Solving with Congruent Triangles

∆ABC ≅ ∆LMN. Which statement is NOT true?

• LM ≅ AB

• ∆CAB ≅ ∆NLM

• ∠C ≅ ∠N

• BC ≅ ML

These triangles are congruent. If ∠E is 45^o and ∠B is 55^o what is the measure of ∠ACB?

• 45^o

• 55^o

• 80^o

• 100^o

△BAC ≅ △QPR. If BC = 15, AB = 9, AC = 12, what is RQ?

• 9

• 12

• 15

• 36

These two triangles are congruent. If ∠C is 40^o find the measure of ∠F. Hint... be sure to find the measure of ∠F.

• 40^o

• 50^o

• 90^o

• 45^o

If ∆LMK ≅ ∆LMT, then ∠K ≅ (a)  

• T

• ∠T

• ∠M

• ∠L

If ∆ABC ≅ ∆XYZ and AB = 10 cm,

then XY = ______

• 10 cm

• 20 cm

• 5 cm

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

The two right triangles below are similar. What is x, the missing side length in triangle DEF? 

• 3.75

• 9.75

• 10

• 12

The two triangles are similar. Find the distance d across the river?

• 81m

• 18m

• 16m

• 25m

If ∆LMK ≅ ∆LMT, then ∠K ≅ ____ 

• T