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

Family of Curves

A family of curves is a group of curves that are each described by a parametrization in which one or more variables are parameters. In general, the parameters have more complexity on the assembly of the curve than an ordinary linear transformation. These families appear commonly in the solution of differential equations. When a constant of integration is added, it is normally modified algebraically until it no longer replicates a plain linear transformation. The order of a differential equation depends on how many uncertain variables appear in the corresponding curve. The order of the differential equation acquired is two if two unknown variables exist in an equation belonging to this family.

XZ Plane

In order to understand XZ plane, it's helpful to understand two-dimensional and three-dimensional spaces. To plot a point on a plane, two numbers are needed, and these two numbers in the plane can be represented as an ordered pair (a,b) where a and b are real numbers and a is the horizontal coordinate and b is the vertical coordinate. This type of plane is called two-dimensional and it contains two perpendicular axes, the horizontal axis, and the vertical axis.

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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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