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Given ABCD is a square, match all congruent parts. D E AD AC CE ABD LAED B C

Given ABCD is a square, match all congruent parts. D E AD AC CE ABD LAED B C

Elementary Geometry For College Students, 7e
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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**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.
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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