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1113 MATH - GEOMETRY (PACE) EXAM QUESTIONS AND ANSWERS
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If in the same circle, or congruent circles, two chords are congruent, then their __________. (T. 48) - correct answer ✅arcs are congruent If a diameter is perpendicular to a chord, then the diameter bisects __________. (T.49) - correct answer ✅the chord and its two arcs If in the same circle, or congruent circles, two chords are __________ from the center, then they are __________. (T. 51) - correct answer ✅equidistant congruent A __________ is a line segment joining any two points on a circle. - correct answer ✅chord Congruent circles are two circles having congruent __________. - correct answer ✅radii
A secant is a line that intersects a circle in __________ points and extends beyond the circle. - correct answer ✅two A __________ is a line that intersects a circle in only one point. - correct answer ✅tangent A __________ bisects the circle. - correct answer ✅diameter A point is in the __________ of a circle if the measure of its distance from the center is greater than the length of the radii. - correct answer ✅exterior The __________ of a circle is the distance around a circle. - correct answer ✅circumference The __________ of a circle is a portion of a circle bounded by two radii and the arc of the circle. - correct answer ✅sector
A __________ is an arc equal to half a circle whose endpoints are endpoints of a diameter. - correct answer ✅semicircle If the diameter is 18cm, then the circumference is approximately __________. - correct answer ✅C = Pie * Diameter C = 3.14 * 18 C = 56.52 cm If the radius is 7mm, then the area is approximately __________. - correct answer ✅A = Pie * Radius^ A = 3.14 * 7^ A = 3.14 * 49 A = 153.86mm The formula used to find the area of a sector is __________. - correct answer ✅(n/360) * (Pie * Radius^2)
arc - correct answer ✅any part of a circle included between any two of its points central angle of a circle - correct answer ✅an angle whose vertex is at the center of a circle and whose sides are radii chord - correct answer ✅a line segment joining any two points on a circle common external tangent - correct answer ✅a common tangent that does not intersect the segment joining the centers of two circles common internal tangent - correct answer ✅a common tangent intersecting the segment that joins the centers of two circles
The locus of the endpoint of a minute hand 1.5 centimeters long during the length of 1 hour. - correct answer ✅Know how to draw and describe Two circles have the same center. One circle has a radius of 3 centimeters, and the other has a radius of 1 centimeter. What is the locus of points equidistant from the two circles? - correct answer ✅Know how to draw and describe exterior of a circle - correct answer ✅all those points whose distances from the center are greater than the lengths of the radii interior of a circle - correct answer ✅all those points whose distances from the center are less than the lengths of the radii minor arc - correct answer ✅an arc that measures less than a semicircle
What is the Arc Addition Postulate? - correct answer ✅If arc AB and arc BC meet at a single point B on a circle, then the measure of arc AB + the measure of arc BC = the measure of arc AC or the measure of arc AB + the measure of arc BC = the measure of arc ABC (for a major arc) P. If in the same circle, or congruent circles, two arcs are congruent, then __________. (T. 47) - correct answer ✅their chords are congruent Two tangent segments from an __________ to a circle are __________. (T. 55) - correct answer ✅exterior point congruent A line segment joining any two points on a circle is a __________. - correct answer ✅chord A common tangent intersecting the segment that joins the centers of two circles is a __________. - correct answer ✅common internal tangent
= 7.85 m If the radius is 9mm and the measure of arc AB is 40, what is the sector area of AOB? - correct answer ✅sector area = (n/360) * (Pie * Radius^2) = (40/360) * 3.14 * 9^ = (40/360) * 3.14 * 81 = 28.2599mm = 28.26mm The locus of the center of a circle 1 centimeter in diameter rolling around a circle that is 2 centimeters in diameter. - correct answer ✅Know how to draw and describe The locus of points equidistant from the two sides of an angle having a measure of 45. - correct answer ✅Know how to draw and describe