Question

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

Answer 1

summary

Answer 2

can you Brief it

Answer 3

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)

Answer 4

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.

Answer 5

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).