Exercises
Challenge your understanding of advanced geometry concepts with this assessment covering polygons, circles, triangles, quadrilaterals, and spatial measurement. Answer questions about the interior-angle sum of a heptagon, circle area and centers, diameters, sphere volume, right-triangle terminology, and triangle classifications. You will also review the triangle midsegment theorem, properties of parallelograms, and shapes with parallel sides. Ideal for students who want to strengthen their Euclidean geometry skills and check their knowledge of essential definitions, formulas, and theorems.
Answer the questions below and check the explanation for each answer.
0/11 answered
Auto audio on: the next questions will be read aloud when you click Continue.
The sum of the internal angles of an n-sided polygon is calculated using the formula: (n-2) x 180. For a heptagon, n = 7, so the sum is 5 x 180 = 900 degrees.
The area of a circle is given by π x r² where r is the radius. With a diameter of 10, the radius is 5. Thus, the area is approximately π x 5² = 78.5 square units.
A diameter is a line segment passing through the center of the circle and touching two points on its boundary, dividing the circle into two equal halves.
An equiangular polygon has all angles equal, but sides may be of different lengths, distinguishing it from a regular polygon.
The hypotenuse is the longest side in a right-angled triangle and is opposite the right angle.
A trapezoid (or trapezium) is a quadrilateral with exactly one pair of parallel sides.
The volume of a sphere is calculated as (4/3)πr³. With a radius of 3, the volume is (4/3)π(3)³ = (4/3)π(27) = 36π cubic units.
The midsegment theorem states that the midsegment of a triangle is parallel to the third side and is half as long as that side.
A scalene triangle has all three sides of different lengths, with no two sides the same.
The center of a circle is the point equidistant from all points on the circle's circumference.
A key property of parallelograms is that opposite sides are equal in length and parallel.
Free CourseIntroduction to Geometry
5
(6)
6h04m
34 exercises
Free CourseGeometry Course
5
(1)
31h17m
46 exercises
Free CourseMath Fundamentals Integrals
5
(1)
1h57m
20 exercises
Free CourseGeometry
5
(21)
37h08m
36 exercises
Free CourseGeometry
4.9
(12)
15h25m
58 exercises
Free CourseGeometry course
New
1h49m
12 exercises
Free CourseGeometry complete course
New
4h39m
11 exercises
Free CourseGeometry Complete Course
New
56h26m
49 exercises
Thousands of online courses in video, ebooks and audiobooks.
To test your knowledge during online courses
Generated directly from your cell phone's photo gallery and sent to your email
Download our app via QR Code or the links below:.
Carry knowledge in your pocket.
Download the Cursa app.
There are hundreds of free courses available, with a free certificate of completion that is saved in your mobile image gallery.
Download the app to access the Course Completion Certificate for Free.
+ 10 million
students
Free and Valid
Certificate
60 thousand free
exercises
4.8/5 rating in
app stores
Free courses in
video and ebooks