What the name of these polygons and the sum of the interior angles?

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
Question
What the name of these polygons and the sum of the interior angles?
The image contains two geometric shapes, each labeled with points.

**Top Shape:**

- A pentagon with vertices labeled as follows:
  - H, I, J, K, L
- The pentagon is irregular, meaning not all sides and angles are equal. The points are connected by straight lines forming the boundaries of the shape.

**Bottom Shape:**

- Another pentagon with vertices labeled as follows:
  - M, N, O, P, Q, R
- Similar to the first, this pentagon is also irregular. The points are connected by straight lines, forming the shape's boundaries.

Each vertex represents a corner of the pentagons, and the straight lines are the sides connecting the vertices. There's no additional information provided regarding the lengths of the sides or measure of the angles.
Transcribed Image Text:The image contains two geometric shapes, each labeled with points. **Top Shape:** - A pentagon with vertices labeled as follows: - H, I, J, K, L - The pentagon is irregular, meaning not all sides and angles are equal. The points are connected by straight lines forming the boundaries of the shape. **Bottom Shape:** - Another pentagon with vertices labeled as follows: - M, N, O, P, Q, R - Similar to the first, this pentagon is also irregular. The points are connected by straight lines, forming the shape's boundaries. Each vertex represents a corner of the pentagons, and the straight lines are the sides connecting the vertices. There's no additional information provided regarding the lengths of the sides or measure of the angles.
This image contains two geometric figures.

1. **Triangle ABC:**
   - This is a triangle with vertices labeled A, B, and C.
   - The sides of the triangle are formed by lines connecting the points A to B, B to C, and C to A.

2. **Quadrilateral DEFG:**
   - This quadrilateral has vertices labeled D, E, F, and G.
   - The shape is formed by lines connecting the points D to E, E to F, F to G, and G to D.
   - The quadrilateral appears to have a non-standard shape, meaning it’s not limited to just squares or rectangles. The angles and side lengths are not provided, so it is an irregular quadrilateral.

Each point is marked distinctly with a dot, and lines connecting these points represent the sides of the figures. These diagrams can be used to study properties of shapes such as side lengths, angles, and symmetry.
Transcribed Image Text:This image contains two geometric figures. 1. **Triangle ABC:** - This is a triangle with vertices labeled A, B, and C. - The sides of the triangle are formed by lines connecting the points A to B, B to C, and C to A. 2. **Quadrilateral DEFG:** - This quadrilateral has vertices labeled D, E, F, and G. - The shape is formed by lines connecting the points D to E, E to F, F to G, and G to D. - The quadrilateral appears to have a non-standard shape, meaning it’s not limited to just squares or rectangles. The angles and side lengths are not provided, so it is an irregular quadrilateral. Each point is marked distinctly with a dot, and lines connecting these points represent the sides of the figures. These diagrams can be used to study properties of shapes such as side lengths, angles, and symmetry.
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