Podcast
Questions and Answers
What does a scale factor of K = 0.5 represent?
What does a scale factor of K = 0.5 represent?
- No change in size
- A reduction (correct)
- An enlargement
- Congruent figures
Which statement about angle measures during dilations is true?
Which statement about angle measures during dilations is true?
- They decrease in size.
- They remain the same. (correct)
- They increase in size.
- They become congruent with the original figure.
What defines a transversal in geometry?
What defines a transversal in geometry?
- A line that intersects two straight lines at different angles.
- A line that intersects two straight lines at distinct points. (correct)
- A line that is perpendicular to two straight lines.
- A line that runs parallel to two straight lines.
If angle ∠1 is equal to angle ∠3, what relationship do they form?
If angle ∠1 is equal to angle ∠3, what relationship do they form?
If a figure has a scale factor of K = 1, what happens to the figure?
If a figure has a scale factor of K = 1, what happens to the figure?
If angle ∠2 measures 179°, what can be concluded about angle ∠4?
If angle ∠2 measures 179°, what can be concluded about angle ∠4?
What is the effect of dilations on parallel lines?
What is the effect of dilations on parallel lines?
What is a key property of dilations regarding figure orientation?
What is a key property of dilations regarding figure orientation?
Which angles are formed when a transversal intersects two lines?
Which angles are formed when a transversal intersects two lines?
What total value is likely represented by the angles if one angle measures 180°?
What total value is likely represented by the angles if one angle measures 180°?
What does a scale factor greater than 1 indicate?
What does a scale factor greater than 1 indicate?
If the original size of a figure is 15 and the new size is 45, what is the scale factor?
If the original size of a figure is 15 and the new size is 45, what is the scale factor?
Which of the following scenarios demonstrates a reduction in size?
Which of the following scenarios demonstrates a reduction in size?
Which equation correctly represents the calculation of a scale factor?
Which equation correctly represents the calculation of a scale factor?
What is the scale factor if the New size is 50 and the Original size is 25?
What is the scale factor if the New size is 50 and the Original size is 25?
What are the dimensions of the dilated rectangle after applying the scale factor of $rac{5}{2}$?
What are the dimensions of the dilated rectangle after applying the scale factor of $rac{5}{2}$?
What is the area of the dilated rectangle?
What is the area of the dilated rectangle?
Which operation is used to find the dimensions of the dilated rectangle?
Which operation is used to find the dimensions of the dilated rectangle?
If the scale factor was doubled to $rac{10}{2}$, what would the new width of the rectangle be?
If the scale factor was doubled to $rac{10}{2}$, what would the new width of the rectangle be?
What is the main mathematical concept used to find the area of the dilated rectangle?
What is the main mathematical concept used to find the area of the dilated rectangle?
What is the scale factor between triangle ABC and triangle A'B'C'?
What is the scale factor between triangle ABC and triangle A'B'C'?
What is the value of the unknown side length $x$ in triangle A'B'C'?
What is the value of the unknown side length $x$ in triangle A'B'C'?
How do the side lengths of triangle ABC relate in proportion to triangle A'B'C'?
How do the side lengths of triangle ABC relate in proportion to triangle A'B'C'?
What does the equation $rac{A'B'}{AB} = rac{A'C'}{AC}$ represent?
What does the equation $rac{A'B'}{AB} = rac{A'C'}{AC}$ represent?
Which of the following is a necessary step when finding side lengths in similar triangles?
Which of the following is a necessary step when finding side lengths in similar triangles?
What characteristic do congruent figures share?
What characteristic do congruent figures share?
Which of the following is true for similar figures?
Which of the following is true for similar figures?
What is the scale factor between triangle ABC and triangle A'B'C'?
What is the scale factor between triangle ABC and triangle A'B'C'?
Which of the following statements about congruent triangles is false?
Which of the following statements about congruent triangles is false?
In the given triangles, which sides' proportions correctly represent their similarity?
In the given triangles, which sides' proportions correctly represent their similarity?
What indicates a positive slope on a graph?
What indicates a positive slope on a graph?
What happens to the y-axis in a graph with a negative slope?
What happens to the y-axis in a graph with a negative slope?
Which of the following describes a negative slope?
Which of the following describes a negative slope?
Which of the following statements about the x-axis in a positive slope is correct?
Which of the following statements about the x-axis in a positive slope is correct?
How does the y-axis behave in a scenario where the x-axis is increasing?
How does the y-axis behave in a scenario where the x-axis is increasing?
What characterizes a graph with zero slope?
What characterizes a graph with zero slope?
What effect does a vertical slope have on the graph?
What effect does a vertical slope have on the graph?
In which scenario would a graph exhibit an undefined slope?
In which scenario would a graph exhibit an undefined slope?
Which statement about zero slope is true?
Which statement about zero slope is true?
If the x-value is constant, what happens to the y-value in a vertical slope?
If the x-value is constant, what happens to the y-value in a vertical slope?
What is the result of adding $3rac{1}{2}$ and $5rac{1}{2}$?
What is the result of adding $3rac{1}{2}$ and $5rac{1}{2}$?
What does congruent mean in geometry?
What does congruent mean in geometry?
If $rac{102}{x} = rac{7}{9}$, what is the value of $x$?
