In the diagram, AB || CD and AD || BC- B D. When a transversal crosses parallel lines, Choose. angles are congruent. So ZBAC Choose. v and ZDAC Choose AC CA by the Choose.. AABC 2 ACDA by the Choose.. So ZB 2D because Choose. Fill in the missing parts of the paragraph proof.
In the diagram, AB || CD and AD || BC- B D. When a transversal crosses parallel lines, Choose. angles are congruent. So ZBAC Choose. v and ZDAC Choose AC CA by the Choose.. AABC 2 ACDA by the Choose.. So ZB 2D because Choose. Fill in the missing parts of the paragraph proof.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Hey, I'm stuck on this geometry question. I need to fill in the answers.
![In the diagram, \( \overline{AB} \parallel \overline{CD} \) and \( \overline{AD} \parallel \overline{BC} \).
When a transversal crosses parallel lines, [Choose] angles are congruent. So \( \angle BAC \cong \) [Choose] and \( \angle DAC \cong \) [Choose]. \( \overline{AC} \cong \overline{CA} \) by the [Choose]. \( \triangle ABC \cong \triangle CDA \) by the [Choose]. So \( \angle B \cong \angle D \) because [Choose].
**Figure Description:**
The diagram is a quadrilateral ABCD with a diagonal AC. Lines AB and CD are marked as parallel, and lines AD and BC are marked as parallel. The diagram includes numbered angles at vertices: 1 and 2 at A; 3 and 4 at C.
**Instruction:**
Fill in the missing parts of the paragraph proof.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2df96ef0-4439-4551-8e4c-1b385bb76502%2F5a01adcf-3f36-4ef9-bfc5-6af19b104770%2Fqcr79j_processed.jpeg&w=3840&q=75)
Transcribed Image Text:In the diagram, \( \overline{AB} \parallel \overline{CD} \) and \( \overline{AD} \parallel \overline{BC} \).
When a transversal crosses parallel lines, [Choose] angles are congruent. So \( \angle BAC \cong \) [Choose] and \( \angle DAC \cong \) [Choose]. \( \overline{AC} \cong \overline{CA} \) by the [Choose]. \( \triangle ABC \cong \triangle CDA \) by the [Choose]. So \( \angle B \cong \angle D \) because [Choose].
**Figure Description:**
The diagram is a quadrilateral ABCD with a diagonal AC. Lines AB and CD are marked as parallel, and lines AD and BC are marked as parallel. The diagram includes numbered angles at vertices: 1 and 2 at A; 3 and 4 at C.
**Instruction:**
Fill in the missing parts of the paragraph proof.
![The image shows a section of an educational proof exercise. Here's the transcription of the visible content:
---
*Choose...*
- ∠BCA
- ∠DAC
- ∠DCA
- alternate interior
- alternate exterior
- Reflexive Property of Congruence
- Side-Angle-Side Congruence Theorem
- Angle-Side-Angle Congruence Theorem
- opposite angles of parallelograms are congruent
- corresponding parts of congruent triangles are congruent
---
The paragraph includes a partially completed proof with dropdown selections for the student to fill in:
"Fill in the missing parts of the paragraph proof.
angles are congruent. So ∠BAC ≅ [Choose option] and ∠[Choose option]. ΔABC ≅ ΔCDA by the [Choose option]. So ∠B ≅ ∠D because [Choose option]."
This task requires understanding geometric proofs, specifically regarding angle congruence and triangle congruence theorems.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2df96ef0-4439-4551-8e4c-1b385bb76502%2F5a01adcf-3f36-4ef9-bfc5-6af19b104770%2Fdl3v96n_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The image shows a section of an educational proof exercise. Here's the transcription of the visible content:
---
*Choose...*
- ∠BCA
- ∠DAC
- ∠DCA
- alternate interior
- alternate exterior
- Reflexive Property of Congruence
- Side-Angle-Side Congruence Theorem
- Angle-Side-Angle Congruence Theorem
- opposite angles of parallelograms are congruent
- corresponding parts of congruent triangles are congruent
---
The paragraph includes a partially completed proof with dropdown selections for the student to fill in:
"Fill in the missing parts of the paragraph proof.
angles are congruent. So ∠BAC ≅ [Choose option] and ∠[Choose option]. ΔABC ≅ ΔCDA by the [Choose option]. So ∠B ≅ ∠D because [Choose option]."
This task requires understanding geometric proofs, specifically regarding angle congruence and triangle congruence theorems.
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