Drag the tiles to the boxes to form correct pairs. not all tiles will be used. the vertices of polygon abcd are at a(1, 1), b(2, 3), c(3, 2), and d(2, 1). abcd is reflected across the x-axis and translated 2 units up to form polygon a′b′c′d′. match each vertex of polygon a′b′c′d′ to its coordinates. (2, 1) a′ (1, 1) b′ (3, 0) c′ (2, 3) d′ (-3, 4) (2, -1) (-2, 5)

A'(1,1) ,  B'(2,-1) , C'(3,0) and D'(2,1)

Step-by-step explanation:

The transformation rule for reflection across x axis is given by :-  

            (1)

The rule for translation h units above is given by :-

           (2)

Given : The vertices of polygon ABCD are at A(1, 1), B(2, 3), C(3, 2), and D(2, 1). ABCD is reflected across the x-axis and translated 2 units up to form polygon A′B′C′D′.

The coordinates of polygon ABCD after reflection across the x-axis Using (1) :

A(1, 1) → (1,-1)

B(2, 3) → (2,-3)

C(3, 2) → (3,-2)

D(2, 1) → (2,-1)

Now, after translation of 2 units up , the coordinates of polygon A′B′C′D′  using (2 ) will be :

(1,-1) → A'(1,-1+2) = A'(1,1)

(2,-3) → B'(2,-3+2) = B'(2,-1)

(3,-2) → C' (3,-2+2)  = C'(3,0)

(2,-1) → D'(2,-1+2) = D'(2,1)

Hence, the answer is A'(1,1) ,  B'(2,-1) , C'(3,0) and D'(2,1),.

x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x

step-by-step explanation:

last month maria hiked the 5-mile mountain trail a number of times and she hiked the 10-mile canal trail several times. let x represent the number of times she hiked the 5-mile trail, and let y represent the number of times she hiked the 10-mile trail. if she hiked a total of 90 miles, which equation can be used to find the number of times maria hiked each trail? x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x

ratio is 2 : 9

the answer is three

13.5 : 3