Homework 4: Congruent Triangles

Triangles TPW and DHG are shown with matching tick marks indicating three pairs of corresponding sides and one pair of corresponding angles. Write a valid congruency statement that matches the marked correspondence.

• ΔTPW ≅ ΔGHD

• ΔTPW ≅ ΔDGH

• ΔTWP ≅ ΔDHG

• ΔPTW ≅ ΔHDG

Given ΔABE ≅ ΔMNP, which pair of corresponding sides is congruent?

• AB ≅ MN

• AB ≅ MP

• BE ≅ MN

• AE ≅ NP

Given ΔQRY ≅ ΔJLS, which angle corresponds to ∠Q?

• ∠J

• ∠L

• ∠S

• ∠Y

Given ΔSTU ≅ ΔKLM, which side corresponds to TU?

• KL

• LM

• KM

• KS

Given ΔSTU ≅ ΔKLM, which angle corresponds to ∠M?

• ∠S

• ∠T

• ∠U

• ∠L

Given ΔACP ≅ ΔLNX with AP = 13 cm, ∠A = 29°, and LN is marked 21 cm in the corresponding triangle, what is CP?

• 21

• 13

• 8

• 29

Given ΔXPS ≅ ΔDNF with side XS = 17x + 3 corresponds to DF = 54 , and PS = 4y − 3 corresponds to NF = 51, what is the value of x?

• x = 3

• x = 51/17

• x = 9/17

• x = 3/17

Given ΔXPS ≅ ΔDNF with side XS = 17x + 3 corresponds to DF = 54 , and PS = 4y − 3 corresponds to NF = 51, what is the value of y?

• y = 12

• y = 13.5

• y = 27

• y = 18

Given ΔMTW ≅ ΔBGK with ∠T = 41°, ∠K = 45°, and ∠B = (11y + 6)°, find y.

• y = 3

• y = 8

• y = 4

• y = 6