Decide if each statement contains enough information to show that two triangles are congruent. Determine if each statement below is correct by selecting Yes or No. Statement Yes No At least one angle in each triangle is a right angle. A rigid motion carries one of the triangles onto the other. At least two pairs of corresponding angles are congruent. All three corresponding pairs of sides for the two triangles are equal in measure.
Decide if each statement contains enough information to show that two triangles are congruent. Determine if each statement below is correct by selecting Yes or No. Statement Yes No At least one angle in each triangle is a right angle. A rigid motion carries one of the triangles onto the other. At least two pairs of corresponding angles are congruent. All three corresponding pairs of sides for the two triangles are equal in measure.
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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![### Determining Triangle Congruence
Determine if each statement contains enough information to show that two triangles are congruent. Indicate if each statement below is correct by selecting Yes or No.
#### Statements
1. **At least one angle in each triangle is a right angle.**
- Yes ☐
- No ☐
2. **A rigid motion carries one of the triangles onto the other.**
- Yes ☐
- No ☐
3. **At least two pairs of corresponding angles are congruent.**
- Yes ☐
- No ☐
4. **All three corresponding pairs of sides for the two triangles are equal in measure.**
- Yes ☐
- No ☐
Each statement needs to be analyzed independently to determine if it provides sufficient information to conclude that two triangles are congruent.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa19b2cf3-e4ba-4c54-87ea-4b78f08e1dba%2F3809855f-c86d-4904-ab91-079b21c2793c%2F0lmb3ly_processed.png&w=3840&q=75)
Transcribed Image Text:### Determining Triangle Congruence
Determine if each statement contains enough information to show that two triangles are congruent. Indicate if each statement below is correct by selecting Yes or No.
#### Statements
1. **At least one angle in each triangle is a right angle.**
- Yes ☐
- No ☐
2. **A rigid motion carries one of the triangles onto the other.**
- Yes ☐
- No ☐
3. **At least two pairs of corresponding angles are congruent.**
- Yes ☐
- No ☐
4. **All three corresponding pairs of sides for the two triangles are equal in measure.**
- Yes ☐
- No ☐
Each statement needs to be analyzed independently to determine if it provides sufficient information to conclude that two triangles are congruent.
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