Mathematics
Grade-8
Easy
Question
Describe a series of transformations that will map Parallelogram ABCD onto Parallelogram GHEF.
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)
- A translation
followed by a dilation of ![3 over 2](data:image/png;base64,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)
- A translation
followed by a dilation of ![2 over 3](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABIAAAAjCAYAAACZ6FpfAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAXQ/cXWQAAAN1JREFUeNpjYMAOrIF4DRB/AuJfQHwBiKMZyAAHgTgSiHmgfC0gPgoVoxjIA/ElBiqBH9QwxBLqPYoABxCfhEYC2UAQiDcAsRslhihBDVGhxBANIJ4NxFyUGCIOxKuAmIXSwN0CdRHF4D8ePAoGE/hPJh4FgwU4AvE2IP4GLadvAfEEIBYm1aD9QBwExGxIYgZAvINaLv1EDUNAxe4NSkvLRGg4eVEjyxRQ6iVQdRQArdfsqRFGPFDDBk/drwcNcJLbR6HQeo0JmtLvA3E8qQbZQuu2H1AMSuk++DQAAI82PNCcRsQTAAAAYnRFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtZnJhYz48bW4+MjwvbW4+PG1uPjM8L21uPjwvbWZyYWM+PC9tYXRoPrjMGUAAAAAASUVORK5CYII=)
- A translation
followed by a dilation of ![3 over 2](data:image/png;base64,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)
- A translation
followed by a dilation of ![2 over 3](data:image/png;base64,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)
Hint: