Test: Geometry - 1 - Software Development MCQ

Equilateral

Isosceles

Scalene

Quadrilateral

90 degrees

180 degrees

270 degrees

360 degrees

It has equal sides and angles.

It has no sides or angles.

It has one side and no angles.

It has infinite sides and angles.

Hypotenuse

Base

Perpendicular

All sides are equal in length

base * height

length * width

(base * height) / 2

π * radius^2

def triangle_area(x1, y1, x2, y2, x3, y3):
    return abs(x1 * (y2 - y3) + x2 * (y3 - y1) + x3 * (y1 - y2)) / 2

def triangle_area(x1, y1, x2, y2, x3, y3):
    return abs(x1 * (y2 - y3) + x2 * (y3 - y1) + x3 * (y1 - y2))

def triangle_area(x1, y1, x2, y2, x3, y3):
    return abs((x1 * (y2 - y3) + x2 * (y3 - y1) + x3 * (y1 - y2)) / 2)

def triangle_area(x1, y1, x2, y2, x3, y3):
    return (x1 * (y2 - y3) + x2 * (y3 - y1) + x3 * (y1 - y2)) / 2

3

4

5

7

Check if the distance between the center of the circle and the point is less than the radius of the circle.

Check if the distance between the center of the circle and the point is greater than the radius of the circle.

Check if the distance between the center of the circle and the point is equal to the radius of the circle.

None of the above.

8

16

64

512

A polygon with all interior angles greater than 90 degrees.

A polygon with all sides of equal length.

A polygon that does not have any diagonals.

A polygon with all interior angles less than 180 degrees.

```python
def do_segments_intersect(x1, y1, x2, y2, x3, y3, x4, y4):
    return (x1 - x2) * (y3 - y4) - (y1 - y2) * (x3 - x4) != 0
```

```python
def do_segments_intersect(x1, y1, x2, y2, x3, y3, x4, y4):
    return (x1 - x2) * (y3 - y4) - (y1 - y2) * (x3 - x4) == 0
```

```python
def do_segments_intersect(x1, y1, x2, y2, x3, y3, x4, y4):
    return (x1 - x2) * (y3 - y4) + (y1 - y2) * (x3 - x4) == 0
```

```python
def do_segments_intersect(x1, y1, x2, y2, x3, y3, x4, y4):
    return (x1 - x2) * (y3 - y4) + (y1 - y2) * (x3 - x4) != 0
```

```python def length_of_union_segments(x1, y1, x2, y2, x3, y3, x4, y4): length1 = abs(x2 - x1) + abs(y2 - y1) length2 = abs(x4 - x3) + abs(y4 - y3) return length1 + length2 ```

```python def length_of_union_segments(x1, y1, x2, y2, x3, y3, x4, y4): length1 = max(abs(x2 - x1), abs(y2 - y1)) length2 = max(abs(x4 - x3), abs(y4 - y3)) return length1 + length2 ```

```python def length_of_union_segments(x1, y1, x2, y2, x3, y3, x4, y4): length1 = math.sqrt((x2 - x1)**2 + (y2 - y1)**2) length2 = math.sqrt((x4 - x3)**2 + (y4 - y3)**2) return length1 + length2 ```

```python def length_of_union_segments(x1, y1, x2, y2, x3, y3, x4, y4): length1 = abs(x2 - x1) + abs(y2 - y1) length2 = math.sqrt((x4 - x3)**2 + (y4 - y3)**2) return length1 + length2 ```

0

1

2

4

No intersection

One circle is completely inside the other

Intersection exists

Error: math module not imported

def line_circle_intersection(x1, y1, x2, y2, cx, cy, r):
    dx = x2 - x1
    dy = y2 - y1
    dr = math.sqrt(dx**2 + dy**2)
    D = x1*y2 - x2*y1
    discriminant = r**2 * dr**2 - D**2
    return discriminant >= 0

def line_circle_intersection(x1, y1, x2, y2, cx, cy, r):
    dx = x2 - x1
    dy = y2 - y1
    dr = math.sqrt(dx**2 + dy**2)
    D = x1*y2 - x2*y1
    discriminant = r**2 * dr**2 - D**2
    return discriminant > 0

def line_circle_intersection(x1, y1, x2, y2, cx, cy, r):
    dx = x2 - x1
    dy = y2 - y1
    dr = math.sqrt(dx**2 + dy**2)
    D = x1*y2 - x2*y1
    discriminant = r**2 * dr**2 - D**2
    return discriminant == 0

def line_circle_intersection(x1, y1, x2, y2, cx, cy, r):
    dx = x2 - x1
    dy = y2 - y1
    dr = math.sqrt(dx**2 + dy**2)
    D = x1*y2 - x2*y1
    discriminant = r**2 * dr**2 - D**2
    return discriminant < 0