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Triangles Congruencies HW Check

Total questions: 10

Worksheet time: 3hrs 30mins

Name
Class
Date
1.
What information is missing to determine if the triangles are congruent by HL?
a)
∠G ≅ ∠X
b)
∠H ≅ ∠W
c)
GI ≅ XV
d)
GH ≅ XW
2.
What information is missing to determine if the triangles are congruent by SAS?
a)
CA≅ NL
b)
∠C ≅ ∠N
c)
∠A ≅ ∠L
d)
∠B ≅ ∠M
3.

What additional information is required in order to know the triangles are congruent by SAS?

a)

IK‾≅DB‾\overline{IK}\cong\overline{DB}

b)

IJ‾≅DC‾\overline{IJ}\cong\overline{DC}

c)

∠K≅∠B\angle K\cong\angle B

d)

∠I≅∠D\angle I\cong\angle D

4.

What additional information is required in order to know the triangles are congruent by ASA?

a)

∠R≅∠E\angle R\cong\angle E

b)

QR‾≅DE‾\overline{QR}\cong\overline{DE}

c)

SQ‾≅FD‾\overline{SQ}\cong\overline{FD}

d)

SR‾≅FE‾\overline{SR}\cong\overline{FE}

5.

What additional information is required in order to know the triangles are congruent by AAS?

a)

BC‾≅FG‾\overline{BC}\cong\overline{FG}

b)

DB‾≅HF‾\overline{DB}\cong\overline{HF}

c)

∠D≅∠H\angle D\cong\angle H

d)

∠B≅∠F\angle B\cong\angle F

6.

What additional information is required in order to know the triangles are congruent by SSS?

a)

∠E≅∠Q\angle E\cong\angle Q

b)

EF‾≅DQ‾\overline{EF}\cong\overline{DQ}

c)

∠EFD≅∠QDF\angle EFD\cong\angle QDF

d)

∠EDF≅∠QFD\angle EDF\cong\angle QFD

7.

What additional information is required in order to know the triangles are congruent by ASA?

a)

∠W≅∠J\angle W\cong\angle J

b)

LJ‾≅WU‾\overline{LJ}\cong\overline{WU}

c)

∠U≅∠L\angle U\cong\angle L

d)

VJ‾≅VW‾\overline{VJ}\cong\overline{VW}

8.

What additional information is required in order to know the triangles are congruent by SAS?

a)

∠KBC≅∠ACB\angle KBC\cong\angle ACB

b)

∠A≅∠K\angle A\cong\angle K

c)

KB‾≅AC‾\overline{KB}\cong\overline{AC}

d)

∠ABC≅∠KCB\angle ABC\cong\angle KCB

9.

If ΔCAT≅ΔDOG\Delta CAT\cong\Delta DOG , CA = 14, AT = 18, TC = 21, and DG = 2x + 7, find the value of x.

a)

14

b)

21

c)

18

d)

7

10.

If ΔCAT≅ΔDOG\Delta CAT\cong\Delta DOG , CA = 14, AT = 18, and TC = 21, what is the length of DO‾\overline{DO} ?

a)

14

b)

21

c)

18

d)

7