Constructions and Conjectures
Use compass-and-straightedge constructions to explore attributes of figures and make conjectures.


Work through official released questions with their original diagrams, answer choices, and griddable responses. TEA's answer keys determine every score. Each tested standard also has a lesson with instruction, a worked example, practice, and videos.
Algebra II and Geometry are not among Texas's five current required STAAR EOC assessments. These official 2013 releases predate the newer online player, so their original multiple-choice and griddable formats are preserved rather than replaced with invented interactive item types.
52 official items · 31 original figures · 5 griddable responses
Practice gives feedback after each item. The full test works like the real one: answers stay hidden until you submit, then you get a score report by topic. Answers are scored from TEA's key. TEKSForge wrote the step-by-step and distractor explanations because this archived release does not include item rationales.
The labels below reproduce the standards and readiness classifications in TEA's 2013 key.
Use compass-and-straightedge constructions to explore attributes of figures and make conjectures.
Make and test conjectures about angles, lines, polygons, and circles.
Determine the validity of a conditional statement and its converse, inverse, and contrapositive.
Draw valid conclusions from angle relationships in similar triangles.
Use examples and counterexamples to evaluate conditional statements.
Use patterns and inductive reasoning to formulate and test conjectures.
Use deductive reasoning, including chains of conditionals, to prove statements.
Select a pictorial, verbal, or symbolic representation to solve geometry problems.
Use numeric and geometric patterns to write algebraic expressions.
Use patterns to generalize properties of polygons, including exterior angles.
Apply properties of transformations, including rotations, to real-world layouts.
Apply special right triangles and trigonometric ratios, including angles of elevation and depression.
Describe the intersection of a plane with three-dimensional figures.
Use nets to represent and construct three-dimensional figures.
Use front, side, and top views to represent and build three-dimensional figures.
Use coordinates to analyze perpendicular bisectors.
Use slopes to identify parallel and perpendicular lines and their equations.
Use distance, midpoint, and slope formulas to find lengths and points on lines.
Find areas of regular polygons, circles, and composite figures.
Use proportional reasoning to find arc lengths and sector areas.
Use the Pythagorean theorem to find unknown lengths in context.
Calculate surface area and volume for three-dimensional figures in context.
Use area models to find probabilities.
Test conjectures about angles and arcs formed by lines that intersect circles.
Analyze the faces, edges, and vertices of polyhedra.
Identify and describe congruence transformations on the coordinate plane.
Justify and apply triangle congruence relationships.
Describe how dilations change lengths while preserving angle measures.
Use ratios to solve problems involving similar figures.
Use trigonometric ratios and similar-triangle proportions to determine unknown side lengths.
Relate linear scale factors to changes in perimeter, area, and volume.