Quadrilateral abcd undergoes a reflection across the x-axis to form quadrilateral a'b'c'd'. the coordinates of a' are ( , ).

the reflected quadrilateral a'b'c'd' is then translated 3 units right and 2 units up to form quadrilateral a"b"c"d". the coordinates of a" are ( , ).

A(-5,-3); B(-6,-1); C(-3,-1) ; D(-2,-3)

Step-by-step explanation:            When a refection is done about x-axis, the values of the abscise x remain identical & the value of ordinate  just change their signs:

A(-5,-3); A'(-5,+3)

B(-6,-1); B'(-6,+1)

C(-3,-1); C'(-3,+1)

D(-2,-3); D'(-2,+3)

2) A'B'C'D' is translated 3 UNITS RIGHT, that means the ordinated of A'B'C'D'

are the same but the abscises have been increased by 3 UNITS ;

A'(-5,+3) ==>A"(-2,3)

B'(-6,+1) ==>B"(-3,1)

C'(-3,+1) ==>C"(0,1)

D'(-2,+3) ==>D"(1,3)

parallel and congruent

step-by-step explanation:

the movement of translation is linear.   these have the same translation because you are using the same rule for each point of the triangle so you will see the same slope being used to get from a point on the triangle to its image.

same slope!   you should think parallel when you see those 2 word together (well unless it's the same line but it can't be because we are coming from different points here)

congruent! because each point is being moved the same distance.

step-by-step explanation:

x-intercept:

(

−

1

+

√

7

,

0

)

,

(

−

1

−

√

7

,

0

)

y-intercept:

(

0

,

−

6

)