Geometry Basics
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Question 1 of 20
1. Question
In isosceles triangle ABC, the measure of angle A is 96 degrees. What is the measure of angle B?
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Question 2 of 20
2. Question
The angle measures of a scalene triangle are x, 2x, and 2x + 15 degrees. What is the measure of the smallest angle?
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Question 3 of 20
3. Question
What is the interior angle measure of a regular 15-gon?
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Question 4 of 20
4. Question
In regular decagon ABCDEFGHIJ, what is the measure of angle ACB?
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Question 5 of 20
5. Question
Four angles in a quadrilateral form an arithmetic sequence whose common difference is 28. What is the measure of the largest angle?
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Question 6 of 20
6. Question
A regular polygon has interior angles measuring 179 degree and a side length of 2 cm. Find its perimeter.
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Question 7 of 20
7. Question
A polygon has 11 sides and 10 congruent 150 degree interior angles. What is the measure of its largest exterior angle?
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Question 8 of 20
8. Question
A star is a decagon with five acute interior angles. What is the greatest number of acute interior angles in any decagon?
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Question 9 of 20
9. Question
Parallelogram ABCD has side lengths 9 cm and 13 cm. Find the shortest integral length of diagonal AC.
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Question 10 of 20
10. Question
What is the maximum number of diagonals in a concave nonagon (9 sides) which can be drawn entirely outside of the interior of the polygon?
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Question 11 of 20
11. Question
How many scalene triangles of integral side length have a perimeter less than or equal to 12 units?
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Question 12 of 20
12. Question
In regular octagon ABCDEFGH, what is the measure of angle ACH?
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Question 13 of 20
13. Question
In parallelogram ABCD, diagonal AC is twice the length of diagonal BD. The perimeter of triangle ABC is 21 cm and the perimeter of triangle BCD is 17cm, what is the perimeter of parallelogram ABCD?
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Question 14 of 20
14. Question
The sides of a regular polygon are 2 cm long and the interior angles of the polygon measure 171 degrees. What is the perimeter of the polygon?
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Question 15 of 20
15. Question
The midpoints of quadrilateral ABCD are connected to form quadrilateral WXYZ. If diagonals AC = 10cm and BD = 8cm, what is the perimeter of quadrilateral WXYZ?
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Question 16 of 20
16. Question
What is the smallest angle which can be created by connecting three vertices of a regular 36-gon?
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Question 17 of 20
17. Question
How many regular polygons have interior angles of integral measure?
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Question 18 of 20
18. Question
In the section of regular polygon below, the measure of angle ACB is 5 degrees. What is the perimeter of the polygon?
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Question 19 of 20
19. Question
The midpoints of quadrilateral WXYZ are connected to form rhombus PORS. If the perimeter of PQRS = 18 cm, what is the length of diagonal WY?
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Question 20 of 20
20. Question
The long diagonal of a rhombus is 3 times the length of the short diagonal. The perimeter of the rhombus is 40 cm, what is its area?
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