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Unit 4 Review - Properties of Triangles

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  • Order the sides of the triangle from shortest to longest.
    JL, LK, KL (all line segments with a bar on top)
  • Is the triangle acute, obtuse or right?
    obtuse
  • Mark the angles and sides of each pair of triangles to indicate that they are congruent.
  • Determine if the two triangles are congruent. If they are, state how you know.
    ASA
  • Determine if the two triangles are congruent. If they are, state how you know.
    not enough information
  • Is the triangle acute, obtuse or right?
    obtuse
  • Two sides of a triangle have the following measures. Find the range of possible measures for the third side. 9, 7
    2< x < 16
  • Two sides of a triangle have the following measures. Find the range of possible measures for the third side. 10. 8
    2< x < 18
  • Classify the triangle by its angles.
    obtuse
  • Can these three numbers be the measures of the sides of a triangle? 3, 5, 6?
    yes
  • State what additional information is required in order to know that the triangles are congruent for the reason given.
    /_ H ≅ /_U
  • Find the distance between the points. Round to the nearest tenth if necessary. (-4, -2), (-1, 2)
    5
  • Classify the triangle by its sides.
    scalene
  • Can these three numbers be the measures of the sides of a triangle? 1, 8, 9?
    no
  • Can these three numbers be the measures of the sides of a triangle? 8, 18, 10?
    no
  • Find the missing side of the triangle. Round your answers to the nearest tenth if necessary.
    13 km
  • Solve for x
    x = 7
  • State what additional information is required in order to know that the triangles are congruent for the reason given.
    /_TUV ≅ /_ JVU
  • Is the triangle acute, obtuse or right?
    right
  • Find the missing side of the triangle. Round your answers to the nearest tenth if necessary.
    12 in
  • Is the triangle acute, obtuse or right?
    acute
  • Determine if the two triangles are congruent. If they are, state how you know.
    ASA
  • Complete each congruence statement by naming the corresponding angle or side.
    /_ WKV
  • Order the sides of the triangle from shortest to longest.
    JL, LK, KL (all line segments with a bar on top)
  • Solve for x
    x = 6
  • State what additional information is required in order to know that the triangles are congruent for the reason given.
    /_CDE ≅ /_TED or /_DEC ≅ /_EDT
  • Write a statement that indicates that the triangles are congruent.
    triangle PRQ ≅ triangle PRH
  • Classify the triangle by its sides.
    isosceles
  • State what additional information is required in order to know that the triangles are congruent for the reason given.
    XW ≅ XU line segments with a bar on top of the letters
  • Order the angles of the triangle from smallest to largest.
    /_ E, /_ F, /_ G
  • Solve for x
    x = 5
  • Classify the triangle by its angles.
    acute
  • Mark the angles and sides of each pair of triangles to indicate that they are congruent.
  • Write a statement that indicates that the triangles are congruent.
    triangle KML ≅ triangle KFE
  • Complete each congruence statement by naming the corresponding angle or side.
    /_I
  • Find the distance between the points . Round to the nearest tenth if necessary. (2.3, 1.2), (-3.6, -4.9)
    8.5
  • Solve for x
    x = 10
  • Find the distance between the points. Round to the nearest tenth if necessary. (-7.7, 6), (-7.5, -3.8)
    9.8
  • Order the angles of the triangle from smallest to largest.
    /_ B, /_ C, /_ A
  • Determine if the two triangles are congruent. If they are, state how you know.
    SSS
  • Classify the triangle by its angles.
    obtuse