Triangles

Site: Saylor Academy
Course: GKT101: General Knowledge for Teachers – Math
Book: Triangles
Printed by: Guest user
Date: Tuesday, July 1, 2025, 9:30 AM

Description

Watch this lecture series, which discusses how to classify triangles by lengths of their sides and measures of their angles.

Classifying triangles by angles

Worked example: Classifying triangles

Practice

    

Classify triangles by angles - Questions

1. Classify \(\triangle A B C\) by its angles.



Choose 1 answer:

(A) Acute triangle

(B) Obtuse triangle

(C) Right triangle

2. Classify \(\triangle J K L\) by its angles.



Choose 1 answer:

(A) Acute triangle

(B) Obtuse triangle

(C) Right triangle

3. Classify \(\triangle D E F\) by its angles.



Choose 1 answer:

(A) Acute triangle

(B) Obtuse triangle

(C) Right triangle

4. Which figure is an acute triangle?

Choose 1 answer:

Classify triangles by angles - Answers

1. \(\triangle A B C\) is an acute triangle.

2. \(\triangle J K L\) is a right triangle.

3. \(\triangle D E F\) is an obtuse triangle.

4. \(\triangle S T U\) is an acute triangle.

Classify triangles by both sides and angles - Questions

1. Classify \(\triangle L M N\).



Choose 2 answers:

(A) Isosceles triangle

(B) Scalene triangle

(C) Right triangle

(D) Equilateral triangle

(E) Acute triangle

(F) Obtuse triangle

2. Lauren drew a triangle. Its sides were \(7 mm , 9 mm\), and \(7 mm\).

It has three acute angles.

Complete the sentence to describe the triangle Lauren drew.

Lauren's triangle is ________ (an acute triangle\an obtuse triangle\a right triangle ) and ________ (an equilateral triangle\an isosceles triangle\a scalene triangle ).

3. Complete the sentence to describe the triangle shown.

\(\triangle G H I\) is ________ (an acute triangle\an obtuse triangle\a right triangle ) and ________ (an equilateral triangle\an isosceles triangle\a scalene triangle ).

4. Complete the sentence to describe the triangle shown.



\(\triangle NOP\) is ________ (an acute triangle\an obtuse triangle\a right triangle ) and ________ (an equilateral triangle\an isosceles triangle\a scalene triangle ).



Classify triangles by both sides and angles - Answers

1. \(\triangle L M N\) is an isosceles triangle and an acute triangle.

2. Lauren's triangle is an acute triangle and an isosceles triangle.

3. \(\triangle G H I\) is an acute triangle and an isosceles triangle.

4. \(\triangle N O P\) is an isosceles triangle and an obtuse triangle.