Question

Can someone please help me with this math question

Answer 1

Answer:

1. reflection across x-axis

2. translation 6 units to the right and 3 units up (x+6,y+3)

Step-by-step explanation:

The trapezoid ABCD has it vertices at points A(-5,2), B(-3,4), C(-2,4) and D(-1,2).

First transformation is the reflection across the x-axis with the rule

(x,y)→(x,-y)

so,

• A(-5,2)→A'(-5,-2)
• B(-3,4)→B'(-3,-4)
• C(-2,4)→C'(-2,-4)
• D(-1,2)→D'(-1,-2)

Second transformation is translation 6 units to the right and 3 units up with the rule

(x,y)→(x+6,y+3)

so,

• A'(-5,-2)→E(1,1)
• B'(-3,-4)→H(3,-1)
• C'(-2,-4)→G(4,-1)
• D'(-1,-2)→F(5,1)