Grade 7 Geometry Worksheets
Free printable geometry practice for Grade 7 students. Generate problems, solve them on screen or paper, and download as PDF.
Practice Worksheet
Grade 7 Geometry Practice
Solve each problem. Show your work.
- 1.Two angles form a straight line. One angle is 118°. Find the other angle.
- 2.Reflect the point (-4, 0) across the y-axis. Give the new coordinates.
- 3.What is the sum of the interior angles of a 8-sided polygon?
- 4.Two angles form a straight line. One angle is 122°. Find the other angle.
- 5.Reflect the point (1, 7) across the y-axis. Give the new coordinates.
- 6.What is the sum of the interior angles of a 9-sided polygon?
Show answer key
- Question 1: 62°
- Question 2: (4, 0)
- Question 3: 1080°
- Question 4: 58°
- Question 5: (-1, 7)
- Question 6: 1260°
Free Practice Worksheets
Print, solve on paper, then upload a photo for instant AI grading and feedback.
Build confidence with approachable problems
Solve each problem. Take your time.
- 1.Calculate the area of a triangle with a base of 8 cm and a height of 5 cm. (Area = 1/2 * base * height)
- 2.Find the missing angle x in a triangle where the other two angles are 60 degrees and 70 degrees.
- 3.Determine the surface area of a rectangular prism with a length of 4 cm, a width of 3 cm, and a height of 2 cm. (Surface Area = 2(lw + lh + wh))
- 4.A point at (2, 3) is translated 4 units to the right and 2 units up. What are the new coordinates?
- 5.If two angles are supplementary and one angle measures 110 degrees, what is the measure of the other angle?
- 6.Find the volume of a rectangular prism with a length of 5 cm, a width of 4 cm, and a height of 3 cm. (Volume = l * w * h)
Full range of grade expectations
Solve each problem. Show your work.
- 1.A triangle has a base of 12 cm and a height of 7 cm. What is the area of the triangle?
- 2.Find the missing angle measure in a triangle if two of the angles are 45 degrees and 65 degrees.
- 3.A point at (3, 4) on a coordinate plane is reflected across the x-axis. What are the coordinates of the new point?
- 4.A rectangular prism has a length of 5 cm, a width of 3 cm, and a height of 4 cm. What is the total surface area of the prism?
- 5.A circular garden has a radius of 7 meters. If you want to put a fence around the entire garden, how many meters of fencing do you need? (Use 3.14 for pi)
- 6.A scale drawing of a house uses a scale of 1 inch = 5 feet. If the living room in the drawing is 4 inches long, what is the actual length of the living room in feet?
What Your Child Will Learn
Grade 7 geometry introduces the concept of similarity in depth, with students comparing shapes that have proportional side lengths and equal corresponding angles. This connects geometry directly to the proportional reasoning students are developing in number strand work, as students calculate missing side lengths in similar figures using scale factors and ratios.
Students also explore the properties of circles further, deriving and applying the relationship between circumference, diameter, and the constant pi, and calculating the area of a circle. Angle relationships expand to include angles formed by parallel lines cut by a transversal, such as alternate and corresponding angles. Three-dimensional reasoning grows through calculating the surface area and volume of triangular prisms and other composite solids, connecting geometry to the measurement strand.
Skills Covered
- Identifying similar figures and calculating missing sides using scale factor
- Applying the relationship between circumference, diameter, and pi
- Calculating the area of a circle
- Identifying angle relationships formed by parallel lines and a transversal
- Calculating surface area and volume of triangular prisms
- Solving problems involving composite (combined) solids
Curriculum Aligned: Aligned with Strand E (Spatial Sense): investigating similarity, circle relationships, and the surface area and volume of three-dimensional figures.
Parent Tip: Scale drawings are a great way to connect similarity to real life — resize a favourite photo or map by a given scale factor and check that the proportions match what your child calculated.
What your child will practice
Practice core geometry skills aligned with Grade 7 curriculum standards, including problem-solving and conceptual understanding.
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Check my workFrequently Asked Questions
Why is geometry important in math?
Geometry develops spatial reasoning, logical thinking, and proof skills. It connects math to the physical world through shapes, measurements, and transformations.
How can I support geometry learning at home?
Build with blocks, identify shapes in the environment, measure rooms, and use drawing tools. Hands-on activities make geometry concepts concrete.
What geometry topics are covered in each grade?
K-2: identifying shapes and their properties. Grades 3-5: area, perimeter, angles. Grades 6-8: coordinate geometry, transformations, volume. Grades 9-12: proofs, trigonometry, circles.