Draw Shapes Worksheets Grade 7

Geometry

Given Conditions

Each printable worksheet below is a full page of practice problems and comes with an answer key that explains how to solve every problem, step by step. Open a worksheet and use the Print / Save as PDF button to download it.

Worksheet 1

8 problems
  1. Noah is drawing a quadrilateral on a coordinate grid. The vertices are located at A(7, 1), B(13, 1), C(16, 10), and D(10, 10). Draw this quadrilateral and determine its shape. What is the area of this quadrilateral?
  2. Hana is designing a triangular flag for her school's sports day. She has three wooden rods to use as the sides of the flag. The rods measure 24 centimeters, 30 centimeters, and 36 centimeters. Hana wants to draw the triangle on a large piece of paper first to plan the design. She knows she can draw a triangle if the side lengths satisfy a specific rule. Based on the side lengths, can Hana draw a triangle? Explain why or why not.
  3. Emma is designing a triangular garden with sides of 15 meters, 20 meters, and 25 meters. She wants to plant flowers along the entire perimeter and place a decorative fountain at a point that is equidistant from all three vertices of the triangular garden. How many meters is the fountain from each vertex of the garden?

…and 5 more problems

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Worksheet 2

8 problems
  1. Noah is drawing a quadrilateral with the following conditions: one side is 13 cm, the opposite side is 18 cm, and both of the other two sides are 22 cm each. He also draws one diagonal connecting the ends of the 13 cm and 18 cm sides, which measures 24 cm. What is the perimeter of this quadrilateral?
  2. Matiu is designing a triangular banner for the school fair. The triangle has side lengths of 14 cm, 14 cm, and 16 cm. He needs to draw the banner exactly to scale on a poster. What type of triangle by side length is Matiu's banner?
  3. Sophia is drawing a quadrilateral for her art project. She wants the shape to have two pairs of parallel sides, with side lengths of 18 cm and 24 cm, and two angles that are each 75 degrees. What type of quadrilateral must Sophia draw to meet all these conditions?

…and 5 more problems

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Worksheet 3

5 problems
  1. Draw a triangle with sides 13 cm, 14 cm, and 15 cm. What is the perimeter of this triangle in centimeters?
  2. Draw a quadrilateral with sides 8 cm, 12 cm, 8 cm, and 12 cm, and one right angle.
  3. A rectangular garden has a length of 12500 cm and a width of 8000 cm. The owner wants to divide it into square plots of the largest possible equal size without any leftover space. What is the side length, in centimeters, of each square plot?

…and 2 more problems

Open & Print Worksheet 3

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