Q3 of 24 Page 15

Is ACBD in the figure, a parallelogram? Why?

We can see that the diagonal AB makes the same angle of 35⁰ with each AC(6 cm) and DB(6 cm). Hence, it acts as a transversal

between AC and DB which makes AC and DB parallel and equal lines. Hence, ABCD is a parallelogram.

In each pair of triangles below, find the pairs of matching angles and write then down.

(i)

(ii)

In the figure below, AC and BE are parallel lines:

i) Are the length of BC and DE equal? Why?

ii) Are BC and DE parallel? Why?

In the figure below, M is the midpoint of the line AB. Compute the other two angles of ∆ABC.

In the figure below, the lines AB and CD are parallel and M is the midpoint of AB.

i) Computer the angles of ΔAMD, ΔMBC and ΔDCM?

ii) What is special about the quadrilaterals AMCD and MBCD?

Questions · 24

1. Equal Triangles

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