Choose the correct correspondence. side tu side tr side ur

RT is correspondance to side TR .

Step-by-step explanation:

As given the quadrilateral URTS in the diagram .

Now take two Triangle in the quadrilateral URST .

In the triangle ΔTUR and Δ TSR

∠UTR = ∠SRT

(By property of the alternate interior angle)

TR = TR

(Common side of the Triangle ΔTUR and Δ TSR )

∠URT = ∠STR

(By property of the alternate interior angle)

By using the ASA congurence property

ΔTUR  ≅ Δ TSR

Thus

RT = TS

(By using the property of corresponding sides of the congurent triangle.)

Therefore RT is correspondance to the side TR .

b. an equilateral triangle inscribed in a circle

step-by-step explanation:

we are given the figure of two circles having a triangle inside.

now, we know that,

"when a figure is lying inside an another figure, then the outside figure is known as circumscribed figure and the figure lying inside is referred to as the inscribed figure".

as we see that, the circles are containing the triangle completely.

thus, the circles are the circumscribed figures and the triangle is the inscribed figure.

hence, we get, 'an equilateral triangle is inscribed in a circle'.

a. is correct