1. Translation rule: Move the point 12 units to the right and 11 units up. (-2, -1) -> (-2 + 12, -1 + 11) = (10, 10). (5 points)
2. Dilation rule: Enlarge the point by a scale factor of 7, centered at the origin. (-2, -1) -> (-2 * 7, -1 * 7) = (-14, -7). (5 points)
3. Reflection rule: Reflect the point across the y-axis. (-2, -1) -> (2, -1). (5 points)
4. Translation and dilation rule: Move the point 6 units to the right and 9 units up, then enlarge it by a scale factor of 2, centered at the origin. (-2, -1) -> (-2 + 6, -1 + 9) = (4, 8) -> (4 * 2, 8 * 2) = (8, 16). (15 points)
Consider the point (-2, -1). We must move this point to (10, 10). We can use a dilation, rotation, reflection and translation.
Create a series of rules to take point (-2, -1) to (10, 10). You must use at least 3 of the 4 different types to earn full-credit.
A rule that uses one distinct type of rule = 5 points.
A rule that uses two distinct types of rules = 15 points
5 answers
summary
To move the point (-2, -1) to (10, 10), we can use different types of rules such as translation, dilation, reflection, and rotation.
For example, we can use a translation rule to move the point 12 units to the right and 11 units up, resulting in (10, 10). This earns 5 points.
Alternatively, we can use a dilation rule to enlarge the point by a scale factor of 7, centered at the origin. This transforms (-2, -1) into (-14, -7), which earns 5 points.
Another option is to use a reflection rule to reflect the point across the y-axis. This changes (-2, -1) to (2, -1) and scores 5 points.
For a combination of rules, we can use a translation and dilation. First, we move the point 6 units to the right and 9 units up, resulting in (4, 8). Then, we enlarge it by a scale factor of 2, centered at the origin, obtaining (8, 16). This earns 15 points.
For example, we can use a translation rule to move the point 12 units to the right and 11 units up, resulting in (10, 10). This earns 5 points.
Alternatively, we can use a dilation rule to enlarge the point by a scale factor of 7, centered at the origin. This transforms (-2, -1) into (-14, -7), which earns 5 points.
Another option is to use a reflection rule to reflect the point across the y-axis. This changes (-2, -1) to (2, -1) and scores 5 points.
For a combination of rules, we can use a translation and dilation. First, we move the point 6 units to the right and 9 units up, resulting in (4, 8). Then, we enlarge it by a scale factor of 2, centered at the origin, obtaining (8, 16). This earns 15 points.
can you Brief it
Certainly! Here's a brief summary:
To move the point (-2, -1) to (10, 10), we can apply different types of rules such as translation, dilation, reflection, and rotation. One option is to use a translation rule and move the point 12 units to the right and 11 units up, resulting in (10, 10). Another option is to use a dilation rule and enlarge the point by a scale factor of 7, centered at the origin, which transforms it into (-14, -7). Additionally, we can use a reflection rule to reflect the point across the y-axis, changing (-2, -1) to (2, -1). Lastly, a combination of rules includes a translation and dilation, where we move the point 6 units to the right and 9 units up, then enlarge it by a scale factor of 2, centered at the origin, resulting in (8, 16).
To move the point (-2, -1) to (10, 10), we can apply different types of rules such as translation, dilation, reflection, and rotation. One option is to use a translation rule and move the point 12 units to the right and 11 units up, resulting in (10, 10). Another option is to use a dilation rule and enlarge the point by a scale factor of 7, centered at the origin, which transforms it into (-14, -7). Additionally, we can use a reflection rule to reflect the point across the y-axis, changing (-2, -1) to (2, -1). Lastly, a combination of rules includes a translation and dilation, where we move the point 6 units to the right and 9 units up, then enlarge it by a scale factor of 2, centered at the origin, resulting in (8, 16).
1 answer