PART A Complete the sentence that describes the two transformations that could be performed on Figure A so that Figure A maps onto Figure A'. Choose words from the drop-down menus to correctly complete the sentence.

Perform a reflection across the ( x or y axis? ) followed by a translation ( up, down, left, right )

PART B

Figure A' is rotated 30° clockwise about the origin to create Figure A'' (not shown). Which statement about Figure A, Figure A', and Figure A'' is true?

A: Only Figure A' is congruent to Figure A''.
B: Only Figure A is congruent to Figure A'.
C: None of the figures are congruent.
D: All of the figures are congruent.

idk

step-by-step explanation:

payback

alright so i think for this one it would to draw it out. this may be hard for me to try and draw, but i will do my best on here:

        r

  /       |     \

notice how it forms 2 triangles inside one bigger triangle.

so if we know the angle spr is the same as psr that is saying the measure of angle p is the same as angle s. this means the big triangle psr is either isosceles or equilateral. in both cases, the triangle is perfectly symmetrical when split down the middle, which is in this case rq. because we know it is perfectly symmetrical on both sides, we know that the two triangles inside the bigger one are equal.

look at the picture.

1.

ef : ab = 2 : 3

gf : cb = 2 : 3

gh : cd = 2 : 3

he : da = 2 : 3

2.

∠a ≅ ∠e

∠b ≅ ∠f

∠c ≅ ∠g

∠d ≅ ∠h

3.

use pythagorean theorem:

the length of the abcd trapezoid sides:

|ab| = 3 cm

|bc| = 10 cm

|cd| = 3(3) cm = 9 cm

|da| = 8 cm

the perimeter of abcd = 3 + 10 + 9 + 8 = 30 cm

the ratio of perimeters of the tarapezoids is equal 2 : 3.

substitute:

      cross multiply

      divide both sides by 3