Explanation

Chords that are equally distant from the center of a circle are always equal in length (congruent).

This is a fundamental property of chords in a circle.

Explanation

The function y = x + 100 is in the slope-intercept form y = mx + c, where:

m = 1 (slope)

c = 100 (y-intercept)

This confirms that the graph of the function is a straight line.

Explanation

A central angle of 90° represents one-quarter of the full circle (360°).

Therefore, the proportion of that part is 25%.

Explanation

A square pyramid has a square base and four triangular faces.

So, it has a total of 5 surfaces: 1 square + 4 triangular.

Explanation

A cuboid has 8 vertices, where three edges meet at each corner.

It also has 6 faces and 12 edges, forming a 3D rectangular box shape.

Explanation

The area of a triangle inscribed in a circle is given by:

Area = abc/4R

Explanation

 The point (0, -7) lies on the Y-axis because the x-coordinate is 0, and only the y-coordinate has a non-zero value (-7). Points on the Y-axis do not belong to any specific quadrant but are considered as lying directly on the axis itself.

Quadrant I contains points where both x and y are positive.

Quadrant II contains points where x is negative and y is positive.

Quadrant III contains points where both x and y are negative.

Quadrant IV contains points where x is positive and y is negative.

Since the x-coordinate is 0, this point is on the Y-axis.

Explanation

A parabola is defined as the set of points equidistant from a fixed point (focus) and a fixed line (directrix).

Its eccentricity (e) = 1, which distinguishes it from ellipses (e < 1) and hyperbolas (e > 1).

Explanation

A circle does not have a side and hence no vertex.

Hence, "circle" is different from all other given shapes.

 the square has 4 sides,

A hexagon has 6 sides,

triangle has 3 sides. 

Explanation