In the following figure, AB = DC and ABC = . Prove that . ?ABC = ?DCB

The following figure, AB = AC, prove that the angles ABD and ACD are also equal

In triangle ABC , X , Y and Z are the midpoints of sides AB , AC and BC respectively. If

ZX = ZY and ZXBˆ = ZY Cˆ = 90°;

(i) Represent this information diagrammatically, (ii) Show that ABZˆ = ACZˆ .

In the following figure, PX and QY are perpendicular to PQ and PX= QY .

Show that the two triangles XPA and YQA are congruent.

In figure 1, ABCD is a square. If AR = BR prove that R is the midpoint of DC

Given angle LMT = angle LNT, use the following figure to prove that LM= LN

 Form Two students were challenged on the use of corresponding angles and sides to prove for the congruence of triangles. One student managed to draw triangles of the same size and shape as follows: 

Using the figures, 

(i) state why triangles ABC and PQR are congruent. 

(ii) calculate the value of the angle RQP. 

The figure below shows that AC = BD . Prove that ACB = ADB

PQR is an isosceles triangle whereby PQ =PR and QS = SR. If S is a point between Q and R prove that ? PQS ? ?PRS