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Laabri

Chapter 5 Test A

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Last updated about 4 years ago
35 Nsɛmmisa
1

For the next 9 questions, determine whether each pair of triangles can be proven congruent. If they can, choose the appropriate congruence postulate. If they cannot, choose "Not Congruent".

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1.

What does CPCTC stand for?

Use the following information for the next 3 questions:

\triangle{ETY}\cong\triangle{IOK}

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2.

\overline{TE} \cong _________

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3.

\angle{Y} \cong \angle{}________

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4.

\overline{KI} \cong _________

Use the following information for the next 6 questions.

Given that \triangle{MKL}\cong\triangle{JET}, complete each statement with an appropriate corresponding side, angle, degree, triangle, or length.

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5.

\angle{T} \cong \angle{}________

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6.

\overline{JE} \cong _________

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7.

m\angle{E} = _________

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8.

ML = _________

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19.

For the next 3 questions, name the additional congruent, corresponding part needed so that \triangle{ABC}\cong\triangle{RTX} by the postulate stated. Use the "=" symbol for congruence. If the missing part is an angle, do NOT write "Angle".

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20.

\angle{X} \cong \angle{C}, \overline{AC} \cong \overline{RX}, by ASA

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21.

\angle{A} \cong \angle{R}, \overline{AC} \cong \overline{RX}, by AAS

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22.

\angle{X} \cong \angle{C}, \overline{AC} \cong \overline{RX}, by SAS

For the next 3 questions, tell whether you can use the given information to determine if \triangle{ABC}\cong\triangle{RTX} If yes, state the postulate that allows you to do so.

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23.

\angle{B} \cong \angle{T}, \angle{A} \cong \angle{R}, \overline{AB} \cong \overline{RT}

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Use the diagram below for the next 2 questions.

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26.

Find the value of a.

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27.

Find the value of b.

Use the diagram below for the next 2 questions.

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28.

Find the value of a.

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29.

Find the value of b.

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30.

Using the Show Your Work section, complete the following proof.

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31.

Using the Show Your Work section, complete the following proof.

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32.

Using the Show Your Work section, complete the following proof.

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33.

Using the Show Your Work section, complete the following proof.

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34.

Using the Show Your Work section, complete the following proof.

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35.

BONUS: Using the Show Your Work section, complete the following proof.

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9.

\triangle{LMK}\cong\triangle{} _________

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10.

m\angle{T} = _________

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24.

\angle{C} and \angle{X} are right angles, \overline{AC} \cong \overline{RX}, \overline{AB} \cong \overline{RT}

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25.

\overline{BC} \cong \overline{TX}, \overline{AC} \cong \overline{RX}, \angle{C} \cong \angle{X}