Quadrilateral ABCD is congruent to quadrilateral LMNO. Select all statements that are true.

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

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.
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.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Quadrilaterals
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