Question

Type the correct answer in each box. Spell all words correctly.

A sequence of transformations maps ∆ABC onto ∆A″B″C″. The type of transformation that maps ∆ABC onto ∆A′B′C′ is a

.


When ∆A′B′C′ is reflected across the line x = -2 to form ∆A″B″C″, vertex

of ∆A″B″C″ will have the same coordinates as B′.

Answer 1

Reflection

Explanation:

When we reflect a point on the x axis, the y coordinate changes its sign.

For example if a Point P has coordinates (x,y), it will be (x, -y) after reflection on the x axis.

A (-6,2) reflected on the x axis becomes A' (-6, -2)

B (-2,6) reflected on the x axis becomes B' (-2, -6)

C (-4,2) reflected on the x axis becomes C' (-4, -2)

So, the type of transformation that maps ∆ABC onto ∆A′B′C′ is a reflection on the x axis.

Explanation:

Answer 2

Reflection

Explanation:

When we reflect a point on the x axis, the y coordinate changes its sign.

For example if a Point P has coordinates (x,y), it will be (x, -y) after reflection on the x axis.

A (-6,2) reflected on the x axis becomes A' (-6, -2)

B (-2,6) reflected on the x axis becomes B' (-2, -6)

C (-4,2) reflected on the x axis becomes C' (-4, -2)

So, the type of transformation that maps ∆ABC onto ∆A′B′C′ is a reflection on the x axis.