Problems on Congruent Triangles

Which of these is a valid congruency statement for these 2 triangles?

• ∆UST ≅ ∆LKM

• ∆UST ≅ ∆MKL

• ∆UST ≅ ∆KML

• ∆UST ≅ ∆KLM

Which of these is a valid congruency statement for these 2 triangles?

• ∆PTW ≅ ∆HGD

• ∆PWT ≅ ∆GDH

•  ∠G ≅ ∠P

• ∠D ≅ ∠H

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

If ∆LMK ≅ ∆LMT, then ∠K ≅ (a)  

• T

• ∠T

• ∠M

• ∠L

∆ABC ≅ ∆XYZ, which is true?

• AB ≅ XY

• AB ≅ YX

• AB ≅ XZ

• BC ≅ CB

∆EHG≅∆KFC
Which is a true statement?

• EH≅FK

• HG≅KF

• EG≅KC

• ∠E≅∠C

Which of these is a valid congruency statement for these 2 triangles?

•  ∠R ≅ ∠S

• ∠J ≅ ∠Y

•  ∠Q ≅ ∠J

• ∠T ≅ ∠G

What is the length of segment CM?

• 8m

• 15m

• 11m

• 32°

What is the length of segment BM?

• 8m

• 15m

• 11m

• 32°

What are the values of x and y?

• 7, 23

• 6, 10

• 5, 14

• 9, 14