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

This math topic on the geometry of triangles, specifically focusing on isosceles triangles and the angle rule, helps learners understand and apply their knowledge of triangle properties based on side lengths. The problems guide students to deduce the relationships between the angles of triangles when certain sides are equal, reinforcing concepts of isosceles and potentially equilateral triangles. Each question presents a triangle and asks the learner to determine the relationship among the angles based on the given side lengths, offering multiple-choice answers to deepen understanding of triangle geometry principles.

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

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Isosceles, 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 - Isosceles, Angle Rule Worksheet

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