☰ Year plan · Mathematics

Parallel lines and medians

Week 10 · Parallel lines and medians: equal intercepts, the midsegment of a triangle and the medians of a triangle · 3 lessons
Answers are for parents and teachers.
1
Parallel lines cut AB = BC on one transversal. On another, DE = 3x + 2 and EF = 5x − 6. Find x and DF.
2
The sides of Δ ABC are 9, 12 and 15 cm. Find the three midsegments and the perimeter of the triangle they form.
3
In a quadrilateral the diagonals are 12 cm and 20 cm. Find the perimeter of the quadrilateral formed by the midpoints of its sides.
4
The medians of a triangle meet at G and CF = 27 cm. Find CG and GF.
5
A right-angled triangle has legs 5 cm and 12 cm. Find the median from the right angle.