Question

9 choose the options that best fit the blank boxes. (1 point) 1 definition of a rectangle 2 opposite sides of rectangle are congruent 3 reflexive property of congruence 4 sas congruence postulate

Explanation:

Step1: Identify the first - blank reason

Since we start with the fact that $JKLM$ is a rectangle and then state properties related to it, the first blank should be filled with the reason for using rectangle - related properties. The reason is the definition of a rectangle.

Step2: Identify the second - blank reason

We know that in a rectangle, opposite sides are congruent. This property is used to establish congruence between sides.

Step3: Identify the third - blank reason

The statement $ML\cong ML$ is an example of the reflexive property of congruence which states that any geometric figure is congruent to itself.

Step4: Identify the fourth - blank reason

We have two pairs of congruent sides and the included right - angles. So, the reason for $\triangle JML\cong\triangle KLM$ is the SAS (Side - Angle - Side) congruence postulate.

Answer:

1. definition of a rectangle
2. opposite sides of rectangle are congruent
3. reflexive property of congruence
4. SAS congruence postulate