Question

Write a similarity statement relating the three triangles in the diagram

Answer 1

Answer:

b. ∆DEF ~ ∆HDF ~ ∆HED  

Step-by-step explanation:

When you name similar triangles, the order of the letters of corresponding angles must be in matching order.

For example, in ∆DEF, ∠D is the right angle, ∠E is the larger acute angle, and ∠F is the smallest angle.

The corresponding parts in ∆HDF are ∠H, ∠D, and ∠F.

In ∆HED, they are ∠H, ∠E, and ∠D.

The similarity statement is

∆DEF ~ ∆HDF ~ ∆HED

Answer 2

The similarity statement relating to the given triangles in the diagram is: B. ∆DEF ~ ∆HDF ~ ∆HED

What is the Right Triangle Similarity Theorem?

• The right triangle similarity theorem states that when an altitude of a right triangle will divide the triangle to form two similar triangles, which are also similar to the original triangles.
• The three triangles are similar to each other.
• When writing similarity statement, the letters of the corresponding angles of the triangles should follow the same order of naming that matches together.

Therefore, the similarity statement relating to the given triangles in the diagram is: B. ∆DEF ~ ∆HDF ~ ∆HED

Learn more about right triangle similarity theorem on:

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