Geometry Chapter 9 Isometries Quiz

Questions and Answers

How many lines of symmetry does the isosceles trapezoid have?

Which letter has at least one line of symmetry?

If the figure has rotational symmetry, find the angle of rotation about the center that results in an image that matches the original figure.

120

Name the type of symmetry for the figure.

rotational Signup and view all the answers

The dashed-lined triangle is a dilation image of the solid-lined triangle. Is the dilation an enlargement or a reduction? What is the scale factor of the dilation?

reduction: 1/2 Signup and view all the answers

An insect has a body length of 10 millimeters. What is the body length of the insect under a microscope that shows you an image of the object that is 20 times the object's actual size?

200 millimeters Signup and view all the answers

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

rotation Signup and view all the answers

Find the glide reflection image of the black triangle where the translation is (x,y) -> (x,y-7) and the line of reflection is x=1.

D Signup and view all the answers

Tell whether the orientations of the right figure and the left figure are the same or opposite. Then classify the isometry.

opposite orientation; Signup and view all the answers

Identify JIG -> DEF as a reflection, translation, rotation or glide reflection. Find the reflection line, translation rule, and reflection line.

rotation; 180 about (1,4) Signup and view all the answers

Study Notes

Symmetry and Isometries

An isosceles trapezoid has 1 line of symmetry.
The letter D possesses at least one line of symmetry.

Rotational Symmetry

A figure with rotational symmetry around its center can be rotated by an angle of 120 degrees to match the original image.
This type of symmetry is known specifically as rotational symmetry.

Dilation

In dilation, the dashed-lined triangle is a reduction of the solid-lined triangle with a scale factor of 1/2.
An insect measuring 10 millimeters appears as 200 millimeters under a microscope, indicating a scale factor of 20.

Types of Isometries

Two reflections across intersecting lines result in a transformation equivalent to a rotation.
A particular example of isometry reveals opposite orientation between the right and left figures.

Glide Reflection

To determine the glide reflection image of a triangle with a translation of (x,y) -> (x,y-7) and reflection line x=1, the image identified is D.

Classification of Transformations

The transformation from JIG to DEF is classified as a rotation about the point (1,4) with an angle of 180 degrees.

Description

Test your understanding of compositions of isometries with this quiz based on Chapter 9. You will answer questions about symmetry, angles of rotation, and specific geometric figures. Enhance your geometry knowledge and prepare for your next assessment.