Question

geometry naming, classifying and finding angle measures practice activity determine the vertex of the angle, name each angle 3 different ways and determine if the angle is acute, obtuse, right or straight. 1) vertex: h name: ∠ihg, ∠ghi, ∠h classify: obtuse 2) vertex: name: classify: 3) vertex: name: classify: 4) vertex: name: classify: 5) vertex: name: classify: 6) vertex: name: classify: 7) vertex: name: classify: 8) vertex: name: classify: 9) vertex: name: classify: 10) vertex: name: classify:

Explanation:

Step1: Recall angle - naming rules

An angle can be named by its vertex (if there is only one angle at that vertex), by three points with the vertex in the middle, or by a single - letter name (if given). Acute angles are less than 90°, right angles are 90°, obtuse angles are between 90° and 180°, and straight angles are 180°.

Step2: Analyze problem 2

Vertex: \(S\)
Names: \(\angle RST\), \(\angle TSR\), \(\angle S\)
Classify: Acute (assuming the angle measure is less than 90° from the appearance)

Step3: Analyze problem 3

Vertex: \(J\)
Names: \(\angle IJH\), \(\angle HJI\), \(\angle J\)
Classify: Obtuse (assuming the angle measure is between 90° and 180° from the appearance)

Step4: Analyze problem 4

Vertex: \(E\)
Names: \(\angle DEF\), \(\angle FED\), \(\angle E\)
Classify: Right (since there is a right - angle symbol)

Step5: Analyze problem 5

Vertex: \(L\)
Names: \(\angle KLM\), \(\angle MLK\), \(\angle L\)
Classify: Acute (assuming the angle measure is less than 90° from the appearance)

Step6: Analyze problem 6

Vertex: \(D\)
Names: \(\angle EDF\), \(\angle FDE\), \(\angle D\)
Classify: Right (since there is a right - angle symbol)

Step7: Analyze problem 7

Vertex: \(L\)
Names: \(\angle KLM\), \(\angle MLK\), \(\angle L\)
Classify: Obtuse (assuming the angle measure is between 90° and 180° from the appearance)

Step8: Analyze problem 8

Vertex: \(K\)
Names: \(\angle JKL\), \(\angle LKJ\), \(\angle K\)
Classify: Right (since there is a right - angle symbol)

Step9: Analyze problem 9

Vertex: \(Q\)
Names: \(\angle RQS\), \(\angle SQR\), \(\angle Q\)
Classify: Acute (assuming the angle measure is less than 90° from the appearance)

Step10: Analyze problem 10

Vertex: \(O\)
Names: \(\angle POQ\), \(\angle QOP\), \(\angle O\)
Classify: Obtuse (assuming the angle measure is between 90° and 180° from the appearance)

Answer:

1. Vertex: \(S\), Name: \(\angle RST\), \(\angle TSR\), \(\angle S\), Classify: Acute
2. Vertex: \(J\), Name: \(\angle IJH\), \(\angle HJI\), \(\angle J\), Classify: Obtuse
3. Vertex: \(E\), Name: \(\angle DEF\), \(\angle FED\), \(\angle E\), Classify: Right
4. Vertex: \(L\), Name: \(\angle KLM\), \(\angle MLK\), \(\angle L\), Classify: Acute
5. Vertex: \(D\), Name: \(\angle EDF\), \(\angle FDE\), \(\angle D\), Classify: Right
6. Vertex: \(L\), Name: \(\angle KLM\), \(\angle MLK\), \(\angle L\), Classify: Obtuse
7. Vertex: \(K\), Name: \(\angle JKL\), \(\angle LKJ\), \(\angle K\), Classify: Right
8. Vertex: \(Q\), Name: \(\angle RQS\), \(\angle SQR\), \(\angle Q\), Classify: Acute
9. Vertex: \(O\), Name: \(\angle POQ\), \(\angle QOP\), \(\angle O\), Classify: Obtuse