Is there enough information to conclude that the two triangles are congruent? If so, which is the correct congruence statement?
Yes; Triangle CAB is congruent to Triangle DAC
Yes' Triangle ACB is congruent to Triangle ACD
Yes' Triangle ABC is congruent to Triangle ACD
No; the triangles cannot be proven congruent.

Is there enough information to conclude that the two triangles are congruent If so which is the correct congruence statement Yes Triangle CAB is congruent to Tr class=

Respuesta :


Yes' Triangle ACB is congruent to Triangle ACD




Answer:

Option A. is the correct option.

Step-by-step explanation:

It is given In the triangle ABC and triangle ADC

Sides AB is congruent to side AD and side AC is common in both the triangles

∠ACD ≅ ∠ACB = 90°

Since triangle ABD is an isosceles triangle, so perpendicular drawn from A to side BD will equally bisect the side BD and ∠ABC ≅ ∠ADC

BC ≅ CD

Therefore, by ASA property in ΔABC and ΔADC

∠ABC ≅ ∠ADC

∠ACB ≅ ∠ACD ≅ 90°

And BC ≅ CD

Therefore, ΔABC ≅ ΔADC

Option A. will the answer.