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Semester A Review Part 2

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  • Which letter has rotational symmetry? H, B, C, or K.
    H
  • What property of congruence allows us to prove these two triangles congruent? What reason for proving triangles congruent can we use?
    Reflexive Property of Congruence, side included in both triangles. SSS
  • Compare the triangles and determine whether they can be proven congruent, if possible, by SSS, SAS, ASA, AAS, or HL. Select your answer choice.
    AAS
  • What does the acronym CPCTC represent? When would we use it?
    Corresponding Parts of Congruent Triangles are congruent. We would use it to prove sides or angles are congruent in congruent triangles.
  • Name a letter in the alphabet, other than H, that has rotational symmetry.
    I, X, Z...
  • Justify the last two reasons in the proof.
    Reflexive Property of Congruence; AAS
  • Rectangle PQRS with vertices P(1, 2), Q(2, 5), R(8, 3), and S(7, 0) is reflected across the y-axis. What are the coordinates of its image?
    P'(-1,2), Q'(-2,5), R'(-8,3), and S'(-7,0)
  • Triangle ABC with vertices A(-4, 2), B(4, 7), and C(5, 1) is reflected across the x-axis. What are the coordinates of A'B'C'?
    A'(-4,-2, B'(4,-7), and C'(5,-1)
  • A translation with the given rule (x,y) -> (x+5,y+7) is translating which directions?
    Right and up
  • Are the images a reduction or enlargement? Identify the scale factor.
    reduction; 1/2
  • Compare the triangles and determine whether they can be proven congruent, if possible, by SSS, SAS, ASA, AAS, or HL. Select your answer choice.
    ASA
  • What is the measure of a counterclockwise rotation about the spinner center that maps label A to label E?
    216 degrees
  • What are the measures of angle T and angle U?
    angle T = 72 degrees and angle U = 54 degrees
  • Line y and line z are parallel. Find the value of x.
    x = 15
  • Find the value of x.
    x = 7
  • Find the measures of angle M and angle N.
    angle M = 76 degrees and angle N = 76 degrees
  • Label B is rotated 72 degrees. What is the image?
    label j
  • Compare the triangles and determine whether they can be proven congruent, if possible, by SSS, SAS, ASA, AAS, or HL. Select your answer choice.
    HL
  • How many lines of symmetry does the image have?
    2
  • Line l is parallel to line m. Find the value of x.
    x = 12
  • Determine whether triangle ABC to triangle JGH is a reflection, translation, rotation, or glide reflection.
    Rotation; 180 degrees about (-0.5,0)
  • Line l is parallel to line m. Find the value of x.
    x = 12
  • What is the missing reason in the following proof.
    CPCTC