✅ Midpoints & Partitions: Quick Check (G-GPE.B.6)

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Find the point on a segment that partitions it in a given ratio. Work on your own. Then check your answers.

1. Midpoint of (5, -4) and (13, 2)

2. Point 1/3 of the way from (-9, -4) to (15, 14)

3. Midpoint of (9, -8) and (1, -4)

4. Point 1/3 of the way from (6, -6) to (-18, 18)

5. Midpoint of (-3, 7) and (-5, -1)

6. Point 1/3 of the way from (7, 4) to (7, -2)

7. Midpoint of (9, -1) and (11, -1)

8. Point 1/3 of the way from (9, 2) to (9, -10)

9. Midpoint of (2, -1) and (-4, 7)

10. Point 1/3 of the way from (4, 3) to (4, 21)

Score: ____ / 10 I can find the point on a segment that partitions it in a given ratio: ☐ yes ☐ almost ☐ not yet

Answer key: 1) (9, -1) · 2) (-1, 2) · 3) (5, -6) · 4) (-2, 2) · 5) (-4, 3) · 6) (7, 2) · 7) (10, -1) · 8) (9, -2) · 9) (-1, 3) · 10) (4, 9)

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Worksheets › Grade 10 Math (Geometry) › Midpoints & Partitions › Midpoints & Partitions

Grade 10 (ages 15–16)Numbers & mathsFree printable PDF

About this grade 10 worksheet

Free Grade 10 Geometry math worksheet (Common Core G-GPE.B.6): midpoints & partitions — a ten-question quick check (quiz), with answer key. Skill: Find the point on a segment that partitions it in a given ratio. Level: Grade 10 — also suits Year 11 (UK).

For teachers: skills & standards

CCSS G-GPE.B.6: Find the point on a segment that partitions it in a given ratio
Works as a morning-work page, a centre/station activity, homework or an early-finisher task.

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It is designed for Grade 10 (ages 15–16), but use it with any child who is ready.

What skills does it build?

Find the point on a segment that partitions it in a given ratio.

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More “Midpoints & Partitions” printables (g-gpe.b.6: find the point on a segment that partitions it in a given ratio)

Midpoints & Partitions: Practice A (G-GPE.B.6) · Midpoints & Partitions: Practice B (G-GPE.B.6) · Midpoints & Partitions: Mixed Practice & Reasoning (G-GPE.B.6) · Midpoints & Partitions: Show Your Thinking (G-GPE.B.6)

All 5 midpoints & partitions sheets → · Grade 10 Math (Geometry): all 10 skills → · All Common Core grades

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