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

v = 1/3 a^2h

step-by-step explanation:

the volume is 1/3 a^2h.

{x = -1/2 ,   y = -1

step-by-step explanation:

solve the following system:

{2 x + y = -2

{10 x - 3 y = -2

in the first equation, look to solve for y:

{2 x + y = -2

{10 x - 3 y = -2

subtract 2 x from both sides:

{y = -2 x - 2

{10 x - 3 y = -2

substitute y = -2 x - 2 into the second equation:

{y = -2 x - 2

{10 x - 3 (-2 x - 2) = -2

10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:

{y = -2 x - 2

{16 x + 6 = -2

in the second equation, look to solve for x:

{y = -2 x - 2

{16 x + 6 = -2

subtract 6 from both sides:

{y = -2 x - 2

{16 x = -8

divide both sides by 16:

{y = -2 x - 2

{x = -1/2

substitute x = -1/2 into the first equation:

{y = -1

{x = -1/2

collect results in alphabetical order:

answer:   {x = -1/2 ,   y = -1