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Class 7 Mathematics Chapter 6 The Triangle And Its Properties Quiz 2 (60 MCQs)

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1. Which of the following examples with given side lengths would create a right triangle? Explain your reasoning. Triangle A = 10 inches, 13 inches, 17 inches Triangle B = 6 meters, 8 meters, 10 meters
2. Given the angle measures 45 and 55 degrees, what will be the measure of the third angle if the shape is a triangle?
3. Determine what type (if any) of a triangle would have the following side lengths:10, 18, 40
4. What does SAS stand for?
5. A triangle with 2 congruent sides and congruent base angles
6. A triangle has (a) sides and vertices.
7. A prism has ..... base(s).
8. Christy and Larry use a ruler and a protractor to draw triangles with given conditions. Christy is asked to construct a triangle with a 45 degree angle and a 65 degree angle. How many different triangles could she draw with these conditions?
9. A triangle whose angles measure 105$^{0}$, 45$^{0}$, and 30$^{0 }$can be classified as a(n)
10. An isosceles triangle can have an obtuse angle
11. Which one is right angled triangle
12. How many triangles exist with the given angle measures? 55$^\circ$, 45$^\circ$, 90$^\circ$
13. Which group of side lengths will NOT create a triangle?
14. What is the name of a quadrilateral with only one pair of parallel sides?
15. What triangle has all sides congruent?
16. How many triangles exist with the given side lengths? 4 m, 4 m, 7 m
17. True or False:If two triangles have two pairs of corresponding angles congruent, then the triangles are congruent.
18. Which quadrilateral is special because it has two pairs of parallel sides, all right angles, all equal sides, AND two pairs of equal adjacent sides?
19. Cassie likes her square sandwiches cut into two triangles. What type of triangle would each part of her sandwich be?
20. What would result from slicing a rectangular pyramid perpendicular to the base?
21. A octagon has (a) sides and vertices.
22. A segment that intersects a side of a triangle at the midpoint and at a 90 angle
23. What is the perimeter of a triangle with sides measuring 5 cm, 12 cm, and 13 cm?
24. The Pythagorean Theorem is .....
25. Find the value of y.
26. A triangle has side lengths of 19 centimetres, 19 centimetres, and 20 centimetres. What type of triangle is this?
27. Based on the given information determine the number of unique triangles that may exist.A= 37$^\circ$, a=8, b=14
28. Name a property of an isosceles triangle.
29. Imagine you're an adventurer, and you've just found a map leading to a treasure hidden deep within a mystical land. The map reveals that to unlock the treasure, you must align three magical mirrors at angles of 2, 3, and 8 degrees to reflect the sunlight onto the treasure's lock. Can you align such mirrors to unlock the treasure?
30. An octagon has ..... vertices.
31. Triangle ABC has two angles that measure 58$^\circ$ and 42$^\circ$. Which of the following triangles will besimilar to triangle ABC?
32. Which is the formula used for the Pythagorean Theorem?
33. What is a quadrilateral?
34. What is a regular shape?
35. Can angles measuring 78$^{o}$, 30$^{o}$, and 82$^{o}$ make a triangle?
36. If two triangles are similar, what can you say about the ratio of their corresponding sides?
37. Which set of side lengths form a right triangle?
38. Which measurements could not represent the side lengths of a right triangle?
39. Which two shapes always have all sides of the same length?
40. CHALLENGE:The sides of a triangle are x+4, 4-2x, and 4x+3. Using the triangle inequality, find the possible values of x.
41. Does a triangle with these side lengths exist?11, 28, 16
42. If the sides of a triangle are 3, 4, and 5, what is the area?
43. Which of the following information would NOT allow you to draw a unique triangle?
44. Sum of all interior angle triangle is 180$^\circ$
45. The base of a triangular prism is a
46. Which type of shape can have exactly 1 pair of parallel sides and no right angles?
47. If three sides of a right triangle are 9, 40, and 41, which side is the hypotenuse?
48. At the same time a 6 foot person casts a 2 foot shadow, a nearby flagpole casts a ten foot shadow. How tall is the flagpole?
49. You spend $ 40 on 5 pounds of concrete. What is the unit rate in dollars per pound?
50. The point at which three medians intersect in a triangle.
51. A 13 ft. ladder is leaning against the house. The top of the ladder touches the house at 10 feet above the ground. How far away is the bottom of the ladder from the house?
52. A right triangle can be equilateral
53. How many triangles can be created when you know two sides and one non-included angle?
54. Isosceles Triangle will have ..... line of symmetry.
55. Which statement is the MOST accurate about the converse of the Pythagorean Theorem?
56. Which side lengths will form a right triangle?
57. Ava is designing a square garden. Which of the following is true about the shape of her garden?
58. A triangle has angles that measure 70$^\circ$ and 30$^\circ$. What is the measure of the third angle?
59. A triangle with all angles less than 90 degrees
60. What is NOT true for congruent triangles?
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