In right triangle ABC, BC=6cm and AB=8cm. P is the mid point of AB and PQ is parallel to BC.

a) Find the length of AC

b) Write the length of three sides of triangle APQ

c) If AB=a, BC= b and AC=c, then Find the perimeters of ABC and APQ

In the figure ABCD is a rhombus . AE is parallel to BD. Prove that =1

Prove that the quadrilateral formed by joining the midpoints of the sides of a triangle is a rhombus.

O is the circum centre of the triangles ABC and PQR. OC=2xOR

Then – Radius of the larger circle is twice the radius of the small circle

a) AP : PO = ------

b) Are AC and PR parallel? Why?

c) If Δ ABC is an equilateral triangle? Prove that ΔPQR is also an equilateral triangle.

In the picture below, the medians from the two bottom vertices intersect at G. AB=6cm.

a) Find the length of ED

b) Find the length of PQ joined by the mid points of AG and BG

c) Prove that EP = DQ

In the figure four parallel lines cut lines AB and CD. If AP=5cm. Find the length of AB

Draw a rectangle with perimeter 24cm and sides in the ratio 3:2

In the figure four parallel lines cut CD in the ratio 2:3:4. If AP=3 cm find the length of AB.

Draw an equilateral triangle of perimeter 8cm.

AB, CD, EF are parallel lines. If AC= 5cm, CE=2cm, DF=4cm find the length of BD.

Quadrilateral PQRS is drawn by joining the midpoints of the sides of the quadrilateral ABCD. AC= 10cm

a) Find the length of SR

b) Prove that PQRS is a parallelogram.

In the figure AD, PQ and BC are parallel lines.

a) If = , then what is and

b) Prove that =