EST II Subject Test
Math Level 1

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Geometry and Trigonometry

  1. Inductive and deductive reasoning 

  2. Apply theorems, definitions, and axioms to solve problems and draw conclusions

  3. Interpret a mathematical proof in different forms.

  4. Properties of quadrilaterals 

  5. Use coordinate methods and geometric relationships to deduce whether two lines are about quadrilaterals.

  6. Use various methods, including SSS, SAS, ASA, AAS and HL, to deduce that triangles are congruent and corresponding parts are congruent.

  7. Use various methods including AA, SAS, and SSS, to deduce that triangles are similar, corresponding sides are proportional, and corresponding angles are congruent.

  8. Understand and interpret geometric language.

  9. Angle relationships of a transversal crossing 2 parallel lines.

  10. Interpret geometric constructions.

  11. The locus of points in a plane or in three-dimensional space.

  12. Medians, altitudes, perpendicular bisectors, and angle bisectors

  13. Triangle inequality theorem and the relative size of angles and the relative size of opposite sides.

  14. Pythagorean relationships

  15. Interior and exterior angles and angle sums to the number of sides of a Polygon.

  16. Isosceles triangles in complex contexts and use properties to solve problems and draw conclusions.

  17. Lines and line segments associated with circles, central angles, inscribed angles, intercepted arcs, and inscribed polygons

  18. Two and three-dimensional shapes and their properties: cross sections of prisms, cylinders, pyramids, and cones 

  19. Points or lines of symmetry 

  20. Congruent figures and corresponding parts.

  21. Similar figures, ratio and proportion, including situations with a geometric mean relationship such as right triangle and its altitude

  22. Transformations and transformed figures.

  23. Relationships between corresponding sides, areas, and volumes for similar figures in terms of scale factor.

  24. Length, with, parameter, circumference, area, surface area, and volume relationships and formulas

  25. Geometric probability and draw conclusions.

  26. Reflections, rotations, translations, and dilations.

  27. Distance and midpoint formulas 

  28. Parallel and perpendicular lines on the basis of slope.

  29. Trigonometric ratios for triangles, in particular for 45-45-90 and 30-60-90 triangles.

  30. Right triangles in real world context and use the grammatic ratios to find side length and angle measures.

Tests