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3 years ago

PLEASE HELP!

Mathematics

2 answers:

kow [346]3 years ago

6 0

The statement that describes the properties of triangles ABC and A''B''C'' after the transformations is

(Option A.) ∠C and ∠C'' are congruent after both the translation and the dilation.

<h3>Further explanation</h3>

<em>There are several types of transformations:</em>

<em>Translation</em>
<em>Reflection</em>
<em>Rotation</em>
<em>Dilation</em>

Let us now tackle the problem!

$\texttt{ }$

This problem is about Translation and Dilation.

<em>Properties of </em><em>Translation</em><em> of the images compared to pre-images:</em>

preserve Side Length
preserve Orientation
preserve Collinearity
preserve Betweenness of Points
preserve Angle Measurement

$\texttt{ }$

<em>Properties of </em><em>Dilation</em><em> of the images compared to pre-images:</em>

not preserve Side Length
not preserve Orientation
preserve Collinearity
preserve Betweenness of Points
preserve Angle Measurement

$\texttt{ }$

From the information above, we can conclude that Dilation and Translation preserve Angle Measurement , therefore:

<u><em>(Option A.) ∠C and ∠C'' are congruent after both the translation and the dilation.</em></u>

$\texttt{ }$

<h3>Learn more</h3>

Inverse of Function : brainly.com/question/9289171
Rate of Change : brainly.com/question/11919986
Graph of Function : brainly.com/question/7829758
Translation : brainly.com/question/10929552
Translation of Graph : brainly.com/question/12091943
Transformation Of 2 Functions : brainly.com/question/2415963

<h3>Answer details</h3>

Grade: High School

Subject: Mathematics

Chapter: Transformation

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

#LearnWithBrainly

Vlad [161]3 years ago

3 0

Answer:

Option A. ∠C and ∠C'' are congruent after both the translation and the dilation

Step-by-step explanation:

we know that

The translation is a rigid transformation. After the translation the image and the pre-image are congruent

The dilation is a non rigid transformation. After the dilation the image and the pre-image are similar

Remember that

If two figures are similar, then its corresponding angles are congruent and the ratio of its corresponding sides is proportional

If two figures are congruent, then its corresponding angles and corresponding sides are congruent

therefore

∠C and ∠C'' are congruent after both the translation and the dilation

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