Question

PLEASE HELP!!!!!! IM HORRIBLE AT MATHPLEASE PLEASE PLEASE PLEASE HELP!!!!!!!!​

Answer 1

Answer:

2. No, the triangles can't be proven congruent

3. yes, SAS; ΔSTV ≅ ΔSUV

4. yes, SSS; ΔNMQ ≅ ΔNPQ

5. No, the triangles can't be proven congruent

6. yes, SAS; ΔXWZ ≅ ΔXYZ

7. | Reasons |

   1. | given (note this is a side) |

   2. | given (note this is a side) |

   3. | given |

   4. | definition of a midpoint (a midpoint bisects the line it is one because it is equidistant from the two endpoints; basically, the two pieces of a line bisected by a midpoint will always be equal) |

   5. | SSS Theorem (the two givens beside the midpoint were two sets of equal corresponding sides; since we have three sets of corresponding sides equal, the theorem used here is the SSS Theorem) |

Step-by-step explanation:

Here's a quick review of the two theorems mentioned in this worksheet:

• Side-Side-Side Theorem: in reference to congruency, this theorem states that if the three sides of one triangle are equal to the respective sides of another triangle, then the two triangles are congruent.

• What about SAS? The letters are ordered in that way for a reason: the Side-Angle-Side Theorem tells us that if we have two triangles, and a set of two corresponding sides and their included angle are equal, then the triangles are congruent.

1. By included angle, we mean the angle between two sides.

I know, jaelee04, I'm sorry, this explanation is a bit short, but email me and I'll send you my full answer. The warning is that it's really long!