Geometry 2017 Exam Triangle Congruence SSS and SAS

∆KGH ≅∆VWX

What is the correct way to name these congruent triangles? A)∆KHG ≅∆WVX B)∆ GKH ≅∆XWV C) ∆GHK ≅∆WVX D) ∆ KGH ≅∆VWX

∆RTS≅∆CED

What is the correct way to name these congruent triangles? A) ∆RTS≅ ∆CED B) ∆ TRS≅∆CDE C) ∆ SRT≅∆ECD D) ∆TSR≅∆DCE

Yes. Because line segment FH≅ line segment KH, the triangles are congruent by SSS.

H is the midpoint of line segment KF. Is there enough information in the figure to prove that ∆FGH≅∆KMH? A) Yes. Because ∠F≅∠K , the triangles are congruent by SAS. B) Yes. Because∠G≅∠M , the triangles are congruent by SAS. C) Yes. Because line segment FH≅ line segment KH, the triangles are congruent by SSS. D) No. There is not enough information.

∠XYZ≅∠VYW - vertical angles are congruent

What statement and reason would prove that ∆XYZ≅∆VYW by SAS? A)line segment XZ≅line segment VW - parallel lines are congruent B) ∠Z≅∠W - alternate interior angles are congruent C)∠X≅∠V - Corresponding Angles Postulate D) ∠XYZ≅∠VYW - vertical angles are congruent

24°

If ∆ABC≅∆DEF, what is the measure of ∠F? A) 78° B) 24° C) 36° D) 42°

6 cm

If ∆ABC≅∆DEF,what is the length of line segment DF? A) 4 cm B) 6 cm C) 8 cm D) 10 cm

80°

If ∆JKL≅∆WXY, what is the measure of ∠W? A) 100° B) 40° C) 20° D) 80°

∠E≅∠K

In order for ∆DEF to be congruent to ∆JKL by SAS, what else needs to be true in the figure below? A)∠D≅∠J B)∠F≅∠L C) ∠E≅∠K D) ∠F≅∠J

line segment RS≅ line segment UV

In order for ∆QRS to be congruent to ∆TUV by SSS, what else needs to be true in the figure below? A) ∠T≅∠Q B) line segment RS≅ line segment UV C) ∠V≅∠S D) ∠Q and ∠T are right angles

Yes. Because ∠ACB and ∠DCE are congruent vertical angles, the triangles are congruent by SAS.

Is there enough information in the figure below to prove that ∆ACB≅∆DCE ? A) Yes. Because line segment AB ≅ line segment DE, the triangles are congruent by SSS. B) Yes. Because C is the midpoint of line segment AD, the triangles are congruent by SAS. C) Yes. Because ∠ACB and ∠DCE are congruent vertical angles, the triangles are congruent by SAS. D) No. There is not enough information in the figure.

Line segment CD≅ Line segment CD - Reflexive Property of Equality

Line segment CD bisects ∠ADB and ∆ADB is an isosceles triangle. What is another true statement that proves that ∆ADC≅∆BDC? A) Line segment AC≅line segment BC - definition of midpoint B) ∠ACD≅∠BCD - all right angles are congruent C)Line segment CD≅ Line segment CD - Reflexive Property of Equality D) There is not enough information to prove the triangles true.

Yes. Because ∠R≅∠V, the triangles are congruent by SAS.

Line segment RS and Line segment UV are parallel and congruent. Line segment RT and VT are congruent. Is there enough information in the figure to prove that ∆RTS≅∆VTU? A) Yes. Because Line segment ST≅ Line segmentUT , the triangles are congruent by SSS. B) Yes. Because ∠R≅∠V, the triangles are congruent by SAS. C) Yes. Because ∠RTS≅∠VTU , the triangles are congruent by SAS. D) No. There is not enough information.

∠TVW≅∠UVW - definition of bisector

W is the midpoint of line segment TU and line segment VW ⊥ line segment TU. Which of the following would NOT be in the proof that ∆TWV≅∆UWV? A) Line segment TW ≅ Line segment UW - definition of a midpoint B) ∠TVW≅∠UVW - definition of bisector C) Line segment VW ≅ line segment VW - Reflexive Property of Equality D) ∠TWV≅∠UWV - all right angles are congruent

- Reflexive Property of Equality

What statement and reason would prove that ∆PQS≅∆RQS by SSS? A) Line segment SQ≅Line segment SQ - Transitive Property of Equality B) ∠PQS≅∠RQS - all right angles are congruent C) Line segment SQ≅Line segment SQ - Reflexive Property of Equality D) Q is the midpoint of Line segment PR- definition of midpoint

∆ABC≅∆DEF by SSS

Which of the following statements is true based on the figure below? A)∆ABC≅∆DEF by SSS B) ∆ABC≅∆DEF by ASA C) ∆ABC≅∆DEF by SAS D) ∆ABC≅∆DEF by CPCTC

∆JKL≅∆PQR by SAS

Which of the following statements is true based on the figures below? A) ∆JKL≅∆PQR by SSS B) ∆JKL≅∆PQR by SAS C) ∆JKL≅∆PQR by ASA D) ∆JKL≅∆PQR by CPCTC

∆ABC≅∆TUV

Which pair of triangles are congruent by SSS? A)∆ PQR≅∆DEF B) ∆XYZ≅ ∆JKL C) ∆ABC≅∆TUV D) ∆ABC≅∆DEF

15 mm

∆XYZ≅∆PQR. What is the length of line segment PQ? A) 12 mm B) 15 mm C) 8 mm D) 20 mm

8 mm

∆XYZ≅∆PQR. What is the length of line segment RQ? A) 12 mm B) 15 mm C) 20 mm D) 8 mm

70°

∆XYZ≅∆PQR. What is the measure of ∠Y? A) 80° B) 30° C) 70° D) 100°