please need help as soon as possible please! need help very quickly with geometry homework!

Question

Question 1: △MNO has vertices M(8,−2), N(−15,−20) and O(−14,19). Which of the following represents the translation of △MNO along vector <7,−2> and its reflection across the y-axis?

A.) M (8, −2) → M ′(1, 0) → M ″(1, 0);

N (−15, −20) → N ′(−22, −18) → N ″(−22, 18);

O (−14, 19) → O ′(−21, 21) → O ″(−21, 21)

B.) M (8, −2) → M ′(1, 0) → M ″(−1, 0);

N (−15, −20) → N ′(−22, −18) → N ″(22, −18);

O (−14, 19) → O ′(−21, 21) → O ″(21, −21)

C.) M (8, −2) → M ′(1, 0) → M ″(1, 0);

N (−15, −20) → N ′(−8, −22) → N ″(−8, 22);

O (−14, 19) → O ′(−7, 17) → O ″(−7, −17)

D.) M (8, −2) → M ′(15, −4) → M ″(−15, −4);

N (−15, −20) → N ′(−8, −22) → N ″(8, −22);

O (−14, 19) → O ′(−7, 17) → O ″(7, 17)

Question 2: Which of the following represents the translation of A(1,−2) along the vector <−3, 2> and then the vector <0, −4>?

A.) A (1, −2) → A ′(3, −5) → A ″(3, −9)

B.) A (1, −2) → A ′(−3, −4) → A ″(0, −16)

C.) A (1, −2) → A ′(−2, 0) → A ″(−6, 0)

D.) A (1, −2) → A ′(−2, 0) → A ″(−2, −4)

Question 3: A square image has a side length of 7 cm on a computer monitor. It is projected on a screen using an LCD projector. When projected, 1 cm of the image on the monitor represents 8 cm on the screen. Find the perimeter of the square in the projection.

A.) 392 cm

B.) 325 cm

C.) 448 cm

D.) 224 cm

Please just give explanation and answer!

Answer 1

1) Translation (7,-2) will add 7 to original x coordinate and subtract 2 from original y coordinate. Reflection across y axis will negate x-coordinate, while keeping y-coordinate the same. D.

2) Translation of (-3,2) then (0,-4) will add -3+0 = -3 to original x coordinate and add 2-4=-2 to original y coordinate. D.

3) Real square is 8 times the size of the projection. So if side of projection is 7 cm, the real square side is 56 cm and perimeter is 4 times that. D