Geometry Congruent Triangles Review

• A

• B

• C

• D

Identify the congruent triangles in the figure.

In the diagram,\(\Delta ABC\cong\Delta DEF\) Find the value of x.

In the diagram, \Delta ABC\cong\Delta DEF Find the value of y.

If ​ (a)   are congruent under the condition SAS, then ​ (b)   are congruent and the corresponding ​ (c)   the sides are also congruent.

• two triangles

• two corresponding sides

• angles between

Given ΔABC ≅ ΔDEF, state the congruent corresponding angles.

Use the given information to prove that triangles ABC and CDB are congruent. Explain your reasoning.

Triangles ABD and DCB are right triangles​ (a)   AB, BC CD and DA​ (b)   AB=AB​ (c)   . So, triangle ABD and CDB are congruent by ​ ​ (d)  

​​

​ ​

• because ABCD is a square

• are congruent because ABCD is a square

• because reflexive property

• HL

• AAA

• Opposite angles are congruent

∠A =

(a)  

• ∠M

• ∠N

• ∠L

To solve for x, you should make an equation using (a)   . When you solve that, you get x = ​ (b)   . When you plug that back in, you can find AM=​ (c)   and since BT is the same as ​ (d)   , BT=​ (e)   .

• AB and AM

• 4

• 29

• 35

• MN

• AM and MN

• 1

• 5

• 2

• 13

Remember order matters. Which of the following is true?

(a)  

• ∆FGH ≅ ∆VWH

• ∆FGH ≅ ∆VHW

• ∆HFG ≅ ∆HWV

• ∆HGF ≅ ∆VHW