Mathematics · Geometry
Consider the following statements regarding the properties of triangles:
Statement I: The sum of any two sides of a triangle is always greater than the third side.
Statement II: The measure of any exterior angle of a triangle is equal to the sum of the measures of its two interior opposite angles.
Statement III: If in ΔABC and ΔDEF, AB = DE, ∠A = ∠D, and BC = EF, then the two triangles must be congruent by the SAS criterion.
Which of the following options correctly identifies the truth value of these statements?
Statement I: The sum of any two sides of a triangle is always greater than the third side.
Statement II: The measure of any exterior angle of a triangle is equal to the sum of the measures of its two interior opposite angles.
Statement III: If in ΔABC and ΔDEF, AB = DE, ∠A = ∠D, and BC = EF, then the two triangles must be congruent by the SAS criterion.
Which of the following options correctly identifies the truth value of these statements?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1Statement I is False, Statement II is True, Statement III is False✓
- 2Statement I is True, Statement II is False, Statement III is False
- 3Statement I is False, Statement II is True, Statement III is False
- 4Statement I is True, Statement II is True, Statement III is True
Correct answer
Statement I is False, Statement II is True, Statement III is False
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