Are the rectangles similar? Explain how you know?

yesi guess the rectangle is similar because both the side length of the rectangle have the same scale factor..

example:

length=24/8

=3(The scale factor is 3)

breadth=15/5

=3(scale factor is 3)

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.