Question

△JKL∼△STU

Which statements are true?

Select each correct answer.

JL=SU
KLTU=JKST
∠K≅∠T
m∠J=m∠S
JK¯¯¯¯¯≅ST¯¯¯¯¯

Answer 1

Option B , C and D are true

The correct statement are true :

`(JK)/(ST)=(KL)/(TU)`

`\angle K \cong \angle T`

`m\angle J = m\angle S`

Explanation:

Similar triangles states if their corresponding angles are congruent and the corresponding sides are in proportion or In other words, similar triangles are the same shape, but not necessarily the same size.

Given:
`\triangle JKL \sim \triangle STU`

Then, by definition of similar triangles;

The sides are in proportions:

`(JK)/(ST)=(KL)/(TU) =(JL)/(SU)`

The corresponding angles are congruent;

`\angle J \cong \angle S`

`\angle K \cong \angle T`

`\angle L \cong \angle U`

Therefore, the correct answer for the given statement are:

`(JK)/(ST)=(KL)/(TU)`

`\angle K \cong \angle T`

`m\angle J = m\angle S` [Congruent angles are equal in measure]