22 Congruent Triangles

Geometry
Assignment #22
Congruent Triangles - SAS
Directions:
a) Justify whether the triangles meet the SAS congruence criteria.
b) State which pairs of sides or angles are congruent and why.
c) If the triangles do meet the SAS criteria, describe the rigid motion(s) that would map one
triangle onto the other.
1. Given: AB  CD , AB = CD
Is ∆ABD ≅ ∆CDB ?
2. Given: ∠R = 25° , RT = 7”,
SU = 5”, ST = 5”.
Is ∆RSU ≅ ∆RST ?
3. Given: KM and JN bisect each other.
Is ∆JKL ≅ ∆NML ?
4. Given: ∠1 =∠2 , BC = DC
Is ∆ABC ≅ ∆ADC ?
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5. Given: AE bisects ∠BCD , BC = DC
Is ∆CAB ≅ ∆CAD ?
6. Given: SU and RT bisect each other.
Is ∆SVR ≅ ∆UVT ?
7. Given: JM = KL, JM ⊥ ML , KL ⊥ ML .
Is ∆JML ≅ ∆KLM ?
8. Given: BF ⊥ AC , CE ⊥ AB .
Is ∆BED ≅ ∆CFD ?
9. Given: ∠VXY =
∠VYX .
Is ∆VXW ≅ ∆VYZ ?
10. Given: ∆RST is isosceles with RS = RT,
SY = TZ.
Is ∆RSY ≅ ∆RTZ ?
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