#5.2 Congruent Polygons

If ΔABC ≅ ΔXYZ, which statement is always true?

• AB = YZ
• ∠C ≅ ∠Z
• ∠B ≅ ∠C
• AC = XY

Tags

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

CCSS.HSG.SRT.B.5

Remember order matters. Which of the following is true?

• ∆JLK ≅ ∆XWJ
• ∆LJK ≅ ∆JWX
• ∆JKL ≅ ∆JXW
• ∆LKJ ≅ ∆JXW

Tags

CCSS.HSG.CO.B.7

Given $\Delta EFI\cong\Delta HGI$  

Complete the following: $<F\cong$ ______  

• H

• I

• G

• not congruent to another angle

Tags

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

Based on this diagram, which statement is not true?

• $<B\cong<F$

• $\overline{CD}\cong\overline{GH}$

• $<E\cong<A$

• $\overline{BC}\cong\overline{FE}$

Tags

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

CCSS.HSG.SRT.B.5

 $\Delta XYZ\cong\Delta RST$  
Find the value of x.

• 17.5

• 25

• 30

• 15.5

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

 $\Delta XYZ\cong\Delta RST$  

Find the value of y (lowercase).

• 2

• 7

• 15

• 30

Tags

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

CCSS.HSG.SRT.B.5

 $ABCD\cong EFGH$  

Find the value of x

• 4

• 6

• 8

• 10

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

CCSS.HSG.CO.B.6

CCSS.HSG.CO.C.10

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

•  $\overline{JQ}\cong\overline{QL}$  

•  $\overline{KL}\cong\overline{NP}$  

•  $<L\cong<L$  

•  $<N\cong<K$  

Tags

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

Find $m<T$  

•  $41\degree$  

•  $65\degree$  

•  $74\degree$  

•  $82\degree$  

Tags

CCSS.HSG.CO.C.10

CCSS.HSG.SRT.D.11

Choose the correct congruence statement for the figures shown.

• ∆TUV ≅ ∆EUV

• ∆VUT ≅ ∆UVE

• ∆TUV ≅ ∆UEV

• ∆UTV ≅ ∆EUV

Tags

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

CCSS.HSG.SRT.B.5