Similar triangles may or may not be congruent.
The true statements are: [tex]\mathbf{A.\ \triangle ABC \sim \triangle ADB,\ C.\ \triangle ABC \sim \triangle BDC,\ D.\ \triangle ABD \sim \triangle BCD }[/tex]
From the figure, we have the following highlights
- Triangle ABC is right-angled at B
- Triangle ADB is right-angled at D
- Triangle BDC is right-angled at D
This means that:
- Triangles ABC and ADB are similar
- Triangles ABC and BDC are similar
- Triangles BDC and ADB are similar
Hence, the true statements are: (a), (c) and (d)
Read more about similar triangles at:
https://brainly.com/question/14926756
