Question

State True or False

The two triangles are similar .$EB||DC$

• A. true
• B. false
• C. only $\angle AEB$ is equal to $\angle ADC$
• D. incomplete data

Answer 1

Answer: (A)

true

In $△ABE$ and $△ACD$

$\Rightarrow$ $\angle EAB=\angle DAC$ [ Common angle ]

$\Rightarrow$ $\angle ABE=\angle ACD$ [ Corresponding angles ]

$\Rightarrow$ $\angle BEA=\angle CDA$ [ Corresponding angles ]

$\therefore$ $△ABE\sim △ACD$ [ By $AAA$ similarity rule ]

$\therefore$ We have proved that, the two triangles are similar.