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1 year ago

Please help fast I NEED ITT

Mathematics

1 answer:

Ghella [55]1 year ago

7 0

The true statement is (c) Yes, the sequence is an isometry transformation because it contains only rigid transformation

<h3>How to determine the type of transformation?</h3>

The coordinates are given as:

A = (1, 2), B = (3, 2) and C = (2, 7)

D = (3, -6), E = (5, -6) and F = (4, -1)

Calculate the lengths of pre-image and the image using

d = √(x2 - x1)² + (y2 - y1)²

So, we have:

AB = √(1 - 3)² + (2 - 2)² = 2

DE = √(3 - 5)² + (-6 + 6)² = 2

AB and DE are congruent

BC = √(3 - 2)² + (2 - 7)² = √26

EF = √(5 - 4)² + (-6 + 1)² = √26

BC and EF are congruent

CA = √(2 - 1)² + (7 - 2)² = √26

FD = √(4 - 3)² + (-1 + 6)² = √26

CA and FD are congruent

Because the corresponding sides are congruent, then the transformation is an isometry transformation.

This is so because isometry transformation do not alter side lengths and angles

Hence, the true statement is (c) Yes, the sequence is an isometry transformation because it contains only rigid transformation

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Let's solve this problem step-by-step.

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Now, let's establish the equation we will be using to solve this problem based on the previous information as displayed below:

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We will now simply solve the equation in order to obtain the value of ( m ) as display below:

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ANSWER:

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