Geometry TEKS math worksheets
36 of 42 Geometry student expectations with a printable sheet · Ages 14–16
The wording beside each code is our own short summary of what the student expectation asks for, not its official text. For that, see Texas Administrative Code Chapter 111.
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.8B
Apply the geometric mean when an altitude is drawn to the hypotenuse.
- 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 centered 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.5C — Use constructions to make conjectures about geometric relationships.
Construction first, conjecture second — see G.5B.
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.