Properties of Shapes: Triangle, Quadrilateral, Pentagon, Hexagon
Grade 5 Math Worksheets
A closed figure made by joining 3 non-collinear points bounded by three segments is called a triangle. Triangles are classified on the basis of their sides and angles.
On the basis of sides
- Equilateral triangle: A triangle having all the sides of equal length.
- Isosceles triangle: A triangle whose two sides are equal to each other and third is unequal.
- Scalene triangle: A triangle whose all three sides are unequal to each other.
On the basis of Angles
- Acute Angled Triangle: A triangle whose all 3 angles measure less than 90°.
- Obtuse Angled Triangle: A triangle whose one angle measures greater than 90° but less than 180° . However, the other two angles measure less than 90° .
- Right Angled Triangle: A triangle whose one angle measures exactly 90° . However, the other two angles measure less than 90° .
- Equiangular Triangle: A triangle whose all 3 angles are equal to each other i.e. they measure 60°
A closed figure bounded by 4 line segments is called a quadrilateral. It has 4 sides, 4 vertices, and 4 angles. The 2 sides meeting at a common vertex is called adjacent sides while the other 2 sides having uncommon vertices are called non-adjacent sides. The line segments joining any two non- adjacent vertices are called diagonals.
Types of Quadrilaterals
- Rectangle: A quadrilateral whose opposite sides are equal and each angle is a right angle.
- Square: A quadrilateral whose all sides are equal and each angle is a right angle.
- Parallelogram: A quadrilateral whose opposite sides are equal and parallel.
- Rhombus: A quadrilateral whose all sides are equal.
- Trapezoid: A quadrilateral whose one pair of the opposite side is parallel.
A polygon made up of 5 line segments is called a pentagon. If all the sides and angles of the given pentagon are equal, then it is called a regular pentagon.
A polygon made up of 6 line segments is called a hexagon. If all the sides and angles of the given hexagon are equal, then it is called a regular hexagon.
Example: State which of these figures are triangles and which are quadrilaterals:
Figure a,d represent triangles as they are made up of 3 line segments.
Figure b,c represent quadrilaterals as they are made up of 4 line segments.
Example: Classify the triangles on the basis of sides or angles:
Figure ‘a’ is a scalene triangle as all 3 sides are unequal.
Figure ‘b’ is an equilateral triangle as all 3 sides are equal to each other.
Figure ‘c’ is an obtuse-angled triangle as one angle measures greater than 90° .
Figure‘d’ is a right-angled triangle as one angle measures exactly 90° .
Example: Classify the polygons:
Figure ‘a’ is a parallelogram as its opposite sides are parallel.
Figure ‘b’ is a trapezoid as one pair of the opposite side is parallel.
Figure ‘c’ is a pentagon as it is made up of 5 line segments.
Figure ‘d’ is a quadrilateral as it is made up of 4 line segments.
- How many right angles can a triangle have?
- Is it possible for a triangle to have 2 obtuse angles?
- Identify the quadrilateral having only one pair of opposite sides parallel.
- How many sides does a pentagon have?
- Is the given figure a quadrilateral?
- A right triangle can have only one right angle.
- No, an obtuse angle can have only one obtuse angle.
- No, the given figure is open.
Learn more about Properties of Shapes (Triangle, Quadrilateral, Pentagon, Hexagon) and other important topics with 5th Grade Math Tutoring at eTutorWorld. Our expert science tutors break down the topics through interactive one-to-one sessions. We also offer the advantage of customized lesson plans, flexible schedules, and the convenience of learning from home.
Personalized Online Tutoring
eTutorWorld offers affordable one-on-one live tutoring over the web for Grades K-12, Test Prep help for Standardized tests like SCAT, CogAT, MAP, SSAT, SAT, ACT, ISEE and AP. You may schedule online tutoring lessons at your personal scheduled times, all with a Money-Back Guarantee. The first one-on-one online tutoring lesson is always FREE, no purchase obligation, no credit card required.
For answers/solutions to any question or to learn concepts, take a FREE TRIAL Session.
No credit card required, no obligation to purchase.
Just schedule a FREE Sessions to meet a tutor and get help on any topic you want!
Pricing for Online Tutoring
|Tutoring Package||Validity||Grade (1-12), College|
|5 sessions||1 Month||$129|
|1 session||1 Month||$26|
|10 sessions||3 months||$249|
|15 sessions||3 months||$369|
|20 sessions||4 months||$469|
|50 sessions||6 months||$1099|
|100 sessions||12 months||$2099|