Transformations and proof
- rigid motions
- congruence
- logical arguments
- constructions
Grade 10 / Geometry · typical sequence
Grade 10 geometry pathway
Develop geometric reasoning, proof, similarity, coordinate methods, circles, and measurement modeling.
Similarity and right-triangle trigonometry
- similarity
- Pythagorean relationships
- sine cosine tangent
Coordinate geometry, circles, and measurement
- coordinate proofs
- circle theorems
- area
- volume
Practice inventory
18 deterministic activities are available now.
Use segment addition
Use betweenness and addition to connect two adjacent lengths with the complete segment.
Reason with a transversal
Distinguish congruent angle pairs from supplementary same-side pairs.
Find a missing triangle angle
Connect the three interior angles of a triangle to a total of 180 degrees.
Choose a congruence criterion
Decide whether marked side and angle information proves SSS, SAS, ASA, AAS, or HL.
Choose a valid proof reason
Select a precise justification for a step rather than relying on appearance.
Find a polygon angle sum
Use a triangulation from one vertex to explain the interior-angle sum formula.
Dilate a coordinate point
Multiply both coordinates by the same scale factor and interpret the image point.
Find a corresponding side
Match corresponding sides before applying one common scale factor.
Name a trigonometric ratio
Identify opposite, adjacent, and hypotenuse relative to a marked acute angle.
Find a side with trigonometry
Choose the ratio that connects the known side to the requested side.
Find coordinate distance
Treat horizontal and vertical changes as legs of a right triangle.
Find a segment midpoint
Find the coordinate halfway between each pair of endpoint coordinates.
Write a perpendicular line
Use a negative reciprocal slope and verify that the new line passes through the given point.
Find an arc length
Use the central-angle fraction of a full circle to scale its circumference.
Find an inscribed angle
Recognize that an inscribed angle measures half its intercepted arc.
Read a circle equation
Interpret signed binomials and the squared radius in standard circle form.
Find a solid volume
Use dimensions and the appropriate cylinder or cone formula while preserving exact pi.
Scale the volume of a solid
Cube a linear scale factor because three independent dimensions are changing.