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
icon
Related questions
Topic Video
Question

can you help me with the following problem

### 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.
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.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Discrete Probability Distributions
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, geometry and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Elementary Geometry for College Students
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning