Question

for questions 1 - 3, determine if each of the following represents a definition, postulate, or theorem. then, draw a picture using the given information.

1. if m is the midpoint of a line segment ab, then am = 1/2ab and mb = 1/2ab.
2. vertical angles are congruent.
3. perpendicular lines are lines that intersect to form a right angle.

complete the table.

	property	equality	congruence
5.	reflexive		∠fgh ≅ ∠hgf
6.	if m∠xyz = 19°, then 19° = m∠xyz	if ∠xyz = ∠fgh, then ∠fgh = ∠xyz

Explanation:

Step1: Identify statements

1 is a definition of mid - point, 2 is a theorem, 3 is a definition.

Step2: Complete table

For transitive congruence, if $\angle GHI\cong\angle FED$ and $\angle FED\cong\angle ABC$, then $\angle GHI\cong\angle ABC$. For reflexive equality, an angle is equal to itself, e.g., if $m\angle XYZ = 19^{\circ}$, then $m\angle XYZ=19^{\circ}$.

Answer:

1. Definition
2. Theorem
3. Definition
4. $\angle GHI\cong\angle ABC$
5. If $m\angle A = m\angle A$ (equality example)
6. Symmetric (property name for the equality and congruence in 6)