Square t was translated by the rule (x + 2, y + 2) and then dilated from the origin by a scale factor of 3 to create square t″. which statement explains why the squares are similar?
a. translations and dilations preserve side length; therefore, the corresponding sides of squares t and t″ are congruent.
b. translations and dilations preserve orientation; therefore, the corresponding angles of squares t and t″ are congruent.
c. translations and dilations preserve betweenness of points; therefore, the corresponding sides of squares t and t″ are proportional.
d. translations and dilations preserve collinearity; therefore, the corresponding angles of squares t and t″ are congruent.

The statement that explains why the squares are similar is

Option C. Translations and dilations preserve betweenness of points; therefore, the corresponding sides of squares T and T″ are proportional.

There are several types of transformations:

Let us now tackle the problem!

This problem is about Translation and Dilation.

Properties of Translation of the images compared to pre-images:

Properties of Dilation of the images compared to pre-images:

From the information above, we can conclude that:

Option A is not true because Dilations do not preserve side length.

Option B is not true because Dilations do not preserve orientation.

Option C is true because Translations and Dilations preserve betweenness of points.

Option D is not true. Although Translation and Dilations preserve collinearity but it cannot be related to the corresponding angles are congruent.

Grade: High School

Subject: Mathematics

Chapter: Transformation

Keywords: Function , Trigonometric , Linear , Quadratic , Translation , Reflection , Rotation , Dilation , Graph , Vertex , Vertices , Triangle

c

Step-by-step explanation:

i dont understand the question? ?

step-by-step explanation:

step-by-step explanation:

the shape,the size and the distance