Question10 Quadrilateral is reflected over the -axis to create quadritateral .
Which statement is true?
8.10ABD. 2
F The area of quadrilateral is greater than the area of quadrilateral .
G Quadrilateral is not congruent to quadrilateral .
H The perimeter of quadrimateral is greater than the perimeter of quadritateral ABCD.
3 The corresponding side lengths of quadrilateral are equal to the corresponding side lengths of quadrilateral .
Studdy Solution
STEP 1
1. Quadrilateral is reflected over the -axis to form quadrilateral .
2. Reflection is a type of rigid transformation.
STEP 2
1. Understand the properties of reflection.
2. Analyze the effects of reflection on area.
3. Analyze the effects of reflection on congruency.
4. Analyze the effects of reflection on perimeter.
5. Determine the truth of each given statement.
STEP 3
Understand the properties of reflection: - A reflection is a rigid transformation, meaning it preserves distances and angles. - The shape and size of the figure do not change after reflection.
STEP 4
Analyze the effects of reflection on area: - Since reflection is a rigid transformation, the area of the figure remains unchanged.
STEP 5
Analyze the effects of reflection on congruency: - Since reflection preserves distances and angles, the reflected figure is congruent to the original figure.
STEP 6
Analyze the effects of reflection on perimeter: - Since reflection is a rigid transformation, the perimeter of the figure remains unchanged.
STEP 7
Determine the truth of each given statement:
- F: False. The area remains the same.
- G: False. The quadrilateral is congruent to the original.
- H: False. The perimeter remains the same.
- 3: True. Corresponding side lengths remain equal.
The true statement is:
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