Triangle rst is dilated to create triangle uvw on a coordinate grid. you are given that angle t is congruent to angle w. what other information is required to prove that the two triangles are similar?
a. segments rs and uv are congruent.
b. angle s is congruent to angle v
c. segment rt is congruent to segment uw, and segment st is congruent to segment vw
d. angle s is congruent to angle u

The correct answer is B

Step-by-step explanation:

We are given only one congruent angle So, to show ΔRST ΔUVW, We need to show one angle congruent or ratio of any two sides equal.

A. and C. are rejected because segments are given congruent but to prove similarity the corresponding sides must be proportional to each other not congruent

In D. ∠S ≅ ∠U , but corresponding angle to S is V so it may also be rejected

B is the right answer : ∠S ≅ ∠V

So, by AA postulate ΔRST ΔUVW

step-by-step explanation:

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

eventually after a few more steps, your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x