Unit 3 Similarity Review & Practice

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Mathematics
•
10th - 12th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
What is similarity in geometry?
Back
Similarity in geometry refers to the relationship between two shapes that have the same shape but may differ in size. The corresponding angles are equal, and the lengths of corresponding sides are proportional.
2.
FLASHCARD QUESTION
Front
What is a scale factor in dilation?
Back
A scale factor is a number that scales, or multiplies, the dimensions of a shape. In dilation, it determines how much larger or smaller the image will be compared to the original shape.
3.
FLASHCARD QUESTION
Front
If triangle ABC is dilated by a scale factor of 1/2, what happens to its area?
Back
The area of triangle ABC will be reduced to 1/4 of its original area because area scales by the square of the scale factor (1/2)^2 = 1/4.
4.
FLASHCARD QUESTION
Front
What is a midsegment in a triangle?
Back
A midsegment is a line segment that connects the midpoints of two sides of a triangle. It is parallel to the third side and its length is half the length of that side.
5.
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) similarity, SSS (Side-Side-Side) similarity, or SAS (Side-Angle-Side) similarity.
6.
FLASHCARD QUESTION
Front
What does AA similarity mean?
Back
AA similarity means that if two angles of one triangle are equal to two angles of another triangle, then the triangles are similar.
7.
FLASHCARD QUESTION
Front
What does SSS similarity mean?
Back
SSS similarity means that if the lengths of the corresponding sides of two triangles are proportional, then the triangles are similar.
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