Question

URGENT PLEASE HELP WILL FAN AND MEDAL. I dont understand this question on my quiz, please help and explain. 2. A triangular pyramid is defined by the points .The pyramid is then reflected over the xz-plane. The reflected image is then translated 3 units back, 2 units left, and 4 units up.
(a) Write the general rule you use for the reflection.
(b) Show the results of your calculations for the reflection.
(c) Write the general rule you use for the translation. (Hint: Begin with the result of the rule for the reflection.)
(d) Show the results of your calculations for the translation

Answer 1

What are the points defining the pyramid ?
Looks some key parts of the question are missing.

Answer 2

wow so much people in this group

Answer 3

defined by the points P(0,5,4), Y(-2,7,4), R(0,7,4), and A(0,7,6) thank you so much for relyping sorry

Answer 4

When you reflect an object over \(xz\) plane, its \(y\) coordinates flip signs.

Answer 5

The general rule for reflection over \(xz\) plane is then :
\[(x,y,z)\longrightarrow (x,-y,z)\]

Answer 6

That is for part a

Answer 7

In light of part a result, see if you can you try part b

Answer 8

For part b,
just apply the reflection rule for each of the given points

Answer 9

ok so the y just negates? so P(0,-5,4) Y (2, -7,4) R (0,-7,4) and A(0,-7,6)

Answer 10

Very good. But point Y looks wrong. check once..

Answer 11

ok so it does stay -2? so Y(-2,-7,4)

Answer 12

Yes, only the y coordinate negates. x and z stay the same

Answer 13

alright so b) is what we have just figured out, correct? again thank so so much

Answer 14

Yes

Answer 15

Are you given any picture ?

Answer 16

no sorry there is no picture

Answer 17

translated 3 units back, 2 units left, and 4 units up.

the translation rule here should be :
\[(x,y,z)\longrightarrow (x-3,y-2,z+4)\]

Answer 18

that is for part c

Answer 19

for part d,
you take the points from part b result and apply the translation rule

Answer 20

Oh my god thank so absolutely so much, I was ready to cry when no one helped. I appreciate your help so much, now I gotta go solve it!

Answer 21

Np :)