Practice Isosceles Triangle Theorem (1.5) - Theorems in Geometry & Trigonometry

Practice: Isosceles Triangle Theorem

Lesson 1.5Theorems in Geometry & Trigonometry

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10 questions

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4 questions · about 3 min · pass mark 70%. Hints available.
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6 sample questions

Question 1.
What are the angles opposite the equal sides of an isosceles triangle called?
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Think about what we name angles in a triangle.
Question 2.
In an isosceles triangle, if one angle is 50°, what are the measures of the other two angles?
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Use the angle sum theorem.
3Question 3.
What does the Isosceles Triangle Theorem state?
- The angles opposite the equal sides are equal.
- The base angles are unequal.
- The sum of the angles is less than 180°.
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Think about what makes the triangle special.
4Question 4.
Is it true that the angles opposite equal sides of an isosceles triangle are equal?
- True
- False
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Revisit the definition of isosceles triangles.
Question 5.
An isosceles triangle has a perimeter of 36 cm, with one side being the base. If the base is 12 cm, find the lengths of the equal sides and the angles.
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Set up the equation for perimeter and use Pythagorean theorem to find missing angles.
Question 6.
Given an isosceles triangle where the equal sides are 10 cm long, what is the maximum possible length of the base to maintain the isosceles property?
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Use the triangle inequality theorem to determine limits.

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