What’s the answer to these geometry questions?
For each statement, name the postulate that can be used to prove that the conclusion is valid. If more than one postulate is needed, give the correct order. Select from the following list:
Transitive Property
Addition Postulate
Subtraction Postulate
Multiplication Postulate
Division Postulate
Partition Postulate
Substitution Postulate
1. If AB = CD, XY = 2AB, and MN = 2CD, then XY = MN.
2. Measure of angle P – measure of angle Q = 42 and measure of angle D – measure of angle Q = 42, then measure of angle P = measure of angle D.
3. Measure of angle x + measure of angle y = 64 and measure of angle z + measure of angle y = 64, then measure of angle x = measure of angle z.
Can you please explain why your answer is correct too?
1. Multiplication: if two equal things are multiplied by the same number they are still equal
2. first addition, add m < Q to both, then transitive or substitution
3. like 2 but subtraction first
2 and 3 work because if a = b and b = c then a = c is transitive or substitution
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