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:

answer: c

step-by-step explanation: because you don't have to draw a point of intersection. couldyou give me brainliest?

u

answer: city needs 2.4 inches of rainfall more to match the record of 40 inches.

step-by-step explanation:

since we have given that

total annual rainfall a city record = 40 inches

this year, total rainfall recorded = 37.6 inches

number of inches of rainfall   is needed to match the record of 40 inches is given by

hence, city needs 2.4 inches of rainfall more to match the record of 40 inches.