Two angles are a linear pair. One angle measures 3x + 15 degrees and the other measures 153°. Find x and the unknown angle.
Show reasoning / computation: __________________________________________
Grade 7 geometry · 7.G.A.1–A.3 · 7.G.B.4–B.6
Free 7th Grade Geometry Worksheets
Generate diagram-first Grade 7 geometry practice for scale drawings, triangle construction, cross sections, circles, angle relationships, composite area, and right-prism surface area and volume. Fresh seeds, optional answer keys, and Letter/A4 PDFs are built in.
Preview · US Letter
Grade 7 Geometry Review
Diagrams are part of the problem data, not decorative assets. Student pages keep solution-specific marks hidden; reveal answers or use the separate PDF key to check work.
Problem 1
Problem 2
The original drawing uses 1 cm = 4 ft and measures 5 cm by 2 cm. Reproduce it using 1 cm = 8 ft. What should the new drawing dimensions be?
Show reasoning / computation: __________________________________________
Problem 3
A right triangular prism has an isosceles triangular base with base 4 in, height 4 in, equal sides 4.47 in, and prism length 7 in. Find volume and surface area.
Show reasoning / computation: __________________________________________
Problem 4
A triangular prism with a triangular base 9 cm wide and 7 cm high and prism length 10 cm is sliced by a plane perpendicular to the triangular bases and parallel to the prism length. What 2D cross-section is formed?
Show reasoning / computation: __________________________________________
Problem 5
A circle has radius 5 cm. Find both circumference and area using π exactly.
Show reasoning / computation: __________________________________________
Problem 6
A triangle is specified by side lengths 5 cm, 5 cm, and 12 cm. Classify the construction as unique, more than one triangle, or impossible.
Show reasoning / computation: __________________________________________
Problem 7
A rectangular scale drawing is 6 cm by 5 cm. The scale is 1 cm = 5 ft. Find the actual dimensions and area.
Show reasoning / computation: __________________________________________
Problem 8
A rectangle 7 m by 4 m has a triangle attached along its 7-m side. The triangle height is 4 m. Find the total area.
Show reasoning / computation: __________________________________________
Focused Grade 7 practice
Open one geometry skill directly
Scale drawings: lengths & areas →
Generate Grade 7 scale-drawing worksheets for actual lengths, dimensions, and areas, with mathematically consistent diagrams, answer keys, and printable PDFs.
7.G.A.1
Reproduce a scale drawing →Create Grade 7 worksheets for reproducing a scale drawing at a different scale by preserving the actual dimensions and calculating new drawing dimensions.
7.G.A.1
Constructing triangles →Generate Grade 7 triangle-construction worksheets with valid side sets, SAS, AAA multiple-solution cases, impossible triangle inequalities, and answer keys.
7.G.A.2
Cross sections of 3D figures →Generate Grade 7 cross-section worksheets for prisms, pyramids, and cubes with clearly indicated slice planes and checked 2D cross-section answers.
7.G.A.3
Circle area & circumference →Generate Grade 7 circle worksheets for radius, diameter, circumference, area, and missing dimensions, with either exact π answers or π ≈ 3.14.
7.G.B.4
Angle relationships & equations →Generate Grade 7 vertical, complementary, supplementary, and linear-pair angle equation worksheets with consistent diagrams, integer solutions, and answer keys.
7.G.B.5
Composite area →Generate Grade 7 composite-area worksheets using L-shapes and rectangle-plus-triangle figures, with dimension-matched diagrams and exact area keys.
7.G.B.6
Surface area & volume of right prisms →Generate Grade 7 right-prism volume and surface-area worksheets using rectangular and triangular prisms with checked dimensions and printable answer keys.
7.G.B.6
Coverage map
How this library maps to Grade 7 Geometry
7.G.A.1 — scale drawings
Solve for actual lengths and areas, then reproduce the same object under a different drawing scale.
7.G.A.2–A.3 — construct & slice
Classify triangle constructions as unique/multiple/impossible and identify plane sections of 3D figures.
7.G.B.4–B.6 — measure & solve
Use circle formulas, angle relationships, composite-area reasoning, and right-prism surface area/volume.
Return to the Grade 7 umbrella hub for 7.RP, 7.NS, 7.EE, and 7.G.
Proportional reasoning →Use scale-factor and rate foundations before scale-drawing problems.
Expressions & equations →Review solving linear equations before angle-equation practice.
All math generators →Open the full worksheet generator library and prerequisites.
Frequently asked questions
Which Grade 7 geometry standards are covered?
This cluster targets 7.G.A.1–A.3 and 7.G.B.4–B.6: scale drawings, triangle construction, cross sections, circles, angle relationships, composite area, and right-prism surface area/volume.
Are the diagrams generated from the math?
Yes. Dimension-driven diagrams use the same values as the calculations. Perspective solids and angle sketches are explicitly treated as schematics when exact visual scale could mislead or reveal the answer.
Can circle answers use exact π?
Yes. Choose exact π or π ≈ 3.14. The choice is preserved in the worksheet link and used consistently in the answer key.
Do the PDFs include answer keys?
Yes, when answer keys are enabled. Geometry student pages and key pages are separated, and the same seed reproduces the same problem set.