U6L3 Types of Transformations

Triangle ​ (a)   has been transformed in two different ways: • ​ (b)   → ( − y, x), resulting in triangle DEF • (x, y) → ​ (c)   , resulting in triangle ​ (d)  

Let’s analyze the effects of the first transformation.

• ABC
• (x, y)
• (x, 3y)
• XYC

• AB and DE
• lengths of all the sides
• congruent
• Side-Side-Side
• rigid

Not all transformations keep lengths or angles ​ (a)   . Compare triangles ABC and XYC. Angle X is ​ (b)   angle A. All of the side lengths of XYC are larger than their ​ (c)   . The transformation (x, y) → (x, 3y) stretches the points on the triangle ​ (d)   from the x-axis. This is ​ (e)   a rigid transformation. It is also not a dilation since the corresponding angles are not congruent.

• the same
• larger than
• corresponding sides
• 3 times farther away
• not

Point A is located at (4,-7). The point is reflected in the x-axis. Its image is located at

• (-4, 7)

• (-4, -7)

• (4,7)

• (7, -4)

When the point (2,-5) is reflected in the x-axis, what are the coordinates of its image?

• (-5, 2)

• (-2, 5)

• (2, 5)

• (5, 2)

Reflecting (5, 1) in the y-axis yields an image of

• (5, -1)

• (-5 , -1)

• (5, 1)

• (-5, 1)

• (3, 4)

• (-3, 4)

• (4, 3)

• (-4, 3)

• (4b, -3a)

• (3a, 4b)

• (-3a, -4b)

• (-4b, -3a)

• (8, 4)

• (4, 8)

• (4, 6)

• (1, 2)

• (2, 5)

• (3, 12)

• (9, 18)

• (18, 45)