4th Monthly Exam Math Reviewer G10 PDF

**MATH REVIEWER G10- 4^th^ Monthly Exam \| PDMN** **Circle** - is the set of all points in the plane that are a fixed distance (the radius) from a fixed point (the centre). **Center** - is the fixed point from which all points on the boundary of the circle are equidistant. **Radius** - is a line...

**MATH REVIEWER G10- 4^th^ Monthly Exam \| PDMN** **Circle** - is the set of all points in the plane that are a fixed distance (the radius) from a fixed point (the centre). **Center** - is the fixed point from which all points on the boundary of the circle are equidistant. **Radius** - is a line segment that connects the center of the circle to any point on the circle. **Diameter** - is a line segment that passes through the center of the circle and connects two points on the circle. **Chord** - refer to lines drawn between any two points located on the circumference of a circle. **Central Angle** - is the angle formed by two arms and having the vertex at the center of a circle. - is an angle whose vertex is at the center of the circle and its sides contain a radius of the same circle. **Inscribed Angle** - is formed by two chords that have a common end point on the circle. - is formed when two lines go through the circumference of the circle and share a common point, or vertex. - of a circle is an angle is an angle whose vertex lies on the circle and its sides form a chord. **Arc -** is a part of the circumference of the circle. - is a portion of the circumference of a circle.  **Secant** - is the line that cuts across the circle intersecting the circle at two distinct points. **Tangent** - is defined as a straight line that touches the curve of the circle at only one point and does not enter the circle's interior. **Central Angle-Intercepted Arc Postulate (CA-IA Postulate) -** The [measure of the central angle of a circle] is equal to the [measure of the intercepted arc] and vice versa. **INTERCEPTED ARC** - Having endpoints lying on the central angle of the circle. - **Having the endpoints of a diameter.** **ARC DEGREE MEASURE** - Half of the measure of the circle. **ARC ADDITION POSTULATE** - The measure of the arc formed by two adjacent arcs is the sum of the two arcs. **Arc Length** - is the product of the ratio and the circumference of the circle. Arc Length Formula: \ [\$\$\\frac{\\mathbf{\\text{arc\~degree\~measure}}}{\\mathbf{360{\^\\circ}}}\\mathbf{\\ x\\ 2}\\mathbf{\\text{πr}}\$\$]{.math.display}\ ***GCF: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360*** **Chord** - is a segment having endpoints lying on a circle. **Diameter** - is a special type of chord **SEGMENTS PERPENDICULAR TO A CHORD (SPC) THEOREM** - "If a diameter or a radius is perpendicular to a chord in a circle, then it bisects the chord and its arc."