Question

Consider triangles CBD and BDE and answer the questions that follows

2.1 Which side is common in both triangles?
2.2 What can be concluded about the heights of A CBD
and A BDE? Give a reason for your answer.
2.31 Using your answers from 2.1 und 2.2 above complete
the following statements:
2.3.1 Area of A CBD
2.3.2 Area of ABDE
2.4 What can be concluded about the area of A CBD and
ABDE?​

Answer 1

Explanation:

∠ABD ≅ ∠BDE..... (given).... (1)

m∠ABD + m∠CBD = 180°... (straight line ∠'s)... (2)

From equations (1) & (2)

m∠BDE + m∠CBD = 180°....(3)

m∠BDE + m∠CDB = 180°... (straight line ∠'s)... (4)

From equations (3) & (4)

m∠BDE + m∠CBD = m∠BDE + m∠CDB

m∠CBD ≅ m∠CDB.. (Proved)