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Lines & angles

Angle pair equationsHSG.CO.C.9Parallel lines and transversalsHSG.CO.C.9

Triangles & congruence

Triangle angle sum and exterior anglesHSG.CO.C.10Triangle inequality theoremTriangle congruence (SSS, SAS, ASA, AAS, HL)HSG.SRT.B.5Triangle midsegment theoremHSG.CO.C.10

Polygons & quadrilaterals

Interior and exterior angles of polygonsProperties of parallelogramsHSG.CO.C.11Area of regular polygons

Similarity

Similar triangles and scale factorsHSG.SRT.B.5Triangle proportionality (side splitter)HSG.SRT.B.4

Right triangles & trigonometry

Special right triangles (45-45-90 and 30-60-90)HSG.SRT.C.6Trigonometric ratios (sine, cosine, tangent)HSG.SRT.C.6Solving right triangles with trigonometryHSG.SRT.C.8Law of sines and law of cosinesHSG.SRT.D.11

Circles

Arc length and sector areaHSG.C.B.5Inscribed and central anglesHSG.C.A.2Equation of a circleHSG.GPE.A.1Segments of chords, secants and tangentsHSG.C.A.2

Coordinate geometry

Distance and midpoint formulasHSG.GPE.B.7Partitioning a segment in a ratioHSG.GPE.B.6

Surface area & volume

Surface area of prisms, cylinders, cones, pyramids and spheresVolume of pyramids and prismsHSG.GMD.A.3

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1. Partitioning a segment in a ratio

Questions

Difficulty

Planned: 12 / 60 questions

12 questionsSign in to download PDFsSettingsShow answers

Name ______________________Date ____________Score ____ / 12

Partitioning a segment in a ratio practice

Partitioning a segment in a ratio · 1–12

Find the coordinates of point P.

Medium

1.A(2, −1), B(2, −8)Find point P on AB so that AP : PB = 3 : 4.

Medium

2.A(−2, 8), B(1, 14)Find point P on AB so that AP : PB = 2 : 4.

Medium

3.A(6, 4), B(−2, 12)Find point P on AB so that AP : PB = 1 : 3.

Medium

4.A(3, −2), B(−3, 4)Find point P on AB so that AP : PB = 2 : 4.

Medium

5.A(−7, 6), B(−16, 12)Find point P on AB so that AP : PB = 2 : 1.

Medium

6.A(6, 7), B(18, 4)Find point P on AB so that AP : PB = 4 : 2.

Medium

7.A(3, 0), B(−7, 0)Find point P on AB so that AP : PB = 4 : 1.

Medium

8.A(−1, 6), B(−11, 1)Find point P on AB so that AP : PB = 2 : 3.

Medium

9.A(−2, 6), B(7, 15)Find point P on AB so that AP : PB = 4 : 2.

Medium

10.A(−6, 0), B(−12, −6)Find point P on AB so that AP : PB = 2 : 1.

Medium

11.A(−8, 4), B(−1, 4)Find point P on AB so that AP : PB = 4 : 3.

Medium

12.A(0, −3), B(0, −11)Find point P on AB so that AP : PB = 3 : 1.

Answer key — Partitioning a segment in a ratio practice

Partitioning a segment in a ratio

1.(2, −4)

2.(−1, 10)

3.(4, 6)

4.(1, 0)

5.(−13, 10)

6.(14, 5)

7.(−5, 0)

8.(−5, 4)

9.(4, 12)

10.(−10, −4)

11.(−4, 4)

12.(0, −9)

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