MIDLINE THEOREM | GRADE 9 скачать в хорошем качестве

MIDLINE THEOREM | GRADE 9

Learn the midline theorem @VEE TEACH CHANNEL The midline (sometimes called mid-segment), is the segment joining the midpoints of two sides of a triangle. The Midline Theorem - The segment that joins the midpoints of two sides of a triangle is parallel to the third side and half as long. Examples: 1. Find the value of x. P is the midpoint of AB, and Q is the midpoint of AC. So PQ is a midline. Therefore, by the Midline Theorem, PQ = ½ BC Substitute. x = ½ BC x = ½ (6) x = 3 The value of x is 3. Sample Exercises: In triangle MCG, A and I are the midpoints of MG and cg, respectively. Consider each given information and answer the questions that follow: 1. Given: AI = 10.5 Questions: a. What is MC? b. How did you solve for MC? 2. Given: CG = 32 Questions: a. What is GI? b. How did you solve for GI? 3. Given: AG = 7 and CI = 8 Questions: a. What is MG + GC? b. How did you solve for the sum? 4. Given AI = 3x – 2 and MC = 9x -13 Questions: a. What is the value of x? b. How did you solve for x? c. What is the sum of AI + MC? Why? 5. Given: MG CG, AG = 2y – 1, IC = y + 5 Questions: a. What is the value of y? b. How did you solve for y? c. How long are MG and CG? Why? #midline theorem