Use the drop-down menus to explain if the two figures below are congruent, similar, or neither. If the figures are similar, state the scale factor.
Use the drop-down menus to explain if the two figures below are congruent, similar, or neither. If the figures are similar, state the scale factor.
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°.
Related questions
Question
Basically its ethier it can or it cannot
![**Instructions for the educational page:**
**Understanding Congruency and Similarity:**
Use the drop-down menus to explain if the two figures below are congruent, similar, or neither. If the figures are similar, state the scale factor.
**Graph Explanation:**
The graph displays two figures on a Cartesian coordinate plane.
- **Figure MNOP**:
- M: (-8,4)
- N: (-4,4)
- O: (-4,8)
- P: (-8,8)
This figure is a quadrilateral located in the second quadrant.
- **Figure BCDE**:
- B: (0,-1)
- C: (2,-1)
- D: (2,1)
- E: (0,1)
This figure is a tight quadrilateral located across the first and fourth quadrants.
**Drop-Down Menu Interactions:**
**First Option:**
_Figure MNOP_ [Select Option: (is / is not)] _congruent to Figure BCDE because rigid motions_ [Select Option: (will / will not)] _be used to map Figure MNOP onto Figure BCDE._
**Second Option:**
_Figure MNOP_ [Select Option: (is / is not)] _similar to Figure BCDE because rigid motions and/or dilations_ [Select Option: (will / will not)] _be used to map Figure MNOP onto Figure BCDE._ [Blank Box for Scale Factor Input]
**Instructions to Students:**
1. Observe the shape and size of both figures MNOP and BCDE on the Cartesian plane.
2. Determine if one figure can be mapped onto the other using rigid motions alone (translation, rotation, reflection).
3. Determine if one figure can be mapped onto the other through dilation (scaling), including the identification of the scale factor, if applicable.
4. Use the drop-down menus to select the correct answers to complete the statements about the congruence or similarity of the figures.
**Supporting Diagrams:**
The graph crucially aids in visualizing the shapes and positions of the figures in relation to the coordinate plane, assisting in making comparisons regarding their congruence and similarity.
**Hint:** Refer to specific properties of congruency (identical shape and size) and similarity (proportional dimensions and same shape, including possible scaling factors).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4dc66e47-5b7f-4839-a2bd-046781c4d471%2Ff61661dd-d20d-48df-8255-87a2f68a13de%2Fgb4jbp_processed.png&w=3840&q=75)
Transcribed Image Text:**Instructions for the educational page:**
**Understanding Congruency and Similarity:**
Use the drop-down menus to explain if the two figures below are congruent, similar, or neither. If the figures are similar, state the scale factor.
**Graph Explanation:**
The graph displays two figures on a Cartesian coordinate plane.
- **Figure MNOP**:
- M: (-8,4)
- N: (-4,4)
- O: (-4,8)
- P: (-8,8)
This figure is a quadrilateral located in the second quadrant.
- **Figure BCDE**:
- B: (0,-1)
- C: (2,-1)
- D: (2,1)
- E: (0,1)
This figure is a tight quadrilateral located across the first and fourth quadrants.
**Drop-Down Menu Interactions:**
**First Option:**
_Figure MNOP_ [Select Option: (is / is not)] _congruent to Figure BCDE because rigid motions_ [Select Option: (will / will not)] _be used to map Figure MNOP onto Figure BCDE._
**Second Option:**
_Figure MNOP_ [Select Option: (is / is not)] _similar to Figure BCDE because rigid motions and/or dilations_ [Select Option: (will / will not)] _be used to map Figure MNOP onto Figure BCDE._ [Blank Box for Scale Factor Input]
**Instructions to Students:**
1. Observe the shape and size of both figures MNOP and BCDE on the Cartesian plane.
2. Determine if one figure can be mapped onto the other using rigid motions alone (translation, rotation, reflection).
3. Determine if one figure can be mapped onto the other through dilation (scaling), including the identification of the scale factor, if applicable.
4. Use the drop-down menus to select the correct answers to complete the statements about the congruence or similarity of the figures.
**Supporting Diagrams:**
The graph crucially aids in visualizing the shapes and positions of the figures in relation to the coordinate plane, assisting in making comparisons regarding their congruence and similarity.
**Hint:** Refer to specific properties of congruency (identical shape and size) and similarity (proportional dimensions and same shape, including possible scaling factors).
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