Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter12: Angle Relationships And Transformations
Section12.4: Translations
Problem 3C
Related questions
Question
![**Educational Resource: Congruent Parts in a Square**
**Problem Statement:**
Given \(ABCD\) is a square, match all congruent parts.
**Diagram Explanation:**
The provided diagram shows a square \(ABCD\) with diagonal lines \(AC\) and \(BD\) intersecting at point \(E\). The vertices of the square are labeled \(A, B, C,\) and \(D\).
**Tasks:**
Identify and match congruent lines and angles.
**Interactive Matching Section:**
Use this section below to identify and match the congruent parts:
1. **\(AD \approx\)**
- Options: \( \boxed{\text{AB}} \) ✎
2. **\(AC \approx\)**
- Options: \(\boxed{\text{BD}}\) ✎
3. **\(CE \approx\)**
- Options: \(\boxed{\text{AE}}\) ✎
4. **\(\angle ABD \approx\)**
- Options: \(\boxed{\angle BDC}\) ✎
5. **\(\angle AED \approx\)**
- Options: \(\boxed{\angle CED}\) ✎
**Hints:**
- Remember that all sides of a square are equal.
- The diagonals of a square are equal and intersect at 90 degrees.
- The diagonals bisect each other, so segments formed by the intersection are equal.
- Opposite angles of intersecting diagonals in a square are congruent.
This exercise helps in understanding the properties of squares and congruent parts within geometric shapes.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0449a0b2-b573-4c37-a73f-7ccfb17fc319%2Ff3b93ec5-729f-4da7-b56f-f7ab37dd941b%2F7nd2slt_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Educational Resource: Congruent Parts in a Square**
**Problem Statement:**
Given \(ABCD\) is a square, match all congruent parts.
**Diagram Explanation:**
The provided diagram shows a square \(ABCD\) with diagonal lines \(AC\) and \(BD\) intersecting at point \(E\). The vertices of the square are labeled \(A, B, C,\) and \(D\).
**Tasks:**
Identify and match congruent lines and angles.
**Interactive Matching Section:**
Use this section below to identify and match the congruent parts:
1. **\(AD \approx\)**
- Options: \( \boxed{\text{AB}} \) ✎
2. **\(AC \approx\)**
- Options: \(\boxed{\text{BD}}\) ✎
3. **\(CE \approx\)**
- Options: \(\boxed{\text{AE}}\) ✎
4. **\(\angle ABD \approx\)**
- Options: \(\boxed{\angle BDC}\) ✎
5. **\(\angle AED \approx\)**
- Options: \(\boxed{\angle CED}\) ✎
**Hints:**
- Remember that all sides of a square are equal.
- The diagonals of a square are equal and intersect at 90 degrees.
- The diagonals bisect each other, so segments formed by the intersection are equal.
- Opposite angles of intersecting diagonals in a square are congruent.
This exercise helps in understanding the properties of squares and congruent parts within geometric shapes.
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