Control on the right of the middle in the fourth grade

Course properties are always very important in geometry. In addition, this chapter involves your knowledge as well as your skills. In a triangle, if a line passes through the midpoints of two sides, then it is said to be parallel to the third side. Then, the length of the segment joining the middles of two sides is equal to half that of the third side. To pass this test, you must remain focused and use all the necessary materials.

Also, before you start, read the statement carefully to get a good overview. Always avoid calculation errors during your check. By the end of this test, you should be able to master all the concepts in this course.

Exercise n° 1 : 4 points.

 Line of midpoints in a triangle The lines (EF) and (AC) are parallel. We give AC = 7 cm. 1. Prove that F is the middle of [BC]. 2. What is the length of the segment [EF]? (to be justified)

Exercise n° 2 : 6 points.

 Line of midpoints in a triangle Show that AJIK is a rectangle.

Exercise n° 3 : 6 points.

 EFG is a right triangle in F K is the middle of the segment [EG]. The line passing through K and perpendicular to (EF) intersects [EF] at L.1. a. Show that the lines (LK) and (FG) are parallel. b. Show that L is the middle of the segment [EF].2. The lines (FK) and (GL) intersect at M. What do the lines (FK) and (GL) represent for the triangle EFG? Deduce that the line (EM) cuts the segment [FG] in its middle. Line of midpoints in a triangle

Exercise n° 4 : 4 points.

 Line of midpoints in a triangle Write down the assumptions that result from the coding. Show that the lines (BF) and (CG) are parallel. Prove that B is the middle of [AE]

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