Family Activity: Triangles and Quadrilaterals

6th - 8th

In this triangles and quadrilaterals worksheet, students solve 7 short answer problems. Students find objects around the house that are constructed from triangles, parallelograms, trapezoids, squares, rectangles. Students sketch the object on their paper.

Resource Details


Classification of Triangles

Students classify triangles. In this geometry lesson, students identify the names and properties of different triangles. They use Geometer's Sketchpad to graph and create shapes.

Investigating Properties of Parallelograms

Given different parallelograms, geometers make conjectures about their properties. They then work in small groups to prove (or disprove) their conjectures. The activity provides many opportunities for making conjectures and critiquing mathematical reasoning.  

Areas of Triangles, Parallelograms, and Trapezoids

In this area instructional activity, students find the area of triangles, parallelograms and trapezoids. This three-page instructional activity contains examples and approximately 30 problems. Answers are provided on the last page.

Marshmellow Geometry

Students explore a variety of geometric shapes, name them, and list their characteristics. The shapes are transposed into structures and checked for accuracy.

Areas of Triangles, Parallelograms, Trapezoids

Students use index cards to record and math the formulas for area of triangles, parallelograms, and trapezoids. In this area lesson plan, students also complete a worksheet provided.


In this area worksheet, students solve and complete 20 different problems that include the measurement of various figures. First, they determine the area of each of the triangles, parallelograms and trapezoids. Then, students determine the area of each of the shaded regions in the figures shown.

Does the Area of the Quadrilateral Change?

Seventh graders complete activities to further their understanding of area formulas. In this area activity, 7th graders watch as the teacher uses Polystrips to model parallelograms. Students find the area of a rectangle and answer questions about the equation. Students work as a group to solve a parallelogram problem.

 Understanding Triangles

In this understanding triangles worksheet, students read 6 pages of examples and explanations about identifying triangles, determining length of sides and degrees of angles, including the hypotenuse, then answer 28 questions, answers provided.

Finding the Area and Perimeter of Polygons

Seventh graders practice finding the area and perimeter of polygons. For this polygon area lesson, 7th graders brainstorm shapes and take a walk to locate shapes. Students record properties of shapes and use various shapes to make a polygon. Students practice finding formulas for the area of a square, rectangle, triangle, parallelogram, and trapezoid. Students complete to problems by maximizing area with a given perimeter.

Area of Parallelograms and Triangles

Students explain the formula for finding the area of a paralellogram and its relation to the area of a rectangle. Finally, they construct the formula for the area of a paralellogram.

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