Geometry TEKS math worksheets
33 of 42 Geometry student expectations with a printable sheet · Ages 14–16
Coordinate and transformational geometry
- G.2A
Find the point a given fractional distance along a segment.
- G.2B
Use the distance, slope and midpoint formulas to verify geometric relationships.
- G.2C
Find the equation of a line parallel or perpendicular to a given line through a point.
- G.3A
Describe and perform transformations using coordinate notation.
- G.3B
Find the image or pre-image under a composition of transformations.
Partial Applies one transformation. Does not compose two.
- G.3C
Identify the sequence of transformations carrying a pre-image onto an image.
Partial Applies a named transformation. Does not ask which sequence was used.
- G.3D
Distinguish reflectional from rotational symmetry in a plane figure.
Logical argument and constructions
Proof and congruence
- G.6A
Verify theorems about vertical angles and angles on parallel lines.
- G.6B
Prove two triangles congruent by SAS, ASA, SSS, AAS and HL.
- G.6C
Apply the definition of congruence in terms of rigid transformations.
- G.6D
Verify theorems about triangles, including the Pythagorean theorem and midsegments.
- G.6E
Prove a quadrilateral is a parallelogram, rectangle, square or rhombus.
Similarity, proof, and trigonometry
- G.7A
Apply the definition of similarity in terms of a dilation.
- G.7B
Apply the Angle-Angle criterion and the proportionality of corresponding sides.
- G.8A
Prove theorems about similar triangles, including Triangle Proportionality.
- G.9A
Use sine, cosine and tangent to find sides and angles in a right triangle.
- G.9B
Apply the 30-60-90 and 45-45-90 relationships and Pythagorean triples.
Partial Uses the trigonometric ratios on any right triangle. Does not treat the two special triangles as a shortcut.
Two-dimensional and three-dimensional figures
- G.10A
Identify cross-sections of solids and solids generated by rotations.
- G.10B
Describe how changing a linear dimension affects perimeter, area and volume.
Partial Applies the dilation to a figure. Does not ask how the area or volume scales with it.
- G.11A
Apply the formula for the area of a regular polygon.
Partial Finds the area of triangles and quadrilaterals. Does not use the apothem formula for a regular polygon.
- G.11B
Determine the area of composite figures, including sectors of circles.
- G.11C
Apply the total and lateral surface area formulas for three-dimensional figures.
- G.11D
Apply the volume formulas for prisms, pyramids, cones, cylinders and spheres.
Circles
- G.12A
Apply theorems about angles, radii, chords, tangents and secants.
Partial Relates inscribed and central angles. Does not cover chords, tangents or secants.
- G.12B
Apply the proportional relationship between arc length and circumference.
- G.12C
Apply the proportional relationship between sector area and circle area.
- G.12D
Describe radian measure as the ratio of arc length to radius.
- G.12E
Show that a circle centred at the origin has the equation x² + y² = r².
Probability
Not a worksheet
These expectations have no sheet, for two different reasons. Listing them is the point — a catalog that showed only the hits would say this grade is fuller than it is.
G.4A — Distinguish undefined terms, definitions, postulates, conjectures and theorems.
Naming the parts of a deductive system. It is vocabulary about proof rather than a question with an answer to work out.
G.4B — Determine the validity of the converse, inverse and contrapositive of a statement.
Formal logic on conditional statements. The engine's reasoning types argue about mathematics, not about the form of a sentence.
G.4D — Compare Euclidean and spherical geometry.
Spherical geometry. Nothing the engine draws leaves the plane.
G.5A — Investigate patterns to make conjectures about geometric relationships.
Forming the conjecture is the expectation; a sheet can only ask about one that is already stated.
G.5B — Construct segments, angles, bisectors and perpendiculars with compass and straightedge.
Straightedge-and-compass construction. The sheet can print the task and cannot mark the arcs.
G.5C — Use constructions to make conjectures about geometric relationships.
Construction first, conjecture second — see G.5B.
G.8B — Apply the geometric mean when an altitude is drawn to the hypotenuse.
The altitude-to-hypotenuse relationships. No worksheet type draws that configuration.
G.13A — Use permutations and combinations to solve contextual problems.
Permutations and combinations. The engine's counting sheet uses the multiplication principle and never nPr or nCr.
G.13B — Determine probabilities based on area.
Geometric probability — a ratio of two areas. No worksheet type draws the target-within-a-region figure it needs.