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Geometry of Triangles - Isosceles, Side Rule (Level 1)

This math topic focuses on the properties of isosceles triangles, particularly relating angle measurements to understanding and predicting side lengths. Each problem presents a triangle with certain known angles and asks students to deduce the relationships between the side lengths based on these angles. The practical emphasis is on applying the properties of isosceles triangles to solve geometric problems and understand basic triangle geometry.

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

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Isosceles, Side Rule

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Given the angle measurements, what do we know about the side lengths?

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Geometry of Triangles - Isosceles, Side Rule Worksheet

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Math worksheet on 'Geometry of Triangles - Isosceles, Side 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 angle measurements, what do we know about the side lengths?
a
S = Q but not R
b
R = S but not Q
c
R = S = Q
d
Q = R but not B
e
R, S, and Q are different
2
An svg image showing a math problem
Given the angle measurements, what do we know about the side lengths?
a
Q = R but not B
b
R, S, and Q are different
c
R = S but not Q
d
R = S = Q
e
S = Q but not R
3
An svg image showing a math problem
Given the angle measurements, what do we know about the side lengths?
a
S = Q but not B
b
Q, R, and S are different
c
R = S but not Q
d
Q = R but not S
e
Q = R = S
4
An svg image showing a math problem
Given the angle measurements, what do we know about the side lengths?
a
R = S but not B
b
Q = R but not S
c
S = Q but not R
d
S, Q, and R are different
e
S = Q = R
5
An svg image showing a math problem
Given the angle measurements, what do we know about the side lengths?
a
R = S = Q
b
Q = R but not B
c
S = Q but not R
d
R, S, and Q are different
e
R = S but not Q
6
An svg image showing a math problem
Given the angle measurements, what do we know about the side lengths?
a
Q, R, and S are different
b
R = S but not Q
c
S = Q but not B
d
Q = R but not S
e
Q = R = S
7
An svg image showing a math problem
Given the angle measurements, what do we know about the side lengths?
a
R, S, and Q are different
b
Q = R but not B
c
S = Q but not R
d
R = S but not Q
e
R = S = Q