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Geometry Questions & Answers For 8th Grade Students Geometry questions and answers suitable for 8th Grade students. The questions are Common Core aligned and follow the framework as set out. Available to see visually online. To utilise the PDF version please click the ‘Download PDF’ option.
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Which statement is true about the properties of translations, rotations, and reflections in geometry?
a) Translations can change the length of a line segment. b) Rotations always change the measure of an angle. c) Reflections do not preserve parallel lines. d) Translations take lines to lines of the same length.
Correct Answers : d)
Which congruence criterion is exemplified in the scenario below? a) Side-Side-Side (SSS) b) Side-Angle-Side (SAS) c) Angle-Side-Angle (ASA) d) Hypotenuse-Leg (HL)
Correct Answers : c)
Which transformation is described by the following rule when applied to a point (x, y) in the coordinate plane: (x, y) → (-x, y)?
a) Reflection b) Translation c) Rotation d) Dilation
Correct Answers : a)
Triangles ABC and EFG are similar triangles. Given the measurements of Triangle ABC, what is the value of 'x' for Triangle EFG, where 'x' represents the length of the legs of Triangle EFG?" a) x = 5.33 units b) x = 8 units c) x = 10.67 units d) x = 16 units
Correct Answers : c)
Based on the illustration, what are the values of angles x and y? a) ∠x = 55°, ∠y = 125° b) ∠x = 125°, ∠y = 55° c) ∠x = 35°, ∠y = 55° d) ∠x = 55°, ∠y = 35°
Correct Answers : b)
If in a triangle, the square of the length of the longest side is equal to the sum of the squares of the other two sides, what can you conclude about the triangle?
a) The triangle is an isosceles triangle. b) The triangle is an equilateral triangle. c) The triangle is a right triangle. d) The triangle is an obtuse triangle.
Correct Answers : c)
A ladder is leaning against a wall. The ladder is 15 feet long and forms a right angle with the ground. If the bottom of the ladder is 9 feet away from the base of the wall, how high up the wall does the ladder reach?
a) 6 feet b) 9 feet c) 12 feet d) 18 feet
Correct Answers : c)
You have a rectangular garden that measures 6 feet in length and 8 feet in width. You want to install a diagonal fence from one corner of the garden to the opposite corner. How long does the fence need to be?
a) 10 feet b) 14 feet c) 48 feet d) 100 feet
Correct Answers : a)
You are hiking on a trail with coordinates marked on a map. You start at point A and want to reach point B. The trail involves both horizontal and vertical travel. What is the approximate distance you will have hiked in miles from point A to point B based on the coordinates provided in the illustration? a) 2 miles b) 3 miles c) 4 miles d) 5 miles
Correct Answers : d)
A cylindrical tank has a height of 10 feet and a radius of 4 feet. What is the approximate volume of the tank in cubic feet? (π = 3.14)
a) 80.86 cubic feet b) 125.66 cubic feet c) 502.40 cubic feet d) 1005.31 cubic feet
Correct Answers : c)