Geometry - Using Deductive Reasoning

Select the statement that best justifies the conclusion based on the given information. If a ( b + c ) = d , then ab + ac = d .

distributive

Select the statement that best justifies the conclusion based on the given information. B is between A and C Conclusion: A, B and C are collinear.

Definition of betweenness.

Select the statement that best justifies the conclusion based on the given information. l is in plane M , x is on line l Conclusion: x is in plane M.

If a plane contains a line, it contains the points on the line.

Select the statement that best justifies the conclusion based on the given information. Conclusion: I2 and I2 intersect only at point P .

If two lines intersect, then their intersection is exactly one point.

Select all that apply. Which statements are true of deductive reasoning?

It is used to prove basic theorems. It is used when you solve an equation in algebra. It is used to prove that statements are true.

deductive reasoning

The process of making a conclusion by fitting a specific example into a general statement.

Select the statement that best justifies the conclusion based on the given information. M is the midpoint of RS Conclusion: l is the bisector of RS

Definition of bisector.

Select the statement that best justifies the conclusion based on the given information. WX = XY Conclusion: X is midpoint of WY.

Definition of midpoint.

Select the statement that best justifies the conclusion based on the given information. If x + y = z and x = y , then the conclusion is x + x = z .

substituton

Select the statement that best justifies the conclusion based on the given information. If x + 5 = 15, then x = 10.

subtraction property of equality