A board game uses a triangular piece measuring 3 inches on each side. The travel version of the game uses a triangle in a proportional relationship to the original. It measures 0.5 inches on each side. Identify the scale factor used to create the travel version of the piece.(1 point)
Responses
3.5
3.5
−16
negative Start Fraction 1 over 6 End Fraction
6
6
16
5 answers
The scale factor used to create the travel version of the piece is 0.5/3 = 1/6 or 0.1667.
Use the image to answer the question.
An illustration shows two triangles positioned differently. The first triangle has its longest side along the baseline. The second triangle has its longest side in the upper left, and the triangle is tilted upward to the right. The first triangle has a base of 18 inches and sides as 10 inches and 15 inches. The second triangle shows three sides as 30 inches, 36 inches, and 20 inches.
Randee draws these two triangles with lengths given in centimeters. What scale factor does she use to create the copy on the right from the original on the left?
(1 point)
Responses
12
Start Fraction 1 over 2 End Fraction
113
1 Start Fraction 1 over 3 End Fraction
2
2
123
An illustration shows two triangles positioned differently. The first triangle has its longest side along the baseline. The second triangle has its longest side in the upper left, and the triangle is tilted upward to the right. The first triangle has a base of 18 inches and sides as 10 inches and 15 inches. The second triangle shows three sides as 30 inches, 36 inches, and 20 inches.
Randee draws these two triangles with lengths given in centimeters. What scale factor does she use to create the copy on the right from the original on the left?
(1 point)
Responses
12
Start Fraction 1 over 2 End Fraction
113
1 Start Fraction 1 over 3 End Fraction
2
2
123
To find the scale factor used by Randee, we can compare the corresponding sides of the two triangles.
For the first triangle, the ratio of the base to the longer side is 18/15 = 1.2.
For the second triangle, the ratio of the corresponding sides (base to longer side) is 30/20 = 1.5.
Therefore, the scale factor used by Randee is 1.5/1.2 = 1.25 or 5/4.
For the first triangle, the ratio of the base to the longer side is 18/15 = 1.2.
For the second triangle, the ratio of the corresponding sides (base to longer side) is 30/20 = 1.5.
Therefore, the scale factor used by Randee is 1.5/1.2 = 1.25 or 5/4.
Use the image to answer the question.
A grid is shown with a rectangle drawn on it. The rectangle is 10 units long and 2 units wide, labeled with 10 and 2 respectively.
Scale factor: 1 box = 6 inches
Maisie needs to convert this scale drawing from a scale factor of 1 box = 6 inches to a scale factor of 1 box = 12 inches. The length in the scale drawing shown is 10 boxes. What will be the length of the boxes in the new drawing?
(1 point)
Responses
20
20
1
1
12
12
5
A grid is shown with a rectangle drawn on it. The rectangle is 10 units long and 2 units wide, labeled with 10 and 2 respectively.
Scale factor: 1 box = 6 inches
Maisie needs to convert this scale drawing from a scale factor of 1 box = 6 inches to a scale factor of 1 box = 12 inches. The length in the scale drawing shown is 10 boxes. What will be the length of the boxes in the new drawing?
(1 point)
Responses
20
20
1
1
12
12
5
Since each box in the original scale drawing represents 6 inches, and Maisie wants to change the scale factor to 1 box = 12 inches, the new length of each box in the scale drawing will be 6 inches * (12/6) = 12 inches.
Therefore, the length of the boxes in the new drawing will be 12 inches.
Therefore, the length of the boxes in the new drawing will be 12 inches.