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NY-8.G.2
8th GradeGeometry70 target questions

Understand that a two-dimensional figure is congruent to another if the second can be obtained from the first by a sequence of rotations reflections and translations.

Sample Practice Questions (3)

1
Quadrilateral ABCD is rotated clockwise about the origin to form quadrilateral A'B'C'D'. Which statement is true about the relationship between ABCD and A'B'C'D'?
-5 -4 -3 -2 -1 1 2 3 4 5 -5 -4 -3 -2 -1 1 2 3 4 5 x y ABCD A'B'C'D'
AQuadrilateral ABCD is congruent to quadrilateral A'B'C'D'.
BQuadrilateral ABCD is similar to, but not congruent to, quadrilateral A'B'C'D'.
CThe area of quadrilateral A'B'C'D' is greater than the area of quadrilateral ABCD.
DThe perimeter of quadrilateral A'B'C'D' is less than the perimeter of quadrilateral ABCD.
Multiple choice · diagramSee Answer + Explanation →
2
Which transformation maps triangle GHI to triangle G'H'I' on the coordinate plane?
-5 -4 -3 -2 -1 1 2 3 4 5 -5 -4 -3 -2 -1 1 2 3 4 5 x y G H I G' H' I'
AA reflection over the y-axis.
BA reflection over the x-axis.
CA rotation of counterclockwise about the origin.
DA translation 4 units to the left.
Multiple choice · diagramSee Answer + Explanation →
3
Rectangle ABCD has vertices A(1,1), B(4,1), C(4,3), and D(1,3). Rectangle A''B''C''D'' has vertices A''(-3,-2), B''(-3,-5), C''(-1,-5), and D''(-1,-2). Which sequence of transformations maps rectangle ABCD onto rectangle A''B''C''D''?
-5 -4 -3 -2 -1 1 2 3 4 5 -5 -4 -3 -2 -1 1 2 3 4 5 x y A B C D A'' B'' C'' D''
A clockwise rotation about the origin, then translation
B counter-clockwise rotation about the origin, then translation
CReflection over the x-axis, then translation
DReflection over the y-axis, then translation
Multiple choice · diagramSee Answer + Explanation →
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More 8th Grade Standards

NY-8.NS.1Know that numbers that are not rational are called irrational. Understand informally that every number has a decimal expansion; for rational numbers show that the decimal expansion repeats eventually and convert a decimal expansion which repeats into a rational number.→NY-8.NS.2Use rational approximations of irrational numbers to compare the size of irrational numbers. Locate them approximately on a number line diagram and estimate the value of expressions.→NY-8.EE.1Know and apply the properties of integer exponents to generate equivalent numerical expressions. For example 3² × 3⁻⁵ = 3⁻³ = 1/27.→NY-8.EE.2Use square root and cube root symbols to represent solutions to equations of the form x² = p and x³ = p where p is a positive rational number. Evaluate square roots of small perfect squares and cube roots of small perfect cubes.→
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