1
Identify parts of a triangle
Recognize vertices, sides, angles and opposite side-angle pairs in triangles.
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A Tale of Three Intersecting Lines
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2
Classify triangles by sides
Classify triangles as scalene, isosceles or equilateral.
3
Classify triangles by angles
Classify triangles as acute, right or obtuse.
4
Use triangle angle-sum property
Find missing angles using the sum of angles in a triangle.
5
Use exterior-angle relationship
Find exterior angles using the sum of the two opposite interior angles.
6
Detect impossible triangle angles
Identify angle measures that cannot form a triangle.
7
Apply triangle inequality
Check whether three side lengths can form a triangle.
8
Find possible third-side ranges
Determine possible values of a missing side length using triangle inequality.
9
Relate side lengths and angles
Connect larger angles with longer opposite sides in triangles.
10
Construct triangles from given conditions
Construct triangles using suitable side and angle information.
11
Judge uniqueness of triangle construction
Decide whether given measurements determine a unique triangle.
12
Analyze errors in triangle diagrams
Find mistakes in labelled triangle diagrams or constructions.
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