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Classifying Triangles
Classifying Triangles
● Acute, obtuse, and right triangles
● Classifying scalene, isosceles, and equilateral triangles by side lengths
● Classifying scalene, isosceles, and equilateral triangles by side lengths or angles
Angles of Triangles
Angles of Triangles
● Finding an angle measure of a triangle given two angles
● Finding an angle measure for a triangle with an extended side
● Finding an angle measure given a triangle and parallel lines
● Finding angle measures of a triangle given angles with variables
● Establishing facts about the interior and exterior angles of a triangle
Congruent Triangles
Congruent Triangles
● Identifying and naming congruent parts of congruent triangles
● Determining if figures are related by rigid motions
● Exploring the triangle congruence theorems
Proving Triangle Congruence
Proving Triangle Congruence
● Completing proofs involving congruent triangles using SSS or SAS
● Introduction to proving triangles congruent using SSS or SAS
● Identifying and naming congruent triangles
● Completing proofs involving congruent triangles using ASA or AAS
● Introduction to proving triangles congruent using ASA or AAS
● Separating overlapping triangles and identifying common features
● Introduction to proving triangles congruent using the HL property
Isosceles and Equilateral Triangles
Isosceles and Equilateral Triangles
● Finding side lengths and angle measures of isosceles and equilateral triangles
● Finding an angle measure for a triangle sharing a side with another triangle
● Finding angle measures of an isosceles triangle given angles with variables
Segments within Triangles
Segments within Triangles
● Classifying segments inside triangles
● Using the circumcenter of a triangle to find segment lengths
● Using the incenter of a triangle to find segment lengths and angle measures
● Using the centroid of a triangle to find segment lengths
● Introduction to the triangle midsegment theorem
Triangle Constructions and Triangle Inequalities
Triangle Constructions and Triangle Inequalities
● Creating triangles from given side lengths - Problem type 1
● Creating triangles from given side lengths - Problem type 2
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