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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Quadrilateral ABCD is congruent to quadrilateral LMNO. Select all statements that are true.
![**Congruent Quadrilaterals Activity**
**Objective:**
Determine which statements about congruent quadrilaterals ABCD and LMNO are true.
**Description:**
Examine the given quadrilaterals ABCD and LMNO. Both figures are shown to be congruent, meaning they have the same size and shape. Use this information to evaluate the following statements and select all that are true.
**Diagrams:**
1. **Quadrilateral ABCD** - A four-sided polygon with vertices labeled A, B, C, and D.
2. **Quadrilateral LMNO** - Another four-sided polygon with vertices labeled L, M, N, and O. The quadrilateral is rotated but is congruent to ABCD.
**Statements to Evaluate:**
- [ ] AD is congruent to LM.
- [ ] CD is congruent to NO.
- [ ] Angle BCD is congruent to angle OLM.
- [ ] Angle ABC is congruent to angle LMN.
**Instructions:**
Analyze the diagrams and based on the properties of congruence, mark all the statements that are true. Remember that congruent shapes have equal corresponding sides and angles.
**Note to Educators:**
This exercise helps students understand the concept of congruence in geometric shapes and how corresponding parts of congruent figures are equal. Encourage students to visually inspect the diagrams and apply their knowledge of congruence to verify each statement.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fce362edb-c002-49f1-add1-d9933973e98b%2F52fe5011-9ca8-4d5d-8bd1-ac4b362be311%2Faxu863p_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Congruent Quadrilaterals Activity**
**Objective:**
Determine which statements about congruent quadrilaterals ABCD and LMNO are true.
**Description:**
Examine the given quadrilaterals ABCD and LMNO. Both figures are shown to be congruent, meaning they have the same size and shape. Use this information to evaluate the following statements and select all that are true.
**Diagrams:**
1. **Quadrilateral ABCD** - A four-sided polygon with vertices labeled A, B, C, and D.
2. **Quadrilateral LMNO** - Another four-sided polygon with vertices labeled L, M, N, and O. The quadrilateral is rotated but is congruent to ABCD.
**Statements to Evaluate:**
- [ ] AD is congruent to LM.
- [ ] CD is congruent to NO.
- [ ] Angle BCD is congruent to angle OLM.
- [ ] Angle ABC is congruent to angle LMN.
**Instructions:**
Analyze the diagrams and based on the properties of congruence, mark all the statements that are true. Remember that congruent shapes have equal corresponding sides and angles.
**Note to Educators:**
This exercise helps students understand the concept of congruence in geometric shapes and how corresponding parts of congruent figures are equal. Encourage students to visually inspect the diagrams and apply their knowledge of congruence to verify each statement.
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