Math Grade 8 Quiz Similarity of Two-Dimensional Figures – 8.G.A.4
Two-dimensional figures are said to be similar if one can be transformed into the other through a sequence of rotations, reflections, translations, and dilations. These transformations maintain the shape’s proportionality and angle measures. When two figures are similar, their corresponding angles are congruent, and their corresponding side lengths are proportional. Understanding the concept of similarity is crucial for various applications, such as real-world modeling and geometric proofs.
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Question 1 of 10
1. Question
Which transformation can change the size of a figure?
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Question 2 of 10
2. Question
Two figures are similar if their corresponding angles are:
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Question 3 of 10
3. Question
Given two similar rectangles where the smaller rectangle has dimensions 3×5 and the larger one is obtained through a dilation with a scale factor of 2, what are the dimensions of the larger rectangle?
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Question 4 of 10
4. Question
Which transformation does not alter the shape’s size?
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Question 5 of 10
5. Question
If two triangles are similar, the ratio of their corresponding sides is:
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Question 6 of 10
6. Question
What is the ratio of side lengths for two similar squares if the area of the larger square is 4 times the smaller square?
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Question 7 of 10
7. Question
If a circle is dilated with a scale factor of 0.5, its new radius will be:
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Question 8 of 10
8. Question
Which pair of figures are always similar?
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Question 9 of 10
9. Question
A triangle ABC is reflected over the y-axis to form A’B’C’. Which of the following statements is true?
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Question 10 of 10
10. Question
What is the primary difference between congruent and similar figures?
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