Question

5:00 PM \( \quad \mathrm{V} \) 1. Fill in the missing statement or reason to complete the proof of the given inequality in a triangle. Given: \( \angle S T A \cong \angle S A T, \overline{T R}>\overline{A R} \) Prove: \( m \angle T S R>m \angle A S R \) Proot: \begin{tabular}{|l|l|} \hline \multicolumn{1}{|c|}{ Statement } & \multicolumn{1}{|c|}{ Reasion } \\ \hline 1. (1) & 1. Given \\ \hline 2. (2) & \begin{tabular}{l} 2. Corwerse of Isosceles Triangle \\ Theorem \end{tabular} \\ \hline 3. \( 50 \times 50 \) & 3. (3) \\ \hline 4. (4) & 4. (5) \\ \hline \end{tabular} 2. Mark the identified congruent parts, name the greater and smaller angle, and name the longer and shorter sides (6-8). Complete the proof by filling in the needed statement and reascn. Given: \( \overline{M A} \cong \overline{T H}, m \angle A M T>m \angle H T M \) Prove: \( \overline{A M}>\overline{H M} \) Proof: \begin{tabular}{|c|c|} \hline Statement & Reason \\ \hline 1. \( M A \equiv T H, m \angle A M T>m \angle H T M \) & 1. Given \\ \hline 2. (9) & 2. Reflexive Property of Equality \\ \hline 3. \( A M>H M \) & 3. (10) \\ \hline \end{tabular}

          5:00 PM \( \quad \mathrm{V} \)
1. Fill in the missing statement or reason to complete the proof of the given inequality in a triangle.
Given: \( \angle S T A \cong \angle S A T, \overline{T R}>\overline{A R} \)
Prove: \( m \angle T S R>m \angle A S R \)
Proot:
\begin{tabular}{|l|l|}
\hline \multicolumn{1}{|c|}{ Statement } & \multicolumn{1}{|c|}{ Reasion } \\
\hline 1. (1) & 1. Given \\
\hline 2. (2) & \begin{tabular}{l} 
2. Corwerse of Isosceles Triangle \\
Theorem
\end{tabular} \\
\hline 3. \( 50 \times 50 \) & 3. (3) \\
\hline 4. (4) & 4. (5) \\
\hline
\end{tabular}
2. Mark the identified congruent parts, name the greater and smaller angle, and name the longer and shorter sides (6-8). Complete the proof by filling in the needed statement and reascn.
Given: \( \overline{M A} \cong \overline{T H}, m \angle A M T>m \angle H T M \)
Prove: \( \overline{A M}>\overline{H M} \)
Proof:
\begin{tabular}{|c|c|}
\hline Statement & Reason \\
\hline 1. \( M A \equiv T H, m \angle A M T>m \angle H T M \) & 1. Given \\
\hline 2. (9) & 2. Reflexive Property of Equality \\
\hline 3. \( A M>H M \) & 3. (10) \\
\hline
\end{tabular}

5:00 PM V
1. Fill in the missing statement or reason to complete the proof of the given inequality in a triangle.
Given: ∠ S T A ≅∠ S A T, T R>A R
Prove: m ∠ T S R>m ∠ A S R
Proot:

1|c| Statement 1|c| Reasion

1. (1) 1. Given

2. (2)
2. Corwerse of Isosceles Triangle

Theorem

3. 50 × 50 3. (3)

4. (4) 4. (5)

2. Mark the identified congruent parts, name the greater and smaller angle, and name the longer and shorter sides (6-8). Complete the proof by filling in the needed statement and reascn.
Given: M A≅T H, m ∠ A M T>m ∠ H T M
Prove: A M>H M
Proof:

Statement Reason

1. M A ≡ T H, m ∠ A M T>m ∠ H T M 1. Given

2. (9) 2. Reflexive Property of Equality

3. A M>H M 3. (10)

Added by Glaiza Mae P.

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