Using Congruent Triangles & Isosceles Triangles

If GH = 10, GJ = 4, and HJ = 9, what is the length of  $\overline{HI}$  

• HI = 10

• HI = 4

• HI = 9

• There's not enough information

How can you justify that  $\Delta HGJ\cong\Delta JIH$  ?

• CPCTC

• ASA

• SSS

• HL

Tags

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

If  $\angle A\ \cong\angle C$  , and  $\angle ADB\ \cong\angle CBD$   then

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

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

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

•  $\overline{AB}$  is not congruent to any other segment because the triangles are not congruent.

Tags

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

CCSS.HSG.CO.C.10

CCSS.HSG.CO.C.9

 $\Delta BRM\ \cong\ \Delta KYZ$  . How can you justify that  $\overline{YZ}\ \cong\ \overline{RM}$  ?

• CPCTC

• SAS

• SSS

• AAS

Tags

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

The value of x in the diagram is 55, what is the value of z? Explain.

What is the value of y in the diagram? Show work.

The lengths of two of the sides of an equilateral triangle are  $3x+15$   and  $7x-5$  . What is the length of the third side?

• 5

• 15

• 35

• 30

 $\overline{AB}\ \cong$  _______

•  $\overline{AD}$  

•  $\overline{AC}$  

•  $\overline{BC}$  

•  $\overline{BD}$  

 $\angle CBE\ \cong$  _______

•  $\angle CBA$  

•  $\angle CEB$  

•  $\angle BCE$  

•  $\angle A$  

 $\angle D\ \cong$  _______

•  $\angle CBE$  

•  $\angle CEB$  

•  $\angle BCE$  

•  $\angle BED$