Mathematics Worksheets - Transformations and Angles
51 Questions
0 Views

Choose a study mode

Play Quiz
Study Flashcards
Spaced Repetition
Chat to lesson

Podcast

Play an AI-generated podcast conversation about this lesson

Questions and Answers

What is the opposite value of -2?

2

What is the absolute value of 4?

4

Which of the following describes the translation (x, y) → (x + 10, y + 8)?

  • Translation 10 units to the right and 8 units down
  • Translation 10 units to the right and 8 units up (correct)
  • Translation 10 units to the left and 8 units up
  • Translation 10 units to the left and 8 units down

    • Point A(-2, -10) is reflected over the x-axis. What are the new coordinates?

    <p>(2, -10)</p> Signup and view all the answers

    E'F' = 3 is true.

    <p>True</p> Signup and view all the answers

    M∠F' = 90° is true.

    <p>False</p> Signup and view all the answers

    What transformation is used to transform figure A into figure B?

    <p>Translation 3 units right and 2 units up</p> Signup and view all the answers

    What are the coordinates of N after a 180° rotation?

    <p>(-2, 0)</p> Signup and view all the answers

    Which series of transformation maps figure A onto figure B?

    <p>A translation 4 units right and 1 unit down</p> Signup and view all the answers

    Which of the following transformations has one solution?

    <p>3x - 4 = 2x + 6</p> Signup and view all the answers

    Which equation has no solution?

    <p>x + 1 = x - 1</p> Signup and view all the answers

    What is the error in solving the equation 2(x-3) = 2x-6?

    <p>The error is in the distributive property. They distributed the 2 on the left side, getting 2x-3 instead of 2x-6.</p> Signup and view all the answers

    What is the correct way of solving the equation 2(x-3) = 2x-6?

    <p>The correct way is to distribute the 2 on the left side and get 2x - 6 = 2x-6 then simplify. Both sides cancel out, giving 0 = 0.</p> Signup and view all the answers

    What is the slope of the line passing through points (0,0) and (2,4)?

    <p>2</p> Signup and view all the answers

    Which equation represents the line shown?

    <p>y = 3x</p> Signup and view all the answers

    What is the slope of the line passing through points (0, -4) and (4, -8)?

    <p>-2</p> Signup and view all the answers

    What is the slope of the line based on the table of values?

    <p>-2</p> Signup and view all the answers

    What is the equation of the line based on the table of values?

    <p>y = -2x</p> Signup and view all the answers

    Which image best represents a reflection?

    <p>A pair of parentheses</p> Signup and view all the answers

    What are the coordinates of M' after reflecting M(-8,4) over the x-axis?

    <p>(-8,-4)</p> Signup and view all the answers

    What is the first transformation that maps quadrilateral BIKE onto quadrilateral GOLF?

    <p>Reflect BIKE over the x-axis</p> Signup and view all the answers

    What is the second transformation that maps quadrilateral BIKE onto quadrilateral GOLF?

    <p>Translate BIKE 4 units to the right and 1 unit up</p> Signup and view all the answers

    The value of x in x+ 3 = 12 is 9.

    <p>False</p> Signup and view all the answers

    The value of x in 5x = 15 is 4.

    <p>False</p> Signup and view all the answers

    The value of x in x/2 = 4 is 8.

    <p>True</p> Signup and view all the answers

    What is the solution to the linear equation 1/4x + 2 = 6?

    <p>x = 16</p> Signup and view all the answers

    What is the solution to the linear equation 10x - 2x - 2 = 22?

    <p>x = 4</p> Signup and view all the answers

    What is the error in solving the equation 1/4(x-2) + 4 = 12?

    <p>The error is in the distributive property applied in the first step. They incorrectly multiplied 1/4 only by &quot;x&quot; and not by &quot;2&quot;.</p> Signup and view all the answers

    What is the correct way of solving the equation 1/4(x-2) + 4 = 12?

    <p>First, distribute the 1/4: 1/4x - 1/2 + 4 = 12. Then combine like terms: 1/4x + 7/2 = 12. Next, subtract 7/2 from both sides: 1/4x = 17/2. Finally, multiply both sides by 4: x = 34.</p> Signup and view all the answers

    Which theorem states that the sum of the measures of the three interior angles of any triangle is always 180 degrees?

