A scale drawing of an object is the same shape at the object but a different size. The scale of a drawing is a comparison of the length used on a drawing to the length it represents. The scale is written as a ratio. The ratio of two corresponding sides in similar figures is called the scale factor Scale factor= length in image / corresponding length in object If one shape can become another using revising, then the shapes are similar. Hence, two shapes are similar when one can become the other after a resize, flip, slide or turn. In the photograph below showing the side view of a train engine. Scale factor is 1:200This means that a length of 1 cm on the photograph above corresponds to a length of 200cm or 2 m, of the actual engine. The scale can also be written as the ratio of two lengths. 1. If the length of the model is 11cm, then the overall length of the engine in the photograph above, including the couplings (mechanism used to connect) is: a) 22cm b) 220cm c) 220m d) 22m 2. What will affect the similarity of any two polygons? a) They are flipped horizontally b) They are dilated by a scale factor c) They are translated down d) They are not the mirror image of one another. 3. What is the actual width of the door if the width of the door in photograph is 0.35cm? a) 0.7m b) 0.7cm c) 0.07cm d) 0.07m 4. If two similar triangles have a scale factor 5:3 which statement regarding the two triangles is true? a) The ratio of their perimeters is 15:1 b) Their altitudes have a ratio 25:15 c) Their medians have a ratio 10:4 d) Their angle bisectors have a ratio 11:5
Answers
Answer:
asked Jun 9 in Geometry by Eeshta01 (30.4k points) A scale drawing of an object is the same shape at the object but a different size. The scale of a drawing is a comparison of the length used on a drawing to the length it represents. The scale is written as a ratio. The ratio of two corresponding sides in similar figures is called the scale factor Scale factor= length in image / corresponding length in object If one shape can become another using revising, then the shapes are similar. Hence, two shapes are similar when one can become the other after a resize, flip, slide or turn.
Answer:
1. a 22m
11/x=1/200
×=2200 cm
×= 22m
2. d they are not mirror image of one another
3. a 1/200= 0.35/×
x= 70cm
x= 0.7 m
4.their altitudes have a ratio 25:15
5. 3/6= x/(x+4)
3x+ 12= 6x
3x= 12
x=4