Relationships in Triangles
5.1 Define and use the Triangle Midsegments Theorem to identify parallel segments find missing measures of segments and angles.
5.2 Define and use the Perpendicular Bisectors Theorem
and its converse to find missing segment measures.
5.3 Define and use the Angle Bisectors theorem to find missing measures of segments and angles.
5.4 Use the Pythagorean Theorem to find missing side lengths and determine whether a triangle is acute, right, or obtuse.
5.5 Define the circumcenter and incenter of a triangle and use it to find missing measures of segments and angles.
5.6 Define and identify triangle medians, altitudes, centroids, and the orthocenter and use them to find missing segment lengths.
5.7 Use the Triangle Inequality Theorem to determine if three side lengths form a triangle and the range of possibilities of the third side.
5.8 Match side lengths of a triangle to corresponding angles—and vice versa—while ordering each from least to greatest.
5.9 Using the hinge theorem and its converse, compare the side and angle measures of two triangles to determine which is greater.