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MA.8.GR.1.3 · Geometric Reasoning

Triangle Inequality and the Converse of the Pythagorean Theorem: Sample FAST Questions

Given three side lengths, 8th graders run two separate tests: the Triangle Inequality Theorem decides whether a triangle can exist at all, and the converse of the Pythagorean Theorem decides whether that triangle is a right triangle.

How the FAST tests this benchmark

FAST items are commonly multiselect questions asking which sets of side lengths form a triangle, plus multiple choice items about right triangles. Checking only one pair of sides instead of all three is exactly what the distractors are built to catch.

Skills students need

  • Apply the Triangle Inequality Theorem to three side lengths
  • Check all three pairs of sides, not just one
  • Apply the converse of the Pythagorean Theorem
  • Classify a triangle as right or not right from its sides

Try 6 real MA.8.GR.1.3 questions

These come straight from Algebro's 8th grade pre-algebra question bank, easiest first. Answer one, check it, then move to the next.

Question 1 of 6

Answer it and Algebro checks it instantly

Question 1EasyGraphing
Two sides of a triangle have lengths 6 units and 9 units. Graph the inequality that gives the upper bound for the length of the third side xx on the number line.

Showcase extra: the real practice and quiz players do not have this button.

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More 8th grade geometric reasoning benchmarks

MA.8.GR.1.4

Complementary, Supplementary, Vertical, and Adjacent Angles

MA.8.GR.1.5

Interior and Exterior Angles of Triangles

MA.8.GR.1.6

Interior Angle Sums of Polygons

MA.8.GR.1.3: Triangle Inequality Practice | Algebro