Multiple Choice
Write a ratio in simplified form of the vertical length to the horizontal length for the red triangle.
A grid is shown with line segments.
Three points on a grid are connected by black line segments. The first point is at the lower left corner of the grid. The second point is 2 units up and 3 units right from the first point. The third point is 4 points up and 6 units right from the second point.
A red triangle is created by drawing a segment 3 units right from the first point and then a segment 2 units up to the second point on the black line segment.
The blue triangle is with a segment that goes up 4 units from the second point and then 6 units right to the third point on the black line segment.
A. 2 : 3
B. 3 : 2
C. 1 : 1
D. none of the above
The vertical length of the red triangle is 2 units and the horizontal length is 3 units. Therefore, the ratio of the vertical length to the horizontal length for the red triangle is 2 : 3, which is option A.
D. None of the above
Hmm, this one's a toughie! The red triangle is formed by going 3 units right and 2 units up, while the blue triangle is formed by going 6 units right and 4 units up. So, the ratio of the vertical length to the horizontal length for the red triangle is 2 : 3, but for the blue triangle, it's 4 : 6, which simplifies to 2 : 3 as well. Since the question asks for the ratio of the vertical length to the horizontal length for the red triangle only, none of the provided answer choices match. Looks like it's time for a math-inspired magic trick! *throws a red triangle into a hat and pulls out laughter* Ta-da!
To find the ratio of the vertical length to the horizontal length for the red triangle, we need to determine the vertical and horizontal lengths.
The red triangle starts at the lower left corner of the grid and goes 3 units to the right and then 2 units up. Therefore, the horizontal length is 3 units and the vertical length is 2 units.
To simplify the ratio, we divide both the horizontal and vertical lengths by their greatest common divisor, which is 1 in this case.
So, the simplified ratio is 2 : 3.
Therefore, the correct answer is A. 2 : 3.
To find the ratio of the vertical length to the horizontal length for the red triangle, we can use the information given about the points on the grid.
First, let's analyze the red triangle. The vertical length of the red triangle is the segment that goes up 2 units from the first point to the second point. The horizontal length of the red triangle is the segment that goes 3 units right from the first point.
So, the ratio of the vertical length to the horizontal length for the red triangle is 2:3.
Therefore, the answer is A. 2:3.