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Classifying Triangles Flashcards

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Questions and Answers

What type of triangle is an obtuse isosceles?

Has one obtuse angle and two equal sides (correct)

Has one right angle and two equal sides

Has no equal sides and all angles are acute

Has one acute angle and three equal sides

What type of triangle is a right isosceles?

Has one right angle and two equal sides (correct)

Has all sides equal

Has no equal sides

Has one obtuse angle and three unequal sides

What type of triangle is an obtuse scalene?

Has one right angle and two equal sides

Has all sides equal

Has one obtuse angle and no equal sides (correct)

Has all angles acute

What type of triangle is an acute isosceles?

Has all angles acute and two equal sides Signup and view all the answers

What type of triangle is a right scalene?

Has one right angle and no equal sides Signup and view all the answers

What type of triangle is equilateral?

Has all sides equal and all angles equal Signup and view all the answers

What type of triangle is acute scalene?

Has all angles acute and no equal sides Signup and view all the answers

What type of triangle is an acute isosceles?

Has all angles acute and two equal sides Signup and view all the answers

What type of triangles can be classified based on angles?

Acute, Obtuse, Right Signup and view all the answers

What type of triangles can be classified based on sides?

Equilateral, Isosceles, Scalene Signup and view all the answers

Define obtuse.

A triangle with one angle greater than 90 degrees. Signup and view all the answers

Define right.

A triangle with one angle equal to 90 degrees. Signup and view all the answers

Define acute.

A triangle with all angles less than 90 degrees. Signup and view all the answers

Define isosceles.

A triangle with at least two equal sides. Signup and view all the answers

Define equilateral.

A triangle with all sides equal. Signup and view all the answers

Define scalene.

A triangle with all sides of different lengths. Signup and view all the answers

Study Notes

Triangle Classification by Angles and Sides

Obtuse Isosceles: Has one obtuse angle and two equal sides.
Right Isosceles: Contains one right angle and two equal sides.
Obtuse Scalene: Features one obtuse angle and all sides of different lengths.
Acute Isosceles: Has three acute angles with two equal sides.
Right Scalene: Contains one right angle and all sides of different lengths.
Equilateral: All sides are equal, and all three angles are equal (each angle is 60 degrees).

Triangle Classification by Angles

Acute: All interior angles are less than 90 degrees.
Obtuse: Contains one interior angle greater than 90 degrees.
Right: Includes one right angle (90 degrees).

Triangle Classification by Sides

Isosceles: At least two sides are equal in length; equal angles are opposite these sides.
Equilateral: All three sides and angles are equal.
Scalene: All sides have different lengths and all angles are different.

Summary of Specific Types

Acute Isosceles: Equal sides and angles; all angles acute.
Right Isosceles: Equal sides, with one right angle.
Obtuse Isosceles: Equal sides with one angle greater than 90 degrees.

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Description

This quiz focuses on classifying triangles based on their angles and sides. You will encounter terms such as obtuse, right, and scalene triangles, along with definitions that aid in classification. Prepare to refine your understanding of geometric principles through these flashcards.