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
Source: Khan Academy, https://www.khanacademy.org/math/basic-geo/basic-geometry-shapes This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 License.
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.