Similarity and Dilations
9th - 11th grade
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Mathematics
41 minutes ago
goodrichd_74646
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20 QuestionsShow answers
  • Question 1
    30 seconds
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    Q. A scale factor of less than one means
    answer choices
    that the prime image will be larger than the pre-image.
    That the prime image will be the same as the preimage.
    That you need to subtract that amount off  of each side.
    That the prime image will be a reduction of the preimage.
  • Question 2
    180 seconds
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    Q. What is the value of X?
    answer choices
    X=4
    X=6
    X=3
    X=2
  • Question 3
    120 seconds
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    Q. Are the triangles similar?
    answer choices
    Yes
    No
  • Question 4
    300 seconds
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    Q. Find x
    answer choices
    21
    27/7
    13
    18
  • Question 5
    120 seconds
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    Q. How does a dilation change the angles of a polygon?
    answer choices
    It changes by the scale factor.
    Dilations do not change the angles.
    It is impossible to answer this question.  The angles change unpredictably.
    The angles all change to larger angles.
  • Question 6
    30 seconds
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    Q.

    Let  ΔXYZ\Delta XYZ be the dilated image of  ΔABC\Delta ABC with a scale factor of k = 3. Which of the following is the correct center of dilation?

    answer choices

    (0, 0)

    (4, 1)

    (-5, 5)

    (1, 4)

  • Question 7
    30 seconds
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    Q.

    Given ΔABC\Delta ABC is a dilated image of  ΔJKL\Delta JKL with a scale factor of 4, which of the following proportions are true? Select all that apply. 

    answer choices

     ABJK=BCKL\frac{AB}{JK}=\frac{BC}{KL}  

     ACJK=BCKL\frac{AC}{JK}=\frac{BC}{KL}  

     BCKL=4\frac{BC}{KL}=4  

     KLBC=4\frac{KL}{BC}=4  

     JLAC=ABJK\frac{JL}{AC}=\frac{AB}{JK}  

  • Question 8
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    Q. If two figures are similar, the corresponding sides are ______________.
    answer choices
    equal
    congruent
    proportional
    none of these
  • Question 9
    180 seconds
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    Q.

    Complete each proportion.

    BC / DM = ? / AD

    answer choices

    BC

    AC

    MD

    MC

  • Question 10
    300 seconds
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    Q. The pair of figures is similar. Find the missing side.
    answer choices
    x = 9
    x = 28
    x = 7
    x = 63
  • Question 11
    180 seconds
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    Q. Find y.
    answer choices
    144
    18
    72
    12
  • Question 12
    300 seconds
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    Q. To measure the distance across a pond, a surveyor locates points A, B, C, D, and E as shown.  Find the length of AB to the nearest meter.
    answer choices
    10
    12
    15
    18
  • Question 13
    300 seconds
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    Q.

    Jackson makes a scale model of a building in DC. The actual height of the building is 52 feet. Jackson's model used a scale in which 1 inch represents 5 feet. What is the height in inches of his model?

    answer choices

    10.2

    10.4

    12

    14

  • Question 14
    300 seconds
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    Q. Which proportion is not the same?
    answer choices
    a/b=c/d
    a/c=b/d
    a/d=b/c
    b/a=d/c
  • Question 15
    300 seconds
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    Q. The triangles are similar, solve for the question mark.
    answer choices
    8
    12.5
    18
    24
  • Question 16
    30 seconds
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    Q.

    Complete the following transformation if Triangle ABC is transformed to make similar Triangle DEF.

    Translate A to D. Rotate around Point D until D, E, and _____ are co-linear. Dilate by ______ with center D.

    answer choices

    Point B, Scale Factor EF/BC

    Point B, Scale Factor BC/EF

    Point C, Scale Factor EF/BC

    Point C, Scale Factor BC/EF

  • Question 17
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    Q.

    Which of the following are always similar? Select all that apply.

    answer choices

    Circles

    Segments

    Isosceles Triangles

    Regular Polygons

    Rectangles

  • Question 18
    900 seconds
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    Q. What similarity theorem would prove that these triangles are similar?
    answer choices
    SAS∼
    SSS∼
    AA∼
    Side Splitter
  • Question 19
    180 seconds
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    Q. How do these triangles appear to be similar?
    (Hint: Look for non-labeled parts!)
    answer choices
    AA
    SAS
    SSS
    Not Similar
  • Question 20
    300 seconds
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    Q. Determine whether the triangles are similar.
    answer choices
    SSS~
    AA~
    SAS~
    not similar
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