Question

What is the similarity statement that goes with the image, sorry I couldn't find the symbols.

white up pointing triangle S T R tilde white up pointing triangle S Q R

white up pointing triangle S T R tilde white up pointing triangle T Q R

white up pointing triangle S T R tilde white up pointing triangle R T Q

white up pointing triangle S T R tilde white up pointing triangle R S T

Answer 1

Answer: Option (3)

Explanation:

Answer 2

Since triangle QRS is a right triangle, the correct similarity statement include the following; C. ΔSTR ≅ ΔRTQ.

In Mathematics, the Right Triangles Similarity Theorem states that when the altitude of a triangle is drawn to the hypotenuse of a right angled triangle, then, the two (2) triangles that are formed would be similar to each other, as well as the original triangle.

In Mathematics, HL is an abbreviation for hypotenuse leg and it can be defined as a theorem which states that if the hypotenuse and one (1) leg in a right-angled triangle are congruent to the hypotenuse and leg of another right-angled triangle, then the two triangles would be congruent.

By applying the hypotenuse leg (HL) theorem across right-angle QRS (ΔQRS), we have the following congruent triangle;

ST = RT

m∠T ≅ m∠T

ΔSTR ≅ ΔRTQ

Missing informtion;

What is the correct similarity statement?

ΔSTR ≅ ΔSQR

ΔSTR ≅ ΔTQR

ΔSTR ≅ ΔRTQ

ΔSTR ≅ ΔRST