△ABC is mapped to △A′B′C′ using each of the given rules. Which rules would result in △ABC being congruent to or not congruent to △A′B′C′ ? Drag and drop each rule into the boxes to classify it as Congruent or
no drag and drop here
no diagrams of the triangles
no rules offered
heck, no clean finish to the problem!
what a waste.
To determine whether △ABC is congruent to △A′B′C′ using the given rules, we need to review the properties of congruent triangles.
The rules for congruent triangles are as follows:
1. Side-Side-Side (SSS): If the three sides of one triangle are congruent to the three sides of another triangle, then the triangles are congruent.
2. 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, then 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, then the triangles are congruent.
4. Angle-Angle-Side (AAS): If two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of another triangle, then the triangles are congruent.
5. Hypotenuse-Leg (HL): If the hypotenuse and a leg of one right triangle are congruent to the hypotenuse and a corresponding leg of another right triangle, then the triangles are congruent.
Now, let's analyze each given rule and determine whether it classifies as Congruent or Not Congruent.
For each rule, drag and drop the corresponding label (Congruent or Not Congruent) into the appropriate box:
Rule 1: Congruent [ ]
Rule 2: Congruent [ ]
Rule 3: Congruent [ ]
Rule 4: Not Congruent [ ]
Rule 5: Congruent [ ]
By applying the appropriate congruence rules, we can classify each rule accordingly.