Question

1. aylin walks from the bicycle to the umbrella and then to the moon. how many blocks did she walk? 4. find the distance between (2, 3) and (2, 7). the distance is 3 units 5. how far is the circle from the triangle?

Explanation:

Step1: Analyze movement from Bicycle to Umbrella

Count the blocks from the Bicycle's position to the Umbrella's position on the grid. Moving horizontally 2 blocks and vertically 1 block, the total is $2 + 1=3$ blocks.

Step2: Analyze movement from Umbrella to Moon

Count the blocks from the Umbrella's position to the Moon's position on the grid. Moving horizontally 3 blocks and vertically 2 blocks, the total is $3+2 = 5$ blocks.

Step3: Calculate total blocks walked

Add the two - part distances together. $3 + 5=8$ blocks.

For the distance between $(2,3)$ and $(2,7)$:

Step1: Identify the distance formula for points with same x - coordinate

When two points have the same x - coordinate $(x_1=x_2)$, the distance $d$ between them is given by $d=\vert y_2 - y_1\vert$. Here $x_1 = x_2=2$, $y_1 = 3$, $y_2 = 7$.

Step2: Calculate the distance

$d=\vert7 - 3\vert=4$ units.

For the distance between the Circle and the Triangle:

Step1: Count horizontal and vertical displacements

Count the horizontal and vertical blocks between the Circle and the Triangle. Horizontally 2 blocks and vertically 3 blocks.

Step2: Calculate total distance

The total number of blocks is $2+3 = 5$ blocks.

Answer:

1. Aylin walked 8 blocks.
2. The distance between $(2,3)$ and $(2,7)$ is 4 units.
3. The Circle is 5 blocks from the Triangle.