Would everything be miniature on a miniature Earth?

If there was a planet half the earth's diameter, for which every other aspect of the earth was changed proportionally to keep the Earth's perfect ratio intact (including having the perfect orbital distance from the sun, etc), would animal and plant life, in turn, grow proportionally smaller? Would an Oak tree grow to be 80 feet, or 40?

Assume the earth is positioned in just the right place in space with just the right diameter/mass/surface etc to make all this possible.

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Would everything be miniature on a miniature Earth?

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