Suppose PQR RST. Which congruency statement of the two triangles is not equivalent to the others
Repost your question more clearly. "PQR RST"? What are the statements?
To determine which congruency statement is not equivalent to the others, we need to compare the given triangles PQR and RST and examine each congruency statement.
Congruent triangles have corresponding sides and angles that are equal. The most commonly used congruency statements for triangles are:
1. Side-Angle-Side (SAS): If two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, the triangles are congruent.
2. Side-Side-Side (SSS): If all three sides of one triangle are congruent to the corresponding sides of another triangle, the triangles are congruent.
3. Angle-Side-Angle (ASA): If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, the triangles are congruent.
Let's examine each congruency statement mentioned based on the given triangles PQR and RST:
1. PQR ≅ RST: This statement implies that all corresponding sides and angles of the two triangles are congruent. It represents the SSS congruency statement.
2. PQ ≅ RS, QR ≅ ST, and ∠P ≅ ∠R: This statement represents the SAS congruency statement. It means that two sides and the included angle of one triangle are congruent to the corresponding sides and angles of the other triangle.
3. PR ≅ RT, QR ≅ ST, and ∠P ≅ ∠R: This statement combines the ASA congruency statement with the SAS congruency statement. It means that two angles and the included side of one triangle are congruent to the two angles and the included side of the other triangle.
Comparing these statements, we can see that the third congruency statement (PR ≅ RT, QR ≅ ST, and ∠P ≅ ∠R) is not equivalent to the others. It combines both ASA and SAS conditions, while the first statement uses the SSS condition, and the second statement uses the SAS condition.
I have no idea and you should not be cheating learn the material yourself if you want to flip burgers for the rest of your life then cheat if not get a life and work the problems out yourself!!!!
get it~~ TEachers are their to help not internet resources to cheat!!!