RECTIONS: Choose and write the letter of the best answer on your answer sheet.
Which part of the mathematical system which cannot be precisely defined but we do accept by description
A. Undefined Terms
B. Defined Terms
C. Postulate
D. Theorem

Line segment and ray are examples of:
A. Undefined terms
B. Postulate
C. Defined terms
D. Theorem

What are the parts of the mathematical system?
1.

Defined terms
II. Guesses
III. Undefined Terms
IV. Doubts
V. Axioms/Postulates
VI. Theorems
A. I, 11, 111
B.
C. I, II, IV, V
D. I, III, V, VI

It is logical system which possesses an explicitly stated set of axioms from which theorems can be derived.
A. Postulate
B. Axiomatic system
C. Scientific Proof
D. Mathematical System

These terms are the basis in defining new terms and called the building blocks of geometry
1.

Segment
II. Point
III. Angle
IV. Ray
V. Line
VI. Plane
A. II, V, VI
B. I, V, VI
C. I, II, III
D.

It is a union of two non-collinear rays with common endpoint.
A. Triangle
B. Polygon
C. Diagonal
D. Angle

Which of the following is NOT true?

A line contains at least two points.
II. A plane contains at least three collinear points
III. Through any two points, there is exactly one line.
IV. Through any three non-collinear points, there is exactly one plane
A. 1
B. II
C. III
D. IV

What theorem is being shown figure 1 ?
A. If two lines intersect, then they intersect at exactly on point.
B. If a point lies outside the line, then exactly one plane contains both the line and the point
C. If two lines intersect, then exactly one plane contains both line
D. The intersection of two plane is a line.

Ask by Crawford Wells. in the Philippines

Mar 25,2025

Question

RECTIONS: Choose and write the letter of the best answer on your answer sheet.
Which part of the mathematical system which cannot be precisely defined but we do accept by description
A. Undefined Terms
B. Defined Terms
C. Postulate
D. Theorem

Line segment and ray are examples of:
A. Undefined terms
B. Postulate
C. Defined terms
D. Theorem

What are the parts of the mathematical system?
1.

Defined terms
II. Guesses
III. Undefined Terms
IV. Doubts
V. Axioms/Postulates
VI. Theorems
A. I, 11, 111
B.
C. I, II, IV, V
D. I, III, V, VI

It is logical system which possesses an explicitly stated set of axioms from which theorems can be derived.
A. Postulate
B. Axiomatic system
C. Scientific Proof
D. Mathematical System

These terms are the basis in defining new terms and called the building blocks of geometry
1.

Segment
II. Point
III. Angle
IV. Ray
V. Line
VI. Plane
A. II, V, VI
B. I, V, VI
C. I, II, III
D.

It is a union of two non-collinear rays with common endpoint.
A. Triangle
B. Polygon
C. Diagonal
D. Angle

Which of the following is NOT true?

A line contains at least two points.
II. A plane contains at least three collinear points
III. Through any two points, there is exactly one line.
IV. Through any three non-collinear points, there is exactly one plane
A. 1
B. II
C. III
D. IV

What theorem is being shown figure 1 ?
A. If two lines intersect, then they intersect at exactly on point.
B. If a point lies outside the line, then exactly one plane contains both the line and the point
C. If two lines intersect, then exactly one plane contains both line
D. The intersection of two plane is a line.

Ask by Crawford Wells. in the Philippines

Mar 25,2025

UpStudy AI · Accepted Answer

**1. Which part of the mathematical system which cannot be precisely defined but we do accept by description**

- In geometry, certain terms are not precisely defined; instead, their meaning is accepted by description. These are called the undefined terms.
- $$\boxed{A}$$

---

**2. Line segment and ray are examples of:**

- Line segments and rays are defined by using the undefined terms (point, line, plane) and additional specifications (such as endpoints).
- Thus, they are defined terms.
- $$\boxed{C}$$

---

**3. What are the parts of the mathematical system?**

The accepted parts include:
- Defined terms
- Undefined terms
- Axioms/Postulates
- Theorems

- This corresponds to:
  - I. Defined terms
  - III. Undefined Terms
  - V. Axioms/Postulates
  - VI. Theorems

- $$\boxed{D}$$

---

**4. It is logical system which possesses an explicitly stated set of axioms from which theorems can be derived.**

- This description fits an axiomatic system.
- $$\boxed{B}$$

---

**5. These terms are the basis in defining new terms and called the building blocks of geometry**

The building blocks (or undefined terms) in geometry are:
- Point (II)
- Line (V)
- Plane (VI)

- $$\boxed{A}$$

---

**6. It is a union of two non-collinear rays with common endpoint.**

- Two non-collinear rays sharing a common endpoint form an angle.
- $$\boxed{D}$$

---

**7. Which of the following is NOT true?**

- Statement I: "A line contains at least two points" → True.
- Statement II: "A plane contains at least three collinear points" → This is not true, since a plane is generally defined by at least three non-collinear points.
- Statement III: "Through any two points, there is exactly one line" → True.
- Statement IV: "Through any three non-collinear points, there is exactly one plane" → True.

- The false statement is II.
- $$\boxed{B}$$

---

**8. What theorem is being shown figure 1 ?**

- The theorem that states, "If two lines intersect, then exactly one plane contains both lines" is a common geometric theorem regarding intersecting lines.
- $$\boxed{C}$$
1. **Undefined Terms** $$\boxed{A}$$ 2. **Defined Terms** $$\boxed{C}$$ 3. **Parts of the Mathematical System** $$\boxed{D}$$ 4. **Axiomatic System** $$\boxed{B}$$ 5. **Undefined Terms** $$\boxed{A}$$ 6. **Angle** $$\boxed{D}$$ 7. **Statement II** $$\boxed{B}$$ 8. **If two lines intersect, then exactly one plane contains both lines** $$\boxed{C}$$

Solución de inteligencia artificial de Upstudy

Responder

Solución

Beyond the Answer

preguntas relacionadas

Latest Geometry Questions