Refer to the diagram shown. C If BAC= DCA, the Choose... theorem can be used to show that AABE ACDE.

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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Refer to the diagram shown
### Topic 4: Assessment Form A Version 1

**Instructions:** Refer to the diagram shown.

**Diagram Explanation:**
The diagram depicts two intersecting lines forming two triangles within a larger quadrilateral. The vertices of the quadrilateral are labeled A, B, C, and D. The intersection of the two lines within the quadrilateral creates point E. Two pairs of congruent segments are indicated within the diagram.

- **Vertices:** 
    - A (bottom-left corner)
    - B (top-left corner)
    - C (top-right corner)
    - D (bottom-right corner)
    - E (intersection point within the quadrilateral)

- **Congruent Segments:**
    - \( \overline{AE} \) is congruent to \( \overline{CE} \)
    - \( \overline{BE} \) is congruent to \( \overline{DE} \)

**Problem Statement:**
"If ∠BAC = ∠DCA, the _____________ theorem can be used to show that ΔABE ≅ ΔCDE."

Options for the theorem can be selected from a dropdown menu.

**Multiple-choice options (not visible in the image):**
- Angle-Side-Angle (ASA) Theorem
- Side-Angle-Side (SAS) Theorem
- Side-Side-Side (SSS) Theorem

### Review Progress Section

- Review the problems and progress through the assessment as required.
- Select the appropriate theorem from the dropdown to justify the congruence of the triangles.

**Note for the Educator:** 
Ensure students understand how to apply different triangle congruence theorems for geometric proofs, and encourage them to visualize and label diagrams carefully to identify congruent triangles.
Transcribed Image Text:### Topic 4: Assessment Form A Version 1 **Instructions:** Refer to the diagram shown. **Diagram Explanation:** The diagram depicts two intersecting lines forming two triangles within a larger quadrilateral. The vertices of the quadrilateral are labeled A, B, C, and D. The intersection of the two lines within the quadrilateral creates point E. Two pairs of congruent segments are indicated within the diagram. - **Vertices:** - A (bottom-left corner) - B (top-left corner) - C (top-right corner) - D (bottom-right corner) - E (intersection point within the quadrilateral) - **Congruent Segments:** - \( \overline{AE} \) is congruent to \( \overline{CE} \) - \( \overline{BE} \) is congruent to \( \overline{DE} \) **Problem Statement:** "If ∠BAC = ∠DCA, the _____________ theorem can be used to show that ΔABE ≅ ΔCDE." Options for the theorem can be selected from a dropdown menu. **Multiple-choice options (not visible in the image):** - Angle-Side-Angle (ASA) Theorem - Side-Angle-Side (SAS) Theorem - Side-Side-Side (SSS) Theorem ### Review Progress Section - Review the problems and progress through the assessment as required. - Select the appropriate theorem from the dropdown to justify the congruence of the triangles. **Note for the Educator:** Ensure students understand how to apply different triangle congruence theorems for geometric proofs, and encourage them to visualize and label diagrams carefully to identify congruent triangles.
### Topic 4: Assessment Form A Version 1

#### Refer to the Diagram Below:
(Unfortunately, the actual diagram illustrating the problem is not displayed here.)

**Question:**
Given \(\angle BAC = \angle DCA\), what theorem can be used to show that triangles \( \triangle BAC \) and \( \triangle DCA \) are congruent?

**Answer Choices:**
- SAS
- AAS
- SSS
- ASA

**Select the correct option:**
(There is a dropdown menu to choose the correct theorem.)

**Dropdown Menu:**
- Choose...
- SAS
- AAS
- SSS
- ASA

Please choose the appropriate theorem to prove the congruence of triangles \( \triangle BAC \) and \( \triangle DCA \).
Transcribed Image Text:### Topic 4: Assessment Form A Version 1 #### Refer to the Diagram Below: (Unfortunately, the actual diagram illustrating the problem is not displayed here.) **Question:** Given \(\angle BAC = \angle DCA\), what theorem can be used to show that triangles \( \triangle BAC \) and \( \triangle DCA \) are congruent? **Answer Choices:** - SAS - AAS - SSS - ASA **Select the correct option:** (There is a dropdown menu to choose the correct theorem.) **Dropdown Menu:** - Choose... - SAS - AAS - SSS - ASA Please choose the appropriate theorem to prove the congruence of triangles \( \triangle BAC \) and \( \triangle DCA \).
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