Agenttex
contestada

Is there enough information to conclude that the two triangles are congruent? If so, what is a correct congruence statement?


Question 18 options:

Yes;  ΔCAB  ≅ ΔDAC

Yes; ΔABC  ≅ ΔACD

Yes;  ΔACB  ≅ ΔACD

No, the triangles cannot be proven congruent.

Is there enough information to conclude that the two triangles are congruent If so what is a correct congruence statement Question 18 options Yes ΔCAB ΔDAC Yes class=

Respuesta :

Answer: Yes,  Δ ACB  ≅ Δ ACD

Step-by-step explanation:

Since, Here ABD is a triangle in which AB = AD

Therefore, ABD is the isosceles triangle,

Also, AC is altitude of the  isosceles triangle ABD.

Therefore, AC will be the median of the triangle ABC ( By the property of isosceles triangle )

Thus, BC = CD

Now, In Δ ACB and Δ ACD,

AB ≅ AD (given)

CB≅CD ( Because CB= CD)

And, AC≅AC  ( Reflexive)

Therefore By SSS postulate of congruence,

Δ ACB ≅Δ ACD

Thus, Third Option is correct.

Yes,  Δ ACB  ≅ Δ ACD

What is the meaning of isosceles triangle?

an isosceles triangle is a triangle that has two sides of equal length.

Here we have,

from fig we have ABD is a triangle in which AB = AD

Therefore, ABD is the isosceles triangle,

AC is altitude of the  isosceles triangle ABD.

Therefore, AC will be the median of the triangle ABC

Thus, BC = CD

Now,In Δ ACB and Δ ACD,

AB ≅ AD (given)

CB≅CD ( Because CB= CD)

AC≅AC ( Reflexive)

Therefore By SSS postulate of congruence,

Δ ACB ≅Δ ACD

Therefore,the Δ ACB ≅Δ ACD

To learn more about the congruent triangle visit:

https://brainly.com/question/21624016

Otras preguntas

Q&A Education