides and opposite angles congruent.

• Two right triangles combine to form a rhombus with four congruent sides and opposite angles congruent.