Need answers and explanation This image presents a table used for identifying congruence postulates for various geometric figures. The column headers include:- **SSS (Side-Side-Side)**- **SAS (Side-Angle-Side)**- **ASA (Angle-Side-Angle)**- **AAS (Angle-Angle-Side)**- **Not enough information**Each row contains a different diagram of triangles or quadrilaterals. Checkboxes are available in each column to indicate which postulate or lack of information applies to each figure.### Diagram Descriptions:1. **Top Row**: Two overlapping triangles share a side. It highlights angles and sides for comparison. 2. **Second Row**: A diagonal divides a rectangle into two triangles. The rectangle's angles and the diagonal are marked.3. **Third Row**: Two triangles share a vertex, and their opposite sides are marked.4. **Fourth Row**: Two open-ended triangles with vertex angles marked connect at a point.Each figure's corresponding congruence postulate can be determined by analyzing the sides and angles marked in the diagrams. The image presents a geometric problem where you must determine the postulate or theorem to use for proving the congruence of each pair of triangles. The options are:- SSS (Side-Side-Side)- SAS (Side-Angle-Side)- ASA (Angle-Side-Angle)- AAS (Angle-Angle-Side)- Not enough informationEach example shows two triangles with some sides or angles marked. Here's a description of each:1. **First Pair:** - Diagrams depict two overlapping triangles, each marked with small dashes on corresponding sides, suggesting they are of equal length. - Possible congruence criteria to consider might be SSS if all three sides are proven equal.2. **Second Pair:** - Two triangles sharing a side with corresponding angles marked, possibly indicating SAS or ASA. - Requires examination of the given angle-side relationships.3. **Third Pair:** - Two triangles positioned with overlapping parts, and possibly having angles or sides that match. - Evaluate based on available side and angle data.4. **Fourth Pair:** - Another set of overlapping triangles, potentially lacking sufficient markings to determine congruence. - Check what is provided; may result in "Not enough information" if criteria are not met.Each section has checkboxes to select the appropriate postulate or theorem, or to indicate insufficient information.

Answered: Image /qna-images/answer/27847af4-5afc-47b8-9430-c96aa909f737.jpg

Answered: SSS SAS ASA AAS Not enough information

Math

Geometry

SSS SAS ASA AAS Not enough information

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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Concept explainers

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Question

Need answers and explanation

This image presents a table used for identifying congruence postulates for various geometric figures. The column headers include:

- **SSS (Side-Side-Side)**
- **SAS (Side-Angle-Side)**
- **ASA (Angle-Side-Angle)**
- **AAS (Angle-Angle-Side)**
- **Not enough information**

Each row contains a different diagram of triangles or quadrilaterals. Checkboxes are available in each column to indicate which postulate or lack of information applies to each figure.

### Diagram Descriptions:

1. **Top Row**: Two overlapping triangles share a side. It highlights angles and sides for comparison.

2. **Second Row**: A diagonal divides a rectangle into two triangles. The rectangle's angles and the diagonal are marked.

3. **Third Row**: Two triangles share a vertex, and their opposite sides are marked.

4. **Fourth Row**: Two open-ended triangles with vertex angles marked connect at a point.

Each figure's corresponding congruence postulate can be determined by analyzing the sides and angles marked in the diagrams.

The image presents a geometric problem where you must determine the postulate or theorem to use for proving the congruence of each pair of triangles. The options are:

- SSS (Side-Side-Side)
- SAS (Side-Angle-Side)
- ASA (Angle-Side-Angle)
- AAS (Angle-Angle-Side)
- Not enough information

Each example shows two triangles with some sides or angles marked. Here's a description of each:

1. **First Pair:**
- Diagrams depict two overlapping triangles, each marked with small dashes on corresponding sides, suggesting they are of equal length.
- Possible congruence criteria to consider might be SSS if all three sides are proven equal.

2. **Second Pair:**
- Two triangles sharing a side with corresponding angles marked, possibly indicating SAS or ASA.
- Requires examination of the given angle-side relationships.

3. **Third Pair:**
- Two triangles positioned with overlapping parts, and possibly having angles or sides that match.
- Evaluate based on available side and angle data.

4. **Fourth Pair:**
- Another set of overlapping triangles, potentially lacking sufficient markings to determine congruence.
- Check what is provided; may result in "Not enough information" if criteria are not met.

Each section has checkboxes to select the appropriate postulate or theorem, or to indicate insufficient information.

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