5.1.2 Medians, Altitudes, and Midsegments in Triangles − Practice
1. If HJ is a median of △ IKH , which of the following statements is always true?
2. CD is a median of △ ABC , AD = 3 x + 10, and DB = 7 x + 2. Find AB .
○ HJ ≅ IK ○ ∠ IHJ ≅ ∠ KHJ ○ IJ ≅ JK ○ ∠ IJH ≅ ∠ KJH
3. △ KWJ has vertices K (3, 3), W (1, − 5), and J ( − 5, − 1). Find the equation of the median through J in slope-intercept form.
4. △ DEF has vertices D ( − 5, − 1), E (3, 3), and F (1, − 5). Find the equation of the altitude through F in slope- intercept form.
5. Find the measure of PR in the diagram.
6. Find the value of m in the diagram.
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