Similarity Applications & Proportionality

Flashcard
•
Mathematics
•
9th - 10th Grade
•
Hard
+3
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the concept of similarity in geometry?
Back
Similarity in geometry refers to the idea that two shapes are similar if they have the same shape but not necessarily the same size. This means that their corresponding angles are equal and their corresponding sides are in proportion.
Tags
CCSS.HSG.CO.B.6
CCSS.8.G.A.2
2.
FLASHCARD QUESTION
Front
How do you determine if two triangles are similar?
Back
Two triangles are similar if they satisfy one of the following criteria: AA (Angle-Angle) criterion, SSS (Side-Side-Side) similarity criterion, or SAS (Side-Angle-Side) similarity criterion.
Tags
CCSS.HSG.SRT.B.5
3.
FLASHCARD QUESTION
Front
What is proportionality in the context of similar figures?
Back
Proportionality in similar figures means that the ratios of the lengths of corresponding sides are equal. If two figures are similar, then the ratio of any two corresponding lengths is the same.
Tags
CCSS.HSG.CO.B.6
CCSS.8.G.A.2
4.
FLASHCARD QUESTION
Front
How can you use proportions to solve for an unknown length in similar triangles?
Back
To solve for an unknown length in similar triangles, set up a proportion using the lengths of corresponding sides. Cross-multiply to find the unknown value.
Tags
CCSS.HSG.SRT.A.2
5.
FLASHCARD QUESTION
Front
What is the relationship between the heights of two similar objects?
Back
The heights of two similar objects are proportional to their corresponding lengths. If one object is a scaled version of another, their heights will maintain the same ratio as their corresponding lengths.
Tags
CCSS.HSG.SRT.A.2
6.
FLASHCARD QUESTION
Front
What is the formula for finding the height of an object using similar triangles?
Back
The height of an object can be found using the formula: (height of object)/(distance from object) = (height of observer)/(distance from observer). This is derived from the properties of similar triangles.
Tags
CCSS.HSG.SRT.B.5
7.
FLASHCARD QUESTION
Front
What is the significance of the mirror method in measuring heights?
Back
The mirror method uses the principle of similar triangles to measure the height of tall objects by reflecting their image in a mirror placed on the ground, allowing the observer to use their own height and distance to calculate the object's height.
Tags
CCSS.HSG.SRT.A.2
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