Skills · Geometry · Triangles

Corresponding parts

Printable practice with an answer key the engine computes, at three levels, in as many versions as you need.

Problem types

Sample Sheet · Level 1

  1. triangles ABC and DEF: AB 15, BC 20, AC 11; DE ?ABCDEF152011?
    △ABC ≅ △DEF. Find DE.
  2. triangles ABC and DEF: ∠A 59°, ∠B 67°; ∠F ?ABCDEF59°67°?
    △ABC ≅ △DEF. Find m∠F.
  3. triangles ABC and DEF: AB 17, BC 16, AC 18; DE ?ABCDEF171618?
    △ABC ≅ △DEF. Find DE.
  4. triangles ABC and DEF: ∠A 45°, ∠B 74°, ∠C 61°; ∠F ?ABCDEF45°74°61°?
    △ABC ≅ △DEF. Find m∠F.
  5. triangles ABC and DEF: AB 5, BC 8, AC 7; DE ?ABCDEF587?
    △ABC ≅ △DEF. Find DE.
  6. triangles ABC and DEF: ∠B 50°, ∠C 58°; ∠D ?ABCDEF50°58°?
    △ABC ≅ △DEF. Find m∠D.
  7. triangles ABC and DEF: AB 7, BC 12, AC 10; DE ?ABCDEF71210?
    △ABC ≅ △DEF. Find DE.
  8. triangles ABC and DEF: ∠A 68°, ∠C 62°; ∠E ?ABCDEF68°62°?
    △ABC ≅ △DEF. Find m∠E.

Answer key

  1. 15 units
  2. 54°
  3. 17 units
  4. 61°
  5. 5 units
  6. 72°
  7. 7 units
  8. 50°

Sample Sheet · Level 3

  1. triangles ABC and DEF, ∠A ≅ ∠D, ∠B ≅ ∠E, ∠C ≅ ∠F markedABCDEF
    The triangles are congruent, with m∠B = 57°, m∠C = (5x − 29)° and m∠F = (3x + 3)°. Find m∠F.
  2. triangles ABC and DEFABCDEF
    △ABC ≅ △DEF, with m∠C = (6x − 7)° and m∠F = (3x + 26)°. Find m∠F.
  3. triangles ABC and DEFABCDEF
    △ABC ≅ △DEF, with m∠B = (2x + 17)° and m∠E = (4x − 15)°. Find m∠E.
  4. triangles ABC and DEFABCDEF
    △ABC ≅ △DEF, with m∠A = (9x + 33)° and m∠D = (7x + 39)°. Find m∠D.
  5. triangles ABC and DEFABCDEF
    △ABC ≅ △DEF, with m∠B = (9x − 16)° and m∠E = (6x + 17)°. Find m∠E.
  6. triangles ABC and DEF, AB ≅ DE, BC ≅ EF, AC ≅ DF marked: AB 16, BC 26, AC 2x + 4; DF 4x − 16ABCDEF16262x + 44x − 16
    The triangles are congruent. Find DF.
  7. triangles ABC and DEFABCDEF
    △ABC ≅ △DEF, with m∠C = (3x − 4)° and m∠F = (5x − 26)°. Find m∠F.
  8. triangles ABC and DEFABCDEF
    △ABC ≅ △DEF, with m∠B = (4x − 38)° and m∠E = (2x − 2)°. Find m∠E.

Answer key

  1. 51°
  2. 59°
  3. 49°
  4. 60°
  5. 83°
  6. 24 units
  7. 29°
  8. 34°

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