The image contains two problems. The first problem is a geometry problem where a triangle on a grid needs to be translated so that point A moves to point B. We need to draw the translated triangle. The second problem is a table completion problem. The table shows the weight of some fruits and vegetables in grams and kilograms. We need to complete the missing values in the table.
2025/4/4
1. Problem Description
The image contains two problems.
The first problem is a geometry problem where a triangle on a grid needs to be translated so that point A moves to point B. We need to draw the translated triangle.
The second problem is a table completion problem. The table shows the weight of some fruits and vegetables in grams and kilograms. We need to complete the missing values in the table.
2. Solution Steps
Geometry problem:
The point A is at coordinate (1, 1) and point B is at (4, 1).
Therefore the translation vector is (4-1, 1-1) = (3, 0). This means we need to shift the triangle 3 units to the right.
The vertices of the original triangle are (1,1), (2,5), (4,5).
The vertices of the translated triangle are (1+3,1+0), (2+3,5+0), (4+3,5+0), i.e., (4,1), (5,5), (7,5).
Draw the triangle with the new vertices.
Table completion problem:
We know that 1 kilogram = 1000 grams.
For apples:
We are given the weight of apples in kilograms as 1.
2. To find the weight in grams, we multiply by 1000:
grams.
For grapes:
We are given the weight of grapes in grams as
2
5
0. To find the weight in kilograms, we divide by 1000:
kilograms.
For ginger:
We are given the weight of ginger in kilograms as 0.
0
3. To find the weight in grams, we multiply by 1000:
grams.
3. Final Answer
Geometry Problem:
The translated triangle has vertices at (4, 1), (5, 5), and (7, 5).
Table Completion Problem:
Apples: 1200 grams
Grapes: 0.25 kilograms
Ginger: 30 grams