Points on a perpendicular bisector or on an angle bisector
Grade 10 Math Worksheet - Building Confidence
Circle the best answer, or write your answer on the line.
Luz pitches a tent whose pole SH is the perpendicular bisector of edge CW. HC = 17 inches and CW = 16 inches. How long is HW, in inches?
Milo plants a tree at Q, on the perpendicular bisector of park path UY. QU = 26 m and UY = 20 m. How long is QY, in m?
Pia sets a lamp Q on the bisector of a wall corner, ∠CVW. Q is 6 ft from side VC, and QV = 10 ft. How far is Q from side VW, in ft?
Ren plants a tree Q on the bisector of a path corner, ∠DGF. Q is 5 m from side GD, and QG = 13 m. How far is Q from side GF, in m?
Tala marks a camp S on the bisector of a road angle, ∠UHY. S is 8 km from side HU, and SH = 17 km. How far is S from side HY, in km?
Zee stands at a tower D on the bisector of a fence corner, ∠GWS. D is 9 m from side WG, and DW = 15 m. How far is D from side WS, in m?
Ari draws segment DF and ∠CVW on paper. Q is 7 cm from D and 7 cm from F. Which must be true?
- Q is the midpoint of DF.
- Q lies on segment DF.
- Q lies on the bisector of ∠CVW.
- Q lies on the perpendicular bisector of DF.
Bo draws segment GH and ∠UVY in crayon. Q is inside ∠UVY, 4 inches from each side. Which must be true?
- Q is the corner V.
- Q lies on the bisector of ∠UVY.
- Q lies on side VU.
- Q lies on the perpendicular bisector of GH.
Esme studies a map with road UW and field corner ∠DGF. S is 12 m from U and 12 m from W. Which must be true?
- S lies on the bisector of ∠DGF.
- S is the midpoint of UW.
- S lies on the perpendicular bisector of UW.
- S lies on segment UW.
Jun looks at a rug with seam CY and corner ∠QHS. D is inside ∠QHS, 3 ft from each side. Which must be true?
- D is the corner H.
- D lies on the perpendicular bisector of CY.
- D lies on side HQ.
- D lies on the bisector of ∠QHS.