    <p>Triangle Sum Theorem</p> Signup and view all the answers

    Which theorem states that the measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles?

    <p>Exterior Angle Theorem</p> Signup and view all the answers

    Which term refers to any angle located inside a triangle, excluding the exterior angles?

    <p>Interior Angle of a Triangle</p> Signup and view all the answers

    The sum of the three interior angles in any triangle is always ____ degrees.

    <p>180</p> Signup and view all the answers

    If an exterior angle of a triangle measures 140 degrees, then the sum of the two opposite interior angles is ____ degrees.

    <p>140</p> Signup and view all the answers

    In a triangle, if two angles measure 50 degrees and 80 degrees, the third angle measures ____ degrees.

    <p>50</p> Signup and view all the answers

    If one angle of a triangle is 70 degrees and another angle is 60 degrees, what is the measure of the third angle?

    <p>50 degrees</p> Signup and view all the answers

    A triangle has an exterior angle measuring 120 degrees. What is the sum of the two opposite interior angles?

    <p>120 degrees</p> Signup and view all the answers

    In the diagram, what is the measure of angle x?

    <p>111</p> Signup and view all the answers

    In the diagram, what is the measure of the other opposite interior angle?

    <p>28</p> Signup and view all the answers

    Which of the following represents a dilation?

    <p>A figure is enlarged to twice its original size</p> Signup and view all the answers

    Which of the following is considered a reduction?

    <p>k = 1/2</p> Signup and view all the answers

    A dilation is considered a reduction if the given scale factor is 2.

    <p>False</p> Signup and view all the answers

    A dilation is considered a reduction if the given scale factor is 1.000001.

    <p>False</p> Signup and view all the answers

    Is a dilation from Figure A to Figure B an enlargement or a reduction?

    <p>Enlargement</p> Signup and view all the answers

    What is the scale factor of the dilation from Figure A to Figure B?

    <p>2</p> Signup and view all the answers

    The screen on the new television is a dilation of the screen on the old television.

    <p>False</p> Signup and view all the answers

    Which of the following best describes a translation?

    <p>A figure is shifted without changing its size or shape</p> Signup and view all the answers

    Which of the following best describes a reflection?

    <p>A figure is flipped over a line</p> Signup and view all the answers

    A transformation always changes the size of a figure.

    <p>False</p> Signup and view all the answers

    Which of the following transformations can change the orientation (direction) of a figure?

    <p>All of the above</p> Signup and view all the answers

    Which of the following terms describes figures that have the same size and shape?

    <p>Congruent</p> Signup and view all the answers

    Study Notes

    Mathematics Worksheets

    • Worksheets cover topics like transformations, congruent figures, linear equations, and angle relationships in triangles.
    • Worksheets contain questions, instructions, and sometimes diagrams.
    • Topics include finding missing coordinates of points after reflections, determining sequences of transformations to map one figure to another, solving linear equations, and finding missing angles in triangles.
    • Some questions require students to identify whether a transformation is a reduction or enlargement.
    • Worksheets have sections labeled "Climb the Mountain" and "Swim the Ocean."
    • Some worksheets include exercises involving figures such as triangles and quadrilaterals.
    • Includes finding the missing angle in a triangle, solving for variables in equations, identifying errors in calculation steps.
    • Includes definitions of mathematical terms like "reflection," "translation," "rotation," "pre-image," "image," "congruent."
    • Multiple choice questions are present, requiring selection of the best solution from options.
    • Students are required to provide their answers, sometimes with explanations.
    • Worksheets often involve coordinate geometry and geometric transformations.

    Studying That Suits You

    Use AI to generate personalized quizzes and flashcards to suit your learning preferences.

    Quiz Team

    Related Documents

    Mathematics 8 Worksheet Revision Sheet PDF

    Description

    This quiz features mathematics worksheets focusing on transformations, congruent figures, and angle relationships within triangles. Students will tackle questions on reflections, linear equations, and calculating missing angles, along with definitions of key mathematical terms. Engage with a variety of exercises designed to enhance your understanding of these core concepts.

    More Like This

    Use Quizgecko on...
    Browser
    Open
    Browser
    Browser