CD is dilated by a scale factor of 1/4 to form C’D’ . CD measures 4. what is the measure of C’D’

Answers

Answer 1

The measure of C'D' would be given as 1

How to solve for the dilation

In geometry, dilation is a type of transformation in which a shape is resized, either larger or smaller, while still retaining its overall form and orientation. The amount of resizing is determined by a scale factor, which can be a positive number for an enlargement or a fraction less than 1 for a reduction. A dilation changes the size of a figure, but not its shape or position.

When a line segment is dilated by a scale factor of 1/4, its length is reduced by a factor of 4. So, if CD measures 4, then C'D' would measure 4 / 4 = 1.

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Related Questions

Why is understanding the structure of the earth important

Answers

Understanding the structure of the earth is important because it allows us to understand and predict geological events such as earthquakes, volcanic eruptions, and tsunamis. It also helps us to understand the formation and movement of tectonic plates.

What do you mean by tectonic plates?

Tectonic plates are large sections of the Earth's crust that move independently of each other and interact with each other along their boundaries. Plates can interact in three different ways: constructively, destructively, and conservatively. Constructive boundaries create new lithosphere, while destructive boundaries consume lithosphere. Conservative boundaries neither create nor consume lithosphere, but instead cause plates to slide past each other. The boundaries of the plates are known as plate boundaries, which can be either divergent, convergent, or transform. Divergent plate boundaries form when two plates move away from each other, leading to the formation of new lithosphere from molten material. Convergent plate boundaries form when two plates collide, and can lead to the formation of mountains and oceanic trenches.

So, Understanding the structure of the earth is important because it allows us to understand and predict geological events such as earthquakes, volcanic eruptions, and tsunamis.

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