Topic 4: Triangle Congruence

What theorem shows that GTY ≅ GUX?

• SSS

• SAS

• AAS

• ASA

Tags

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.8

CCSS.HSG.SRT.B.5

What composition of rigid motions maps STR to MNP?

• T_{⟨−7, 0⟩} ◦ R_y = 2

• T_{⟨3, 4⟩} ◦ r_{(90°, T)}

• R_x = −5 ◦ T_{⟨−7, 3⟩}

• R_y = 3 ◦ T_{⟨−7, −1⟩}

Tags

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.5

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

△PQR and △RST are shown. What is m∠TSR?

Tags

CCSS.7.G.B.5

△PQR and △RST are shown. What is m∠QPR?

Tags

CCSS.HSG.CO.B.8

CCSS.HSG.CO.C.10

CCSS.HSG.SRT.B.5

What additional piece of information is needed to show that ABC ≅ XYZ by AAS?

• ∠A ≅ ∠X

• $\overline{AB}$ $\cong$ $\overline{XY}$
  

• ∠C ≅ ∠Z

• $\overline{AC}$ $\cong$ $\overline{XZ}$
  

Tags

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

CCSS.HSG.SRT.B.5

What theorem shows that DEF ≅ GFE?

• SAS

• ASA

• HL

• none of the above

Tags

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

CCSS.HSG.SRT.B.5

Which can be proven? Select all that apply.

• $\overline{DK}$ $\cong$ ∠ $\overline{FK}$

• △DEK ≅ △GFH

• ∠EKF ≅ ∠FHE

• $\overline{EK}$ $\cong$ $\overline{FH}$

Tags

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

CCSS.HSG.CO.C.10

CCSS.HSG.SRT.B.5

What is the perimeter of WXYZ?

Which of the figures are congruent?

• I and IV only

• I, II and IV only

• I, II, III, and IV

• None are congruent.

Tags

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

Which is not a theorem or postulate that can be used to prove triangles congruent?

• SAS

• ASA

• SSS

• SSA

Tags

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8