Question

Geometry property question.

Justify each of the following statements using a property of equality, property of congruence, definition, or postulate.

Please match all of them!

Answer 1

1. PQ = PQ, then PQ ≅ PQ Definition of Congruence

2. If K is between J and L, then JK + KL = JL Segment addition postulate

3.
`\overline {EF}` ≅
`\overline {EF}` Reflexive Property of Congruence

4. If RS = TU, then RS + XY = TU + XY Addition property of equality

5. If AB = DE, then DE = AB Symmetric property of equality

Explanation:

The definition of congruence is the condition of geometric figures having the same shape and size

The segment addition postulate states that a point K lies in between two points on a line segment J and L, if and only if the equation for the length of the segments JK + KL = JL is met

The reflexive property of congruence states that a shape, a line segment, or an angle has the property of being congruent to itself

Addition property of equality states that both sides of an equation remain equal when we add or subtract an equal amount from both sides of the equation

Symmetric property of equality states that two values remain equal after their sides of the equation is reversed from left to right.