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Geometry of Triangles - Scalene, Angle Rule (Level 1)

This math topic focuses on understanding the relationship between the side lengths and angles of different types of triangles, specifically within the contexts of scalene, isosceles, and equilateral triangles. Each question presents a triangle with given side lengths and asks to determine the nature of the angles (whether they are equal or different). The problems help reinforce the angle rule for triangles, aiding in the comprehension of how side length affects angle measurements within various triangle geometries. This is part of a broader unit on isosceles and equilateral triangles.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Scalene, Angle Rule

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Given the side lengths, what do we know about this triangle's angles?

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Geometry of Triangles - Scalene, Angle Rule Worksheet

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Math worksheet on 'Geometry of Triangles - Scalene, Angle Rule (Level 1)'. Part of a broader unit on 'Geometry - Isosceles and Equilateral Triangles' Learn online: app.mobius.academy/math/units/geometry_triangles_isosceles_equilateral_intro/
1
An svg image showing a math problem
Given the side lengths, what do we know about this triangle's angles?
a
R = S but not Q
b
S = Q = R
c
Q = R but not S
d
S = Q but not R
e
S, Q, and R are different
2
An svg image showing a math problem
Given the side lengths, what do we know about this triangle's angles?
a
Q = R but not S
b
S = Q but not R
c
R, S, and Q are different
d
R = S = Q
e
R = S but not Q
3
An svg image showing a math problem
Given the side lengths, what do we know about this triangle's angles?
a
R = S but not Q
b
R = S = Q
c
Q = R but not S
d
S = Q but not R
e
R, S, and Q are different
4
An svg image showing a math problem
Given the side lengths, what do we know about this triangle's angles?
a
R = S but not Q
b
S, Q, and R are different
c
S = Q = R
d
S = Q but not R
e
Q = R but not S
5
An svg image showing a math problem
Given the side lengths, what do we know about this triangle's angles?
a
R = S but not Q
b
Q = R but not S
c
S = Q but not R
d
Q, R, and S are different
e
Q = R = S
6
An svg image showing a math problem
Given the side lengths, what do we know about this triangle's angles?
a
Q, R, and S are different
b
S = Q but not R
c
R = S but not Q
d
Q = R but not S
e
Q = R = S
7
An svg image showing a math problem
Given the side lengths, what do we know about this triangle's angles?
a
S = Q = R
b
S = Q but not R
c
S, Q, and R are different
d
Q = R but not S
e
R = S but not Q