**Problem 2** Select **all** of the pairs of polygons in which the image appears to be the result of a dilation of the pre-image. (*Select all that apply.*) **Description of Each Diagram:** 1. **Top Left Diagram:** - Shows two polygons with a series of dotted lines connecting corresponding vertices. The inner polygon appears smaller and is located inside the larger polygon. However, the shapes appear different, suggesting a transformation other than dilation. 2. **Top Right Diagram:** - Displays two polygons connected by dashed lines extending from a common external point (center of dilation). The smaller polygon is inside the larger one and maintains a similar shape, indicative of dilation. 3. **Bottom Left Diagram:** - Features two polygons in which a smaller polygon is nested within a larger one. Both polygons share a similar shape and are connected by lines drawn from each vertex of the inner polygon extending towards corresponding points on the outer polygon, suggesting dilation. 4. **Bottom Right Diagram:** - Two polygons are connected by dashed lines emanating from a point outside both polygons. The polygons have a different orientation and do not appear to maintain similarity in shape, indicating a transformation other than dilation. **Instructions for Solution:** Carefully analyze each pair of polygons to identify those that maintain proportionality and similarity indicating a dilation transformation. Select those that fulfill these criteria.
**Problem 2** Select **all** of the pairs of polygons in which the image appears to be the result of a dilation of the pre-image. (*Select all that apply.*) **Description of Each Diagram:** 1. **Top Left Diagram:** - Shows two polygons with a series of dotted lines connecting corresponding vertices. The inner polygon appears smaller and is located inside the larger polygon. However, the shapes appear different, suggesting a transformation other than dilation. 2. **Top Right Diagram:** - Displays two polygons connected by dashed lines extending from a common external point (center of dilation). The smaller polygon is inside the larger one and maintains a similar shape, indicative of dilation. 3. **Bottom Left Diagram:** - Features two polygons in which a smaller polygon is nested within a larger one. Both polygons share a similar shape and are connected by lines drawn from each vertex of the inner polygon extending towards corresponding points on the outer polygon, suggesting dilation. 4. **Bottom Right Diagram:** - Two polygons are connected by dashed lines emanating from a point outside both polygons. The polygons have a different orientation and do not appear to maintain similarity in shape, indicating a transformation other than dilation. **Instructions for Solution:** Carefully analyze each pair of polygons to identify those that maintain proportionality and similarity indicating a dilation transformation. Select those that fulfill these criteria.
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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Transcribed Image Text:**Problem 2**
Select **all** of the pairs of polygons in which the image appears to be the result of a dilation of the pre-image.
(*Select all that apply.*)
**Description of Each Diagram:**
1. **Top Left Diagram:**
- Shows two polygons with a series of dotted lines connecting corresponding vertices. The inner polygon appears smaller and is located inside the larger polygon. However, the shapes appear different, suggesting a transformation other than dilation.
2. **Top Right Diagram:**
- Displays two polygons connected by dashed lines extending from a common external point (center of dilation). The smaller polygon is inside the larger one and maintains a similar shape, indicative of dilation.
3. **Bottom Left Diagram:**
- Features two polygons in which a smaller polygon is nested within a larger one. Both polygons share a similar shape and are connected by lines drawn from each vertex of the inner polygon extending towards corresponding points on the outer polygon, suggesting dilation.
4. **Bottom Right Diagram:**
- Two polygons are connected by dashed lines emanating from a point outside both polygons. The polygons have a different orientation and do not appear to maintain similarity in shape, indicating a transformation other than dilation.
**Instructions for Solution:**
Carefully analyze each pair of polygons to identify those that maintain proportionality and similarity indicating a dilation transformation. Select those that fulfill these criteria.
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