Worksheets: plane geometryhigh school

Quizzes in groups and practice sheets on “Plane geometry” - with an answer key, ready to print, free. You can combine this section with topics from other sections.

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Answer key · group A · for the teacher · sheet no. 204 517

Plane geometry

1.5 cm20 : (6 + 18) = 56 ;6 · 56 = 5

2.2√30 cm12 − 2 = 10 ;12 · 10 = 120 ;√120 = 2√30

3.A. inside the triangle

4.18π cm2 · 9 = 18

5.120 cm64 : 8 = 8 ;15 · 8 = 120

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Answer key

Quiz

Plane geometry

GroupAB

Name Date Score / 14

1.Find the length of the segment.In triangle ABC the bisector of angle ACB meets side AB at the point D. |AD| = 10 cm, |DB| = 12 cm, |AC| = 15 cm. How long is the side BC?(3 pt)

2.Find the length of the segment.CD is the altitude of the right triangle ABC with the right angle at C (the point D lies on the hypotenuse AB). |CD| = 7 cm, |AD| = 1 cm. How long is the segment BD?(3 pt)

3.Choose the special point of the triangle.The point where the perpendicular bisectors of the sides of a triangle meet is:(2 pt)

A.the orthocentre of the triangleB.the circumcentre of the triangleC.the incentre of the triangleD.the centroid of the triangle

4.Compute the area.A circle has diameter 144 cm.(1 pt)

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Group B

Quiz

Plane geometry

GroupAB

Name Date Score / 14

1.Find the length of the segment.In triangle ABC the bisector of angle ACB meets side AB at the point D. |AC| = 6 cm, |BC| = 18 cm, |AB| = 20 cm. How long is the segment AD?(3 pt)

2.Find the length of the segment.CD is the altitude of the right triangle ABC with the right angle at C (the point D lies on the hypotenuse AB). |AB| = 12 cm, |AD| = 2 cm. How long is the leg BC?(3 pt)

3.Choose where the point lies.Where does the centroid of a right triangle lie?(2 pt)

A.inside the triangleB.outside the triangleC.at the midpoint of the longest sideD.at the vertex of the largest angle

4.Compute the circumference.A circle has radius 9 cm.(1 pt)

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Group A

Sheet settings

Quiz6 questions2 groups1 topic

Sheet no.204 517The number is only shown here and on the answer key - never on the student sheet. The same number with the same topics gives the same sheet.

answer key at the endall groups

Quiz

Plane geometry

GroupAB

Name Date Score / 14

1.Find the length of the segment.In triangle ABC the bisector of angle ACB meets side AB at the point D. |AC| = 6 cm, |BC| = 18 cm, |AB| = 20 cm. How long is the segment AD?(3 pt)

3.Choose where the point lies.Where does the centroid of a right triangle lie?(2 pt)

A.inside the triangleB.outside the triangleC.at the midpoint of the longest sideD.at the vertex of the largest angle

4.Compute the circumference.A circle has radius 9 cm.(1 pt)

5.Compute the length.Two parallel lines cut the arms of an angle. On the first arm they cut off segments of 8 cm and 64 cm. On the second arm the segment corresponding to the first one is 15 cm. How long is the other one?(3 pt)

6.Find the area of the figure.Two similar figures have perimeters of 10 cm and 8 cm. The area of the first one is 75 cm². What is the area of the second one?(2 pt)

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Answer key · group A · for the teacher · sheet no. 204 517

Plane geometry

1.5 cm20 : (6 + 18) = 56 ;6 · 56 = 5

2.2√30 cm12 − 2 = 10 ;12 · 10 = 120 ;√120 = 2√30

3.A. inside the triangle

4.18π cm2 · 9 = 18

5.120 cm64 : 8 = 8 ;15 · 8 = 120

6.48 cm²8 : 10 = 45 ;75 · 45 · 45 = 48

The method lists the solution steps - handy when going through the sheet with the class.

Maths worksheets · phiboard.comsheet no. 999 999 · answer key, page 10 of 10

Quiz

Plane geometry

GroupAB

Name Date Score / 14

1.Find the length of the segment.In triangle ABC the bisector of angle ACB meets side AB at the point D. |AD| = 10 cm, |DB| = 12 cm, |AC| = 15 cm. How long is the side BC?(3 pt)

3.Choose the special point of the triangle.The point where the perpendicular bisectors of the sides of a triangle meet is:(2 pt)

A.the orthocentre of the triangleB.the circumcentre of the triangleC.the incentre of the triangleD.the centroid of the triangle

4.Compute the area.A circle has diameter 144 cm.(1 pt)

5.Compute the length.Two parallel lines cut the arms of an angle. On the first arm they cut off segments of 18 cm and 90 cm. On the second arm the segment corresponding to the first one is 5 cm. How long is the other one?(3 pt)

6.Find the perimeter of the figure.Two similar figures have areas of 16 cm² and 25 cm². The perimeter of the first one is 16 cm. What is the perimeter of the second one?(2 pt)

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Answer key · group B · for the teacher · sheet no. 204 517

Plane geometry

1.18 cm15 · 12 : 10 = 18

2.49 cm7² : 1 = 49

3.B. the circumcentre of the triangle

4.5184π cm²144 : 2 = 72 ;72 · 72 = 5184

5.25 cm90 : 18 = 5 ;5 · 5 = 25

6.20 cm25 : 16 = 2516 ;54 · 54 = 2516 ;16 · 54 = 20

The method lists the solution steps - handy when going through the sheet with the class.

Maths worksheets · phiboard.comsheet no. 999 999 · answer key, page 10 of 10

Worksheets from this section

Every topic has its own page with a printable sheet.

What the section covers in the curriculum: angles of an isosceles triangle, the Pythagorean theorem, similar triangles and the ratio of areas of similar figures, the intercept theorem, inscribed and central angles, tangents to a circle, the circumcircle of a right triangle, angles in quadrilaterals, regular polygons, areas of quadrilaterals, area and circumference of a circle, sectors, justifying steps of reasoning

TrianglesQuiz · practice sheet Similarity and ThalesQuiz · practice sheet CirclesQuiz · practice sheet Quadrilaterals and regular polygonsQuiz · practice sheet Areas of figuresQuiz · practice sheet Justifying steps in geometryQuiz · practice sheet

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