Question

For the figure below, circle the statement that must be true

Answer 1

Answer:

Therefore the true statement is option b . SK > YU

Step-by-step explanation:

Given:

SA ≅ OY

AK ≅ OU

∠A = 90°

∠O = 70°

To Prove:

SK > YU

Proof:

We have,

Hinge theorem:

States that ''if two sides of one triangle are congruent to two sides of another triangle, and the included angle of the first is larger than the included angle of the second, then the third side of the first triangle is longer than the third side of the second triangle''.

In Δ SAK and Δ YOU

SA ≅ OY

AK ≅ OU

∠ A is larger than ∠O

i.e 90 > 70

Side opposite to 90  > Side opposite to 70

∴ SK > YU ..............Proved

Therefore the true statement is option b . SK > YU