Question

value: 2
for the triangle below, the correct similarity statement is △abd - bcd.
true
false

1/6

Explanation:

Step1: Identify right - angled triangles

In right - angled triangle $ABC$ with right - angle at $B$ and altitude $BD$ to hypotenuse $AC$, $\angle ADB=\angle BDC = 90^{\circ}$, and $\angle A+\angle ABD = 90^{\circ}$, $\angle ABD+\angle DBC=90^{\circ}$, so $\angle A=\angle DBC$.

Step2: Apply AA similarity

By the AA (angle - angle) similarity criterion, $\triangle ABD\sim\triangle BCD$.

Answer:

True