Geometry Worksheets

Describe where an object is in relation to the box using position words: above, below, beside, next to, in front of, and behind.

Read the shape name and color the matching shape from four choices.

Describe objects in the environment using names of shapes: name the shape of a clock, a window, a door, a slice of pizza, and more.

Circle the name of each 3D solid (cube, sphere, cone, cylinder, rectangular prism, pyramid) from three choices.

Decide whether each shape is two-dimensional (flat) or three-dimensional (solid).

Count the sides and corners of a flat shape. Shapes appear in different sizes and turns, so the count comes from looking, not from recognising one canonical picture.

Join dots to make a shape, or draw a shape from the number of sides and corners it has.

See which smaller shapes join to make a larger shape, then circle its name (a square is made of 2 triangles).

Sort a set of 2-D shapes into bins by a defining attribute — number of sides, curved vs straight, or square corners. The same shape appears in different sizes and turns, so the sort depends on the attribute, not the look.

Name a flat shape, then count its sides and corners. Shapes appear in different sizes and turns, so the answer comes from looking, not from recognising one picture.

Name a solid, then count its faces, edges and vertices. Recognising the solid comes first; counting its parts is what makes it that solid.

A real-life picture — a house, a rocket, a boat — is put together from flat shapes; count how many of each shape built it.

A structure built from solid blocks (cubes, rectangular prisms, cones, cylinders); count how many of each solid.

See which smaller shapes join to make a larger one, then circle its name. Uses the shapes grade 1 adds beyond Kindergarten: trapezoids, half-circles and quarter-circles.

Partition circles and rectangles into 2 or 4 equal shares; name the shares (halves, fourths/quarters) and count how many make the whole.

Recognize, name, and draw triangles, quadrilaterals, pentagons, and hexagons by their number of sides and angles — and identify a cube by its 6 equal square faces.

Partition a rectangle into rows and columns of same-size squares and count the total number of squares.

Partition circles and rectangles into 2, 3, or 4 equal shares and name them as halves, thirds, or fourths — and tell equal parts from unequal parts.

All the equal shares together make one whole: two halves, three thirds, or four fourths make one whole.

Equal shares of the same whole can look different but still be the same size — different-looking halves and fourths.

Find the area of a figure by counting the unit squares that cover it, measured in square units — the idea behind the area formula.

Find the area of a rectangle by multiplying length times width with whole-number side lengths.

Add up the side lengths of a rectangle or square (whole-number sides) to find its perimeter.

Recognize and name quadrilaterals — square, rectangle, rhombus, parallelogram, trapezoid — and tell whether a shape is a quadrilateral.

Partition a shape into equal parts and name the area of each part as a unit fraction of the whole shape.

Solve real-world problems with the area and perimeter formulas for rectangles: find the area from the side lengths, or work backward to a missing side - for example, find the width of a room from its floor area and its length, by reading A = l x w as a multiplication equation with an unknown factor.

An angle is measured against a circle: a full turn is 360 degrees, so an angle that turns through a fraction of a circle is that same fraction of 360 degrees. Convert between a fraction of a circle and degrees.

Use a protractor to measure an angle in whole degrees and to sketch an angle of a given measure; also classify angles as acute, right, obtuse, or straight.

Angle measure is additive: when an angle is broken into non-overlapping parts, the whole equals the sum of the parts. Find a missing angle from a diagram and write an equation.

Name the basic figures of geometry - point, line, line segment, ray, right/acute/obtuse angle, parallel and perpendicular lines - then find them inside two-dimensional figures and use them to classify shapes (4.G.A.2).

Classify two-dimensional figures by whether they have parallel or perpendicular sides, and recognise right triangles as their own category.

Decide whether a dashed line is a line of symmetry, or count how many lines of symmetry a figure has.

Recognize volume as an attribute of solid figures: a unit cube has one cubic unit of volume, and a solid packed with n unit cubes has a volume of n cubic units.

Relate volume to multiplication and addition: pack a prism to see V = l × w × h = b × h, apply the formula in real-world problems, and add the volumes of composite solids.

Find volumes of rectangular prisms inside real situations (5.MD.C.5).

Use a pair of perpendicular axes to locate points in the first quadrant: the first number tells how far to go right along the x-axis, the second how far up the y-axis.

Graph and interpret points in the first quadrant in real-world contexts — read a location as an ordered pair and tell what each coordinate means.

Understand that a property of a category of 2D figures belongs to every subcategory: e.g., squares are rectangles, so all squares have four right angles.

Classify two-dimensional figures in a hierarchy based on their properties — give the most specific name for a quadrilateral from its properties.

Find the area of a triangle given its base and height using A = 1/2 b h.

Find the area of parallelograms (A = b h) and trapezoids (A = 1/2 (b1 + b2) h).

Find the total area of composite shapes built from rectangles, triangles, and half-circles by decomposing them.

Find the volume of a right rectangular prism whose edges are fractions or mixed numbers — by packing it with unit-fraction cubes, and with V = lwh and V = Bh.

Use the coordinates of a polygon’s vertices to find side lengths, perimeter and area — including sides that cross an axis.

Use coordinates, side lengths, and areas of polygons to answer real-world questions (6.G.A.3).

Find the total surface area of rectangular prisms and cylinders using nets and area formulas.

Use a scale to find actual lengths, perimeters and areas from a scale drawing, and redraw a figure at a different scale.

Given three sides, three angles, or two sides and an angle, decide whether the conditions give exactly one triangle, more than one, or none at all.

Name the two-dimensional shape produced by slicing a right rectangular prism or pyramid, parallel to the base or vertically.

Find the circumference of a circle from its radius or diameter using C = 2 pi r.

Find the area of a circle from its radius or diameter using A = pi r^2.

Use complementary (sum 90) and supplementary (sum 180) angle relationships to find an unknown angle measure.

Multi-step real-world problems on objects composed of several shapes — an L-shaped plot, a triangular prism, a room to paint — including the cost or quantity the answer is really for.

A figure and its image are shown after a translation, reflection or rotation. Decide what is preserved — side lengths, angle measures and parallel sides — and what only changes position.

Two congruent figures are drawn on a grid. Describe a transformation that maps one onto the other, and explain how the rigid motion proves the figures are congruent.

Apply a translation, reflection or rotation to a figure on the coordinate plane and write the coordinates of the image. The figure is drawn on a labeled grid; the rule is stated in words.

A figure is dilated about the origin. Find the scale factor or the coordinates of the image, and explain why a dilation produces a similar — not congruent — figure.

Find a missing angle and give the reason: the angle sum of a triangle, the exterior angle, the angles made when parallel lines are cut by a transversal, and the AA test for similar triangles.

Understand a squared plus b squared = c squared as a statement about the areas of squares on the sides, and use the converse to test whether a triangle is right-angled.

Use a^2 + b^2 = c^2 to find a missing side (the hypotenuse or a leg) of a right triangle.

Use a^2 + b^2 = c^2 to find a missing leg given the hypotenuse and one leg.

Find the distance between two points on the coordinate plane by making a right triangle from the coordinate differences and applying the Pythagorean theorem.

Find the volume of cylinders (pi r^2 h), cones (1/3 pi r^2 h), and spheres (4/3 pi r^3).