SSS, SAS, AA
Shadows
Scale Models
Scale Factor
Missing sides & angles of triangles
100
If there is an angle of 56 degrees and two sides of 15in and 17 in, what system would you use?
SAS
100
If Stacy is 5ft tall, and casts a 10 ft shadow, how tall would a building be if it casts a 50 ft shadow?
25 ft
100
Billy bought a car that is 10ft long. He has built a model of his car. If the scale is 1in= 5ft, how long is the model car?
2 in
100
If triangle XYZ has a perimeter of 70in, and the scale factor is 2, what is the perimer of triangle DEF?
140in
100
If triangle ABC has side lengths of AB= 4 in, and BC= 10 in, and triangle DEF has a side length of DE= 8 in, what is the length of side EF?
20 in
200
A triangle has angles of 57 degrees, and 24 degrees, what is the system you would use?
AA
200
If a light 10ft light pole casts a 2 ft shadow, how tall would someone be if they cast a 1 ft shadow?
5 ft
200
If a model airplane is 10in long, how long would a real airplane be with a scale of 2in= 12ft?
60ft
200
If the scale factor is 1/2, would the new triangle be smaller then the original, or larger?
smaller
200
If triangle "XYZ" has side lengths of 7 in, 10 in, and 18 in, and triangle "TUV" has side lengths of 21 in, and 30 in, then what is the length of "VT"?
54 in.
300
If there is a triangle with sides of 15mm, 16mm, and 9mm, what system would you use?
SSS
300
There is a 24ft building. If John is 6ft tall, and cast a 10ft shadow, how long would the shadow of the building be?
40ft
300
A train leaving the station is 75ft long. If Joseph wanted to make an exact model of the train with a scale of 5in= 15ft?
25in
300
If a triangle has an perimeter of 50cm, and the similar triangle has an perimeter of 100cm, what is the scale factor?
2
300
If triangle "BCD" has an angle of 27 degrees, and 36 degrees, what would be the third degrees?
117 degrees
400
A triangle has angles of 110 degrees, and 35 degrees, what system would you use?
AA
400
If a tree casts is 12ft tall and cast a 23 foot shadow, how long would the shadow of a 24 ft building be?
46 ft
400
There was a new car that was 7ft long. The company that made the car wanted to make a model. If the scale was 1ft=2in, how long was the model car?
14in
400
If the scale factor is 7, would the similar triangle be larger or smaller?
larger
400
If triangle "EFG" has an angle of 96 degrees, and "FG" has a length of 7 mm, then what is the angle of the similar triangle?
96 degrees
500
If a triangle 123 has side lengths of 45mm, has an angle of 65 degrees, and has a side of 54mm, what system would you use?
SAS
500
how long would Maddie's shadow be if she is 3 ft tall, and there is a pole that is 8 ft tall and casts a 18ft shadow?
6.75 or 7 ft
500
A model of a boat was 16in long. If the scale was 2in=4ft, how long was the real boat?
32in
500
If the scale factor is 3, and you have a perimeter of 17 mm, then what is the perimeter of the similiar triangle?
51mm
500
If triangle "LMN" has side lengths of 5 cm, 12 cm, and 15 cm, and it has a right angle, then what is the degrees of the right angle in the similar triangle?
90 degrees
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