Question

proving triangles congruent
digital textbook
click each link below to learn the concepts. each component includes a video and you can select your desired language.
student fl geometry -> triangle congruence -> proving triangles congruent -> 5.6.2 gulded instruction
student fl geometry -> triangle congruence -> proving triangles congruent -> 5.6.3 gulded practice
then, answer check your understanding assignment below. you have three attempts.

Explanation:

Step 1: Analyze statement 2

$\overline{RK}\cong\overline{RK}$ is an example of the reflexive property of congruence (a segment is congruent to itself).

Step 2: Analyze statement 3

Since $\overline{RK}\perp\overline{SP}$, by the definition of perpendicular lines (if two lines are perpendicular, then they form right angles), $\angle SKR$ and $\angle PKR$ are right angles.

Step 3: Analyze statement 6

Since $m\angle SKR = m\angle PKR$ (from step 5), by the definition of congruent angles (if the measures of two angles are equal, then the angles are congruent), $\angle SKR\cong\angle PKR$.

Answer:

1. Reflexive property of congruence; 3. Definition of perpendicular lines; 6. Definition of congruent angles.