Geometry Common Core worksheets

Describe the rotations and reflections that carry a figure onto itself.

Partial Gives the order of rotational symmetry. Does not ask for the reflections.

Draw the image of a figure under a given transformation.

Partial Finds where a point lands under a translation, reflection or rotation. Does not draw the whole figure or give a sequence of moves.

Show that congruent triangles have congruent corresponding parts.

Prove theorems about triangles.

Prove theorems about parallelograms.

Make formal geometric constructions.

Construct an equilateral triangle, a square and a hexagon in a circle.

Verify the properties of a dilation.

Prove theorems about triangles using similarity.

Use congruence and similarity criteria to solve problems and prove relationships.

Define the trigonometric ratios from similarity of right triangles.

Use the relationship between the sine and cosine of complementary angles.

Use trigonometric ratios and the Pythagorean theorem in right triangles.

Identify relationships among inscribed angles, radii and chords.

Partial Relates inscribed and central angles. Does not cover chords or radii.

Construct the inscribed and circumscribed circles of a triangle.

Derive arc length and sector area as proportional to the radius.

Derive the equation of a circle and complete the square to find its center.

Derive the equation of a parabola from its focus and directrix.

Use the slope criteria for parallel and perpendicular lines.

Find the point that partitions a segment in a given ratio.

Compute perimeters and areas using coordinates.

Partial This sheet asks for perimeters. Area from coordinates is the page beside it.

Use volume formulas for cylinders, pyramids, cones and spheres.

Identify cross-sections of solids and solids of revolution.

Partial Identifies cross-sections cut parallel to a face. Does not cover solids of revolution.

Apply density concepts based on area and volume.

Partial Uses density per unit area. Does not use density per unit volume.

Describe events as subsets of a sample space.

Understand independence through the product rule.

Understand conditional probability and independence.

Partial Computes a conditional probability. Does not test for independence.

Build and interpret two-way tables of data as a sample space.

Partial Fills a two-way table's gaps and reads a percent of a row. Does not use the table to decide independence.

Find a conditional probability as a fraction of outcomes.

Apply the Addition Rule.