Podcast
Questions and Answers
How many lines of symmetry does the isosceles trapezoid have?
How many lines of symmetry does the isosceles trapezoid have?
1
Which letter has at least one line of symmetry?
Which letter has at least one line of symmetry?
D
If the figure has rotational symmetry, find the angle of rotation about the center that results in an image that matches the original figure.
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.
Name the type of symmetry for the figure.
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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?
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?
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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?
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?
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Which type of isometry is the equivalent of two reflections across intersecting lines?
Which type of isometry is the equivalent of two reflections across intersecting lines?
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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.
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.
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Tell whether the orientations of the right figure and the left figure are the same or opposite. Then classify the isometry.
Tell whether the orientations of the right figure and the left figure are the same or opposite. Then classify the isometry.
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Identify JIG -> DEF as a reflection, translation, rotation or glide reflection. Find the reflection line, translation rule, and reflection line.
Identify JIG -> DEF as a reflection, translation, rotation or glide reflection. Find the reflection line, translation rule, and reflection line.
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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.
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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.
