Geometry TEKS Test Review Summary

Key Geometry Concepts

• Types of Points

  • Collinear points: points all on the same line

  • Non-collinear points: points not on the same line

• Angle Relationships

  • Adjacent angles: share a common side and vertex

  • Vertical angles: opposite angles formed by two intersecting lines

  • Supplementary angles: sum to 180°

  • Complementary angles: sum to 90°

  • Linear pair: two adjacent angles whose non-common sides are opposite rays

  • Right angle: measures exactly 90°

  • Acute angle: measures less than 90°

  • Obtuse angle: measures more than 90° but less than 180°

• Prism Properties

  • Parallel segments and skew lines

  • Coplanar segments

• Logical Statements

  • Converse: reverses the hypothesis and conclusion

  • Inverse: negates both the hypothesis and conclusion

  • Contrapositive: negates both parts and reverses them

• Triangle Properties

  • At least one angle measure determines the type (acute, obtuse, right)

  • Angle measures and side lengths are related through similarity and congruence

• Transformations

  • Understand translations, reflections, and rotations

  • Congruent parts post-transformation

• Congruence Conditions

  • SSS: side-side-side

  • SAS: side-angle-side

  • ASA: angle-side-angle

• Similarity Postulates

  • AA, SAS, or SSS for triangles

• Scaling and Proportions

  • Finding scale factors from similar triangles

• Poles and Shadows Problem

  • Proportions used to estimate height based on similar triangles in shadow lengths