https://file.aiquickdraw.com/mathbot/file/17302114479531e8rs7kr.jpg

Let's work through each question:

### Question 4
Given that \( \triangle STU \cong \triangle KLM \), we know that corresponding sides and angles are congruent.

#### Answers:
- **a)** \( \overline{TU} \cong \overline{LM} \)
- **b)** \( \overline{KM} \cong \overline{SU} \)
- **c)** \( \overline{LK} \cong \overline{ST} \)
- **d)** \( \angle M \cong \angle U \)
- **e)** \( \angle T \cong \angle K \)
- **f)** \( \angle UST \cong \angle MKL \)
- **g)** \( \triangle UST \cong \triangle MKL \)
- **h)** \( \triangle TUS \cong \triangle LMK \)

### Question 5
Given \( \triangle BCM \cong \triangle ZYR \), we match the corresponding sides and angles.

#### Answers:
- **a)** \( CM = 11 \, \text{m} \) (since \( CM \cong YR \))
- **b)** \( BM = 15 \, \text{m} \) (since \( BM \cong ZY \))
- **c)** \( YZ = 8 \, \text{m} \) (since \( YZ \cong BC \))
- **d)** \( m\angle B = 45^\circ \) (corresponds with \( \angle Z \))
- **e)** \( m\angle M = 103^\circ \) (corresponds with \( \angle Y \))
- **f)** \( m\angle Y = 103^\circ \) (corresponds with \( \angle M \))

### Question 6
Given \( \triangle ACP \cong \triangle LNX \), we again match corresponding parts.

#### Answers:
- **a)** \( XL = 13 \, \text{cm} \) (since \( XL \cong AP \))
- **b)** \( AC = 21 \, \text{cm} \) (since \( AC \cong LN \))
- **c)** \( PC = 21 \, \text{cm} \) (since \( PC \cong NX \))
- **d)** \( m\angle L = 29^\circ \) (corresponds with \( \angle A \))
- **e)** \( m\angle C = 29^\circ \) (same angle in both triangles)
- **f)** \( m\angle X = 29^\circ \) (corresponds with \( \angle P \))

Would you like more details on any specific part or have additional questions?

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### Additional Practice Questions:
1. If \( \triangle ABC \cong \triangle DEF \) and \( AB = 5 \, \text{cm} \), \( \angle B = 45^\circ \), what are the corresponding measures in \( \triangle DEF \)?
2. How do you identify congruent triangles using the Side-Angle-Side (SAS) congruence theorem?
3. Given two congruent triangles, what can you infer about their perimeters?
4. How would you prove two triangles are congruent if you know all three sides of each triangle?
5. What properties do corresponding angles in congruent triangles share?

### Tip:
Always start by identifying corresponding parts when working with congruent triangles to ensure accuracy in matching angles and sides.

Given the image, solve questions about congruent triangles.

Learn to solve problems involving congruent triangles. Identify corresponding sides and angles using congruence theorems and the CPCTC principle. Ideal for students in Grades 8-10.

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