Question

Plzzz some one. Do this

Answer 1

1. Figure and its dilation image are always similar, then

`(AB)/(A'B')=(BC)/(B'C').`

This means that option B is correct.

2. Triangles AXY and ABC are congruent, then

`(AX)/(AB)=(XY)/(BC)=(AY)/(AC).`

Now

`(120)/(240)=(150)/(BC)=(100)/(200).`

Therefore,

`BC=2\cdot 150=300\ m.`

Correct option is A.

3. Figure and its dilation image have congruent corresponding angles:

• 
  `m\angle A=m\angle X;`
• 
  `m\angle B=m\angle Y;`
• 
  `m\angle C=m\angle Z.`

Since
`m\angle A=50^(\circ), m\angle B=100^(\circ),` then
`m\angle C=180^(\circ)-50^(\circ)-100^(\circ)=30^(\circ).`

Thus,
`m\angle Z=30^(\circ).`