Podcast
Play an AI-generated podcast conversation about this lesson
Download our mobile app to listen on the go
Get App
Questions and Answers
What are the cross products in the proportion $\frac{a}{b} = \frac{c}{d}$?
What are the cross products in the proportion $\frac{a}{b} = \frac{c}{d}$?
- ab
- ad (correct)
- cd
- bc (correct)
What are the extremes in the proportion $\frac{a}{b} = \frac{c}{d}$?
What are the extremes in the proportion $\frac{a}{b} = \frac{c}{d}$?
a and d
What are the means in the proportion $\frac{a}{b} = \frac{c}{d}$?
What are the means in the proportion $\frac{a}{b} = \frac{c}{d}$?
b and c
What is a midsegment in relation to a triangle?
What is a midsegment in relation to a triangle?
Signup and view all the answers
What does proportion mean in mathematical terms?
What does proportion mean in mathematical terms?
Signup and view all the answers
What is a ratio?
What is a ratio?
Signup and view all the answers
What is a scale factor?
What is a scale factor?
Signup and view all the answers
What are similar polygons?
What are similar polygons?
Signup and view all the answers
Flashcards are hidden until you start studying
Study Notes
Proportions and Ratios
- Cross products in a proportion (a/b = c/d) are ad and bc; the proportion is valid if ad = bc.
- Extremes refer to the values a and d in the proportion, located at the upper left and lower right.
- Means denote the values b and c in the proportion, positioned at the lower left and upper right.
Triangle Properties
- A midsegment connects the midpoints of two sides of a triangle, forming new segments within the triangle.
Basic Definitions
- Proportion represents an equation a/b = c/d indicating that two ratios are equal.
- A ratio is defined as a division that compares two quantities.
Similarity and Scale
- The scale factor is the ratio of corresponding side lengths between two similar polygons or solids, determining how much one shape has been resized compared to another.
- Similar polygons maintain the same shape but can differ in size, highlighting their proportionality in dimensions.
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
