Similar Triangles Applications
Flashcard
•
Mathematics
•
10th Grade
•
Practice Problem
•
Hard
+3
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What are similar triangles?
Back
Similar triangles are triangles that have the same shape but may differ in size. Their corresponding angles are equal, and the lengths of their corresponding sides are proportional.
Tags
CCSS.8.G.A.2
CCSS.HSG.CO.B.6
2.
FLASHCARD QUESTION
Front
What is the principle of proportionality in similar triangles?
Back
The principle of proportionality states that in similar triangles, the ratios of the lengths of corresponding sides are equal.
Tags
CCSS.HSG.SRT.A.2
3.
FLASHCARD QUESTION
Front
How can you find the height of an object using similar triangles?
Back
To find the height of an object using similar triangles, set up a proportion between the height of the object and the length of its shadow, compared to the height of a reference object and its shadow.
Tags
CCSS.HSG.SRT.B.5
4.
FLASHCARD QUESTION
Front
If a 2-meter tall person casts a shadow of 1 meter, what is the ratio of height to shadow length?
Back
The ratio is 2:1.
Tags
CCSS.7.G.A.1
5.
FLASHCARD QUESTION
Front
A flagpole casts a shadow of 12 meters, and a 2-meter tall person casts a shadow of 1 meter. How tall is the flagpole?
Back
24 meters.
Tags
CCSS.8.G.A.2
CCSS.HSG.CO.B.6
6.
FLASHCARD QUESTION
Front
A building casts a shadow of 50 meters, and a 4-meter tall person casts a shadow of 2 meters. How tall is the building?
Back
100 meters.
Tags
CCSS.HSG.SRT.A.2
7.
FLASHCARD QUESTION
Front
What is the formula to calculate the height of an object using shadows?
Back
Height of object = (Height of reference object × Length of object's shadow) / Length of reference object's shadow.
Tags
CCSS.8.G.A.2
CCSS.HSG.CO.B.6
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