SHSAT · Practice from the ASPIRE question bank, not an official form. No score is guaranteed.
Free SHSAT geometry triangles practice questions
Free SHSAT geometry triangles practice questions: free samples from the ASPIRE question bank, not an official SHSAT form. Take the free Explorer diagnostic with no credit card. One diagnostic and 50 practice questions a month are included.
The diagnostic is on the free Explorer plan. No credit card. One diagnostic and 50 practice questions a month are included.
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Sample questions
4 items from the ASPIRE practice bank. More are in the app.
An exterior angle of a triangle measures 110°. If one of the non-adjacent interior angles is 45°, what is the other non-adjacent interior angle?
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Answer: C. 65°. An exterior angle equals the sum of the two non-adjacent interior angles: 110° = 45° + x → x = 65°. Tip: draw and label the figure. Right triangles cue Pythagorean theorem; similar triangles cue ratio setups.
What is the perimeter of an equilateral triangle with side length 6 cm?
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Answer: C. 18 cm. An equilateral triangle has 3 equal sides. Perimeter = 3 × 6 = 18 cm. Tip: draw and label the figure. Right triangles cue Pythagorean theorem; similar triangles cue ratio setups.
A right triangle has legs of length 6 cm and 8 cm. What is the length of the hypotenuse?
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Answer: A. 10 cm. Use Pythagorean theorem: a² + b² = c². So 6² + 8² = c² → 36 + 64 = c² → 100 = c² → c = 10. Tip: draw and label the figure. Right triangles cue Pythagorean theorem; similar triangles cue ratio setups.
Two sides of a triangle measure 5 cm and 8 cm. Which could be the length of the third side?
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Answer: C. 10 cm. Triangle inequality: the third side must be greater than |8 − 5| = 3 and less than 8 + 5 = 13. Only 10 satisfies 3 < 10 < 13. Tip: draw and label the figure. Right triangles cue Pythagorean theorem; similar triangles cue ratio setups.