Can you explain why the 3rd option is correct? correct. He will need toensure that the distancefrom S to P and thedistance from S to R areequal.Trey is correct. Since theinitial arc was drawn withthe point of the compassTrey takes the angle shown,places the point of his compasson S, RS = PS.on S, and draws an arc with anTrey is not necessarilycorrect. He will need toarbitrary radius intersecting theensure that the compassrays of the angle at P and R.Trey claims that as long as hedraws two more arcs by placingthe needle of his compass onwidth remains the samefor each arc drawn fromP and R.Trey is correct. Since thecompass is placed on theP and then on R, drawing a raypoints P and R to drawthe remaining two arcs,from S through the point atthe ray drawn throughwhich the arcs intersect, he willtheir intersection willbe able to bisect ZS. Is Treybisect the angle.correct? Explain.PIC•COLLAGE

Trey draws an angle RSP. Then, he draws two arcs from two points R and P and these two arcs are…

correct. He will need to R ensure that the distance from S to P and the distance from S to R are equal. Trey is correct. Since the initial arc was drawn with Trey takes the angle shown, places the point of his compass the point of the compass on S, RS = PS. on S, and draws an arc with an Trey is not necessarily correct. He will need to arbitrary radius intersecting the ensure that the compass rays of the angle at P and R. width remains the same for each arc drawn from Trey claims that as long as he draws two more arcs by placing P and R. the needle of his compass on Trey is correct. Since the compass is placed on the P and then on R, drawing a ray points P and R to draw the remaining two arcs, the ray drawn through from S through the point at which the arcs intersect, he will their intersection will bisect the angle. be able to bisect ZS. Is Trey correct? Explain. PIC•COLLAGE

correct. He will need to R ensure that the distance from S to P and the distance from S to R are equal. Trey is correct. Since the initial arc was drawn with Trey takes the angle shown, places the point of his compass the point of the compass on S, RS = PS. on S, and draws an arc with an Trey is not necessarily correct. He will need to arbitrary radius intersecting the ensure that the compass rays of the angle at P and R. width remains the same for each arc drawn from Trey claims that as long as he draws two more arcs by placing P and R. the needle of his compass on Trey is correct. Since the compass is placed on the P and then on R, drawing a ray points P and R to draw the remaining two arcs, the ray drawn through from S through the point at which the arcs intersect, he will their intersection will bisect the angle. be able to bisect ZS. Is Trey correct? Explain. PIC•COLLAGE

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter5: Similar Triangles

Section5.6: Segments Divided Proportionally

Problem 34E: Use Exercise 33 and the following drawing to complete the proof of this theorem: The length of the...

See similar textbooks

Similar questions

A tangent ET is constructed to circle Q from external point E. Which angle and which side of triangle QTE are largest? Which angle and which side are smallest?
Circles O, P, and Q are tangent as shown at points X, Y, and Z. Being as specific as possible, explain what type of triangle PQO is if: a OX=2,PY=3,QZ=1 b OX=2,PY=3,QZ=2
The center of a circle of radius 3 inches is at a distance of 20 inches from the center of a circle of radius 9 inches. What is the exact length of common internal tangent AB? HINT: Use similar triangles to find OD and DP. Then apply the Pythagorean Theorem twice.
a Argue that the midpoint of the hypotenuse of a right triangle is equidistant from the three vertices of the triangle. Use the fact that the congruent diagonals of a rectangle bisect each other. Be sure to provide a drawing. bUse the relationship from part a to find CM, the length of the median to the hypotenuse of right ABC, in which mC=90, AC = 6, and BC = 8.
In right ABC with right C,AD bisects BAC. If AC=6 and DC=3, find BD and AB. HINT: Let BD=x and AB=2x. Then use the Pythagorean Theorem.
Given: rs Transversal t 1 is a right Prove: 2 is a right
Given: AB is an external tangent to O and Q at points A and B; radii lengths for O and Q are 4 and 9. Find: AB HINT: The line of centers OQ contains point C, the point at which O and Q are tangent.
The center of a circle of radius 2 inches is at a distance of 10 inches from the center of a circle of radius length 3 inches. To the nearest tenth of an inch, what is the approximate length of a common internal tangent? Use the hint provided in Exercise 38. HINT: use similar triangles to find OD and DP. Then apply the Pythagorean Theorem twice.
X, Y, and Z are on circle O such that mXY=120, mYZ=130, and mXZ=110. Suppose that triangle XYZ is drawn and that the triangle ABC is constructed with its sides tangent to circle O at X, Y, and Z. Are XYZ and ABC similar triangles?
a. Suppose that you wish to prove that RSTSRV. Using the reason Identity, name one pair of corresponding parts that are congruent. b. Suppose you wish to prove that RWTSWV. Considering the figure, name one pair of corresponding angles of these triangles that must be congruent.
Given: XYZ with angles as shown in the drawing Find: XY HINT: Compare this drawing to the one for Exercise 20.
Given: Equiangular RST Prove: RV bisects SRT RVS is a right