Atriangle has the coordinates (7, 6), (6, 3), and (8, 3) at its vertices. the transformed triangle has the coordinates (6, −7), (3, −6), and (3, −8) at its vertices. are the triangle and its transformation congruent? why or why not?

a. yes, the transformation is a 90° clockwise rotation.
b. no, the transformation is a 180° clockwise rotation.
c. yes, the transformation is a 270° clockwise rotation.
d. no, the transformation is a 360° clockwise rotation.

Answer with explanation:

Vertices of Triangle are (7, 6), (6, 3), and (8, 3) .

When the triangle is transformed that is rotation has taken place and the  coordinates of vertices of Image are (6, −7), (3, −6), and (3, −8).

When you will compare Pre image and Image

1.⇒ Rotation in clockwise direction has taken place to get the Image.

2.⇒Pre Image is in First Quadrant, and Image is in fourth Quadrant

Among the four transformation , Reflection, Rotation, Translation and Dilation , in first three that is, Reflection, Rotation,and Translation Preimage and Image are Congruent , while in Dilation the two, Preimage and Image are Similar.

So , Yes the two triangles are Congruent.

⇒Option A: Yes, the transformation is a 90° clockwise rotation.

i can you with this sweetie!

step-by-step explanation:

proofs involving isosceles triangles often require special consideration because an isosceles triangle has several distinct properties that do not apply to normal triangles.(more about triangle types) therefore, when you are trying to prove that two triangles are congruent, and one or both triangles, are isosceles you have a few theorems that you can use to make your life easier.

step-by-step explanation:

an isosceles triangle has two congruent sides and two congruent angles. the congruent angles are called the base angles and the other angle is known as the vertex angle. ∠bac and ∠bca are the base angles of the triangle picture on the left. the vertex angle is ∠abc