Geometry B Unit 1 Test Study Guide (2023/2024) Already Passed

Geometry B Unit 1 Test Study Guide (2023/2024) Already Passed Given: Circle A externally tangent to Circle B. A common internal tangent is: line s line r segment AB Line r Identify the common external tangent. segment AB line r line s Line s Given: Circle A externally tangent to Circle B. Line segment AM is perpendicular to: line segment MB line r line s line segment JK Line R (definition of perpendicular) Given: Circle A externally tangent to Circle B. The point of tangency of line s to circle A is _____. point A point M point K point J Point J Given: Circle A externally tangent to Circle B. How many possible common tangents to circles A and B can exist? 4 3 2 3 (since one internal and two external tangents are possible) Refer to the figure and match the theorem that supports the statement. 1. If chords are =, then arcs are =. 2. If arcs are =, then chords are =. 3. Diameters perpendicular to chords bisect the chord 1. If BC = DE, then Arc BC = Arc DE 2. If Arc BC = Arc DE, then BC = DE 3. If AX is perpendicular to BC, then BX = XC Given: Line segment DR is tangent to Circle O. If m arc DB = 150°, then angle A = 150 75 105 105 Given: Line segment DR is tangent to Circle O. If m angle C = 63°, then m angle BDR = 63 90 126 63 Given: Line segment DR is tangent to Circle O. If m angle RDC = 120°, then m arc DAC = 240 60 120 240 Given: Line segment PB is tangent. Line segments PV, PU are secants. If m arc VU = 80° and m arc ST = 40°, then m angle 1 = 20 40 60 20 Given: Line segment PB is tangent. Line segments PV, PU are secants. If m arc VU = 70° and m arc ST = 30°, then m angle 2 = 35 20 50 50 Given: Line segment PB is tangent. Line segments PV, PU are secants. If m arc VB = 60° and m arc BS = 30°, then m angle 3 = 30 15 45 15 Given: Line segment PB is tangent. Line segments PV, PU are secants. If m angle 1 = 30° and m arc ST = 20°, then m arc VU= 80 40 10 80 Given: Line segment AB diameter of Circle P. If m angle 1 = 40°, then m arc AB= 20 80 40 40 Given: Line segment AD diameter of Circle P. m arc AB+ m arc BC = measure of minor arc AC major arc AC Minor arc AC (A major arc is 180 degrees or more) Given: Line segment AD diameter of Circle P. Angle 1 = m angle 3 = 20°, then m arc BC = 160 50 140 140 Given: Line segment AD diameter of Circle P. If triangle ABD were drawn, the measure of angle B would equal 180 90 45 90 (It'd be a right angle) x = 8 10 9 8 (since 10 x 4 is 40, 5 x X would need to equal 40 as well. Therefore 8. It is NOT addition, so NOT 9) (Secant with an interior amount of 8, external amount of 4, and line x connected to it is shown) Find x in the given figures. x = inches. I don't actually know this one cause I'm too lazy to figure it out, but 3√6 is COMPLETELY wrong (Two secant lines connecting, one with measurements of 5 (interior) and 4 (exterior), and another with measurements of x (interior) and 3 (exterior)) x = 6 9 12 9 Find x in the given figure. (The vertical chord is a diameter.) x = inches. 2√3 (Two secants (one a diameter) with both 30 and 10 degree angles, and an arc labeled x) x = 140 120 100 NOT 100, you just need to find the other two arcs above the diameter using the angle measurements, and subtract the combination of them by 180 to find x (Square-ish shape inscribed in a circle, with bottom left corner equaling a 98 degree angle, with X in the top right corner --diagonally opposite) x = 262 98 82 82 (since the two combined angles would need to equal 180) Given: Two concentric circles with center point P. How many tangent lines can be drawn that both circles share? 2 0 1 0 (a tangent cannot touch a circle at more than on point by definition, and concentric circles cannot therefore share a tangent)