Determine if the two triangles are congruent. If so, then state how you know. If not, then choose not enough information. Make sure to add any acceptable markings.
Determine if the two triangles are congruent. If so, then state how you know. If not, then choose not enough information. Make sure to add any acceptable markings.
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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![**Determine if the two triangles are congruent. If so, then state how you know. If not, then choose not enough information.**
Make sure to add any acceptable markings.
![Image of two triangles with parallel sides and a diagonal as a common angle.]
Options:
- a) SAS (Side-Angle-Side)
- b) AAS (Angle-Angle-Side)
- c) ASA (Angle-Side-Angle)
- d) Not enough information
- e) SSS (Side-Side-Side)
- f) HL (Hypotenuse-Leg)
**Explanation of Diagram:**
The image shows a quadrilateral with one diagonal drawn, dividing the shape into two triangles. The top and bottom sides of the quadrilateral are marked as parallel with arrows, and the diagonal is a common side for both triangles. The parallel sides suggest the possibility of alternate interior angles being equal.
Consider the congruency criteria based on the given options to determine if the triangles are congruent.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F200a7211-fb12-4247-90d5-03bbbc2f2dbd%2Fbfcf96bd-43ef-4cfc-ba8a-4cd1b4347d3b%2Fniinf8c_processed.png&w=3840&q=75)
Transcribed Image Text:**Determine if the two triangles are congruent. If so, then state how you know. If not, then choose not enough information.**
Make sure to add any acceptable markings.
![Image of two triangles with parallel sides and a diagonal as a common angle.]
Options:
- a) SAS (Side-Angle-Side)
- b) AAS (Angle-Angle-Side)
- c) ASA (Angle-Side-Angle)
- d) Not enough information
- e) SSS (Side-Side-Side)
- f) HL (Hypotenuse-Leg)
**Explanation of Diagram:**
The image shows a quadrilateral with one diagonal drawn, dividing the shape into two triangles. The top and bottom sides of the quadrilateral are marked as parallel with arrows, and the diagonal is a common side for both triangles. The parallel sides suggest the possibility of alternate interior angles being equal.
Consider the congruency criteria based on the given options to determine if the triangles are congruent.
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