Question

A microscope shows you an image of an object that is 20 times the object’s actual size. Therefore, the scale factor of the enlargement is 20.

An insect has a body length of 10 millimeters. What is the body length of the insect under the microscope?

A.) 2,000 millimeters
B.) 200 centimeters
C.) 200 millimeters
D.) 20 millimeters

Which type of isometry is the equivalent of two reflections across intersecting lines?

A.) glide reflection
B.) rotation
C.) reflection
D.) none of these

Answer 1

1. Answer;

-200 millimeters

Step-by-step explanation;

-The size of an enlargement is described by its scale factor. For example, a scale factor of 2 means that the new shape is twice the size of the original. A scale factor of 3 means that the new shape is three times the size of the original.

Thus; the scale factor of enlargement is given by; Image size /object size

Image size/object size = 20

Image size/10 = 20

Image size is therefore 200 milimeters

2. Answer;

B. Rotation

Rotation is the type of isometry is the equivalent of two reflections across intersecting lines.

Step-by-step explanation;

-The composition of two reflections across parallel lines is equivalent to a translation. The composition of two reflections across intersecting lines is equivalent to a rotation.

-Reflection is flipping an object across a line without changing its size or shape. Rotation is rotating an object about a fixed point without changing its size or shape. A rotation is equal to two reflections.

Answer 2

Base on your problems the following are the answers to your questions:'

- A microscope shows you an image of an object that is 20 times the object’s actual size. Therefore, the scale factor of the enlargement is 20.An insect has a body length of 10 millimeters. What is the body length of the insect under the microscope?
*the answer would be 200 milimeter

-Which type of isometry is the equivalent of two reflections across intersecting lines? (1 point)
*rotation