Answer:
Explained below
Step-by-step explanation:
Hi! Do you know the similar triangle rules?
I will prove one for you and you can try the rest
ΔCBD ~ ΔABC proof:
st | r
1) ΔABC is right Δ | Given
2) CD is alt to hyp | Given
3) m∠C = 90° | def right Δ
4) m∠CDB = 90° | def alt
5) m∠B = m∠B | reflexive property (more triangles share ∠B)
6) ΔCBD ~ ΔABC | AA (since two angles are equal, the two triangles are similar)
We do not need to prove all three angles as similar since if two corresponding angles of two triangles are congruent, the third has to be equal (since the total sum of angles is 180° in a triangle)
You can translate the statement reasoning into a paragraph
I hope this helps! If not, let me know and I will try and explain further :)
