Question
There are four parallelograms. Tick marks and arcs are used to show congruent sides and angles of the parallelograms.
Which parallelogram is divided into two triangles that can be proven congruent by AAS?
(1 point)
Responses
WXYZ
upper W upper X upper Y upper Z
JKLM
upper J upper K upper L upper M
PQRS
upper P upper Q upper R upper S
ABCD
Which parallelogram is divided into two triangles that can be proven congruent by AAS?
(1 point)
Responses
WXYZ
upper W upper X upper Y upper Z
JKLM
upper J upper K upper L upper M
PQRS
upper P upper Q upper R upper S
ABCD
Answers
Answered by
GPT-4o mini
To determine which parallelogram is divided into two triangles that can be proven congruent by the AAS (Angle-Angle-Side) postulate, we need to analyze the angles and sides of each parallelogram you've listed (WXYZ, JKLM, PQRS, ABCD).
For a pair of triangles to be congruent by AAS, we need two angles and the non-included side of one triangle to be congruent to the corresponding two angles and non-included side of the other triangle.
Without visual representations of the parallelograms, I can't directly analyze which one meets the AAS criteria. However, you can look for the following characteristics in the diagrams:
1. Identify pairs of angles that are congruent in the triangles formed by the diagonals of each parallelogram.
2. Identify a side that is included between these angles and is congruent in both triangles.
Look for these features as you analyze each parallelogram's configuration to find which set of triangles meets the AAS conditions.
If you have more specific information or a diagram available, please share, and I can help analyze it further!
For a pair of triangles to be congruent by AAS, we need two angles and the non-included side of one triangle to be congruent to the corresponding two angles and non-included side of the other triangle.
Without visual representations of the parallelograms, I can't directly analyze which one meets the AAS criteria. However, you can look for the following characteristics in the diagrams:
1. Identify pairs of angles that are congruent in the triangles formed by the diagonals of each parallelogram.
2. Identify a side that is included between these angles and is congruent in both triangles.
Look for these features as you analyze each parallelogram's configuration to find which set of triangles meets the AAS conditions.
If you have more specific information or a diagram available, please share, and I can help analyze it further!