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Laabri

5.1 Worksheet

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Last updated about 4 years ago
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In the diagram below, \triangle{XYZ} \cong \triangle{MNL}. Complete each statement for the next 6 questions.

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1.

m\angle{Y} = ___________

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2.

m\angle{M} = ___________

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3.

YX = _______

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4.

\overline{YZ} \cong = _______

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In the diagram below, \triangle{ALX} \cong \triangle{GIW}. Complete each statement for the next 6 questions.

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7.

\overline{AL} \cong _______

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8.

\angle{L} \cong \angle{}___________

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9.

\overline{GW} \cong _______

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10.

\triangle{WIG} \cong \triangle{} _______

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In the diagram below, \triangle{ABC} \cong \triangle{DEF}. Complete each statement for the next 6 questions.

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13.

m\angle{C} = ___________

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14.

\overline{BC} \cong _______

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15.

\overline{DE} \cong _______

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16.

m\angle{A} = ___________

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17.

\triangle{CAB} \cong \triangle{} _______

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18.

Determine if the following two triangles are congruent. To do this, determine which of the following congruencies are, in fact, congruent, and if the reason associated is also correct.

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19.

If the triangles above are congruent, write a congruence statement. You do not need to write "Triangle", and use "=" for congruence. If they are not congruent, state "Not Congruent".

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20.

Determine if you have enough information to prove the following figures are congruent. If they are congruent, write a congruence statement. You do not need to write "Triangle", and use "=" for congruence. If they are not congruent, state "Not Congruent".

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21.

Determine if you have enough information to prove the following figures are congruent. If they are congruent, write a congruence statement. You do not need to write "Triangle", and use "=" for congruence. If they are not congruent, state "Not Congruent".

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22.

Determine if you have enough information to prove the following figures are congruent. If they are congruent, write a congruence statement. You do not need to write "Triangle", and use "=" for congruence. If they are not congruent, state "Not Congruent".

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23.

Using the diagram below, find the value of x.

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24.

Using the diagram below, find the value of x.

Use the diagram below for the next 2 questions.

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25.

Find the value of x.

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26.

Find the value of y.

Use the diagram below for the next 2 questions.

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27.

Find the value of x.

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28.

Find the value of y.

Use the diagram below for the next 2 questions.

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29.

Find the value of x.

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30.

Find the value of y.

Use the diagram below for the next 2 questions.

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31.

Find the value of x.

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32.

Find the value of y.

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5.

\triangle{LNM} \cong \triangle{} _______

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6.

\triangle{YXZ} \cong \triangle{} _______

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11.

m\angle{W} = ___________

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12.

IW = _______