If $rac{102}{x} = rac{7}{9}$, what is the value of $x$?
Which of the following best describes similar figures?
Which of the following best describes similar figures?
For the triangles shown, if one triangle has sides labeled 9 and 7, and the other has 27 and an unknown side, which relationship is true?
For the triangles shown, if one triangle has sides labeled 9 and 7, and the other has 27 and an unknown side, which relationship is true?
What does the term 'rise' refer to when calculating the slope of a line?
What does the term 'rise' refer to when calculating the slope of a line?
If the rise is 4 and the run is 2, what is the slope of the line?
If the rise is 4 and the run is 2, what is the slope of the line?
What is the correct formula to calculate the slope of a line?
What is the correct formula to calculate the slope of a line?
Which of the following statements is true about the slope of a horizontal line?
Which of the following statements is true about the slope of a horizontal line?
What is meant by the term 'run' in the context of finding the slope?
What is meant by the term 'run' in the context of finding the slope?
Flashcards
Transversal
Transversal
A line that intersects two other lines at distinct points.
Intersecting Lines
Intersecting Lines
Lines that cross at a specific point.
Angles formed by a Transversal
Angles formed by a Transversal
Angles created when a transversal intersects two lines.
Corresponding Angles
Corresponding Angles
Signup and view all the flashcards
Equal Angles
Equal Angles
Signup and view all the flashcards
Scale Factor
Scale Factor
Signup and view all the flashcards
Scale Factor Calculation
Scale Factor Calculation
Signup and view all the flashcards
Enlargement Scale Factor
Enlargement Scale Factor
Signup and view all the flashcards
Reduction Scale Factor
Reduction Scale Factor
Signup and view all the flashcards
Scale Factor Example
Scale Factor Example
Signup and view all the flashcards
Dilated Rectangle Dimensions
Dilated Rectangle Dimensions
Signup and view all the flashcards
Scale Factor
Scale Factor
Signup and view all the flashcards
Area of a Rectangle
Area of a Rectangle
Signup and view all the flashcards
Scale Factor = 5/2
Scale Factor = 5/2
Signup and view all the flashcards
Original Dimensions (16 cm by 10 cm)
Original Dimensions (16 cm by 10 cm)
Signup and view all the flashcards
Dilated Dimensions (40 cm by 25 cm)
Dilated Dimensions (40 cm by 25 cm)
Signup and view all the flashcards
Area of Dilated Rectangle
Area of Dilated Rectangle
Signup and view all the flashcards
Congruent Figures
Congruent Figures
Signup and view all the flashcards
Similar Figures
Similar Figures
Signup and view all the flashcards
Proportional Sides
Proportional Sides
Signup and view all the flashcards
Scale Factor
Scale Factor
Signup and view all the flashcards
Corresponding Sides of Similar Figures
Corresponding Sides of Similar Figures
Signup and view all the flashcards
Same Angles of Similar Figures
Same Angles of Similar Figures
Signup and view all the flashcards
Scale Factor
Scale Factor
Signup and view all the flashcards
Enlargement
Enlargement
Signup and view all the flashcards
Reduction
Reduction
Signup and view all the flashcards
Congruent
Congruent
Signup and view all the flashcards
Dilations
Dilations
Signup and view all the flashcards
Angle measure in Dilations
Angle measure in Dilations
Signup and view all the flashcards
Parallel lines in Dilations
Parallel lines in Dilations
Signup and view all the flashcards
Points in Dilations
Points in Dilations
Signup and view all the flashcards
Orientation in Dilations
Orientation in Dilations
Signup and view all the flashcards
Similar Figures
Similar Figures
Signup and view all the flashcards
Dilations and Similar Figures
Dilations and Similar Figures
Signup and view all the flashcards
Similar Triangles
Similar Triangles
Signup and view all the flashcards
Scale Factor
Scale Factor
Signup and view all the flashcards
Proportions in Similar Triangles
Proportions in Similar Triangles
Signup and view all the flashcards
Finding Unknown Side Length
Finding Unknown Side Length
Signup and view all the flashcards
Ratio of Sides
Ratio of Sides
Signup and view all the flashcards
Solving Proportions
Solving Proportions
Signup and view all the flashcards
Positive Slope
Positive Slope
Signup and view all the flashcards
Negative Slope
Negative Slope
Signup and view all the flashcards
Zero Slope
Zero Slope
Signup and view all the flashcards
Undefined Slope
Undefined Slope
Signup and view all the flashcards
Slope of a Line
Slope of a Line
Signup and view all the flashcards
Mixed Number Addition
Mixed Number Addition
Signup and view all the flashcards
Fraction Division
Fraction Division
Signup and view all the flashcards
Rise
Rise
Signup and view all the flashcards
Run
Run
Signup and view all the flashcards
Congruent Figures
Congruent Figures
Signup and view all the flashcards
Finding Slope
Finding Slope
Signup and view all the flashcards
Similar Figures
Similar Figures
Signup and view all the flashcards
Start Right Point
Start Right Point
Signup and view all the flashcards
Proportional Sides
Proportional Sides
Signup and view all the flashcards
Ratio Equation
Ratio Equation
Signup and view all the flashcards
Solving for x
Solving for x
Signup and view all the flashcards