Congruent Polygons

If ΔABC ≅ ΔXYZ, which statement is always true?

• AB = YZ

• ∠C ≅ ∠Z

• ∠B ≅ ∠C

• AC = XY

Choose the correct congruence statement for the figures shown.

• ∆TUV ≅ ∆EUV

• ∆VUT ≅ ∆UVE

• ∆TUV ≅ ∆UEV

• ∆UTV ≅ ∆EUV

Remember order matters. Which of the following is true?

• ∆JLK ≅ ∆XWJ

• ∆LJK ≅ ∆JWX

• ∆JKL ≅ ∆JXW

• ∆LKJ ≅ ∆JXW

Based on this diagram, which statement is not true?

Given the congruent polygons
DFGH ≅ QRST, If FG =12, DH = 15 and
m ∠ T = 110° then find the following… 
QT = ___________  RS = ___________ and m∠ H = _______________

• QT = 15  RS = 12 and m∠ H =110°

• QT = 12  RS = 15 and m∠ H =110°

• QT = 15  RS = 12 and m∠ H =70°

• QT = 12  RS = 15 and m∠ H =70°

Given ABCD ≅ EFGH, x = (a)   and y = ​ (b)   .

• 7

• 8

• -3.7

• 34.75

• 6

• 20

Given ∆GEF ≅ ∆QOP, m∠O = (a)   and QO = ​ (b)  

• 110°

• 7 km

• 70°

• 20 km

What statement is needed to prove that the polygons are congruent?

Find the value of x

• 4

• 6

• 8

• 10