InkLoop/NYS Standards/NY-8.G.4NY-8.G.4
8th GradeGeometry60 target questions
Understand that a two-dimensional figure is similar to another if the second can be obtained from the first by a sequence of rotations reflections translations and dilations.
Sample Practice Questions (3)
1
Figure A is a triangle with vertices at (0,0), (2,0), and (0,2). Figure B is a triangle with vertices at (0,0), (4,0), and (0,4). Which statement accurately describes the relationship between Figure A and Figure B?
AFigure A and Figure B are congruent.
BFigure A and Figure B are similar but not congruent.
CFigure A and Figure B are neither congruent nor similar.
DFigure A and Figure B are both congruent and similar.
Multiple choice · diagramSee Answer + Explanation →
2
Triangle ABC has vertices A(1,1), B(3,1), and C(1,3). Triangle A''B''C'' has vertices A''(-1,-3), B''(-3,-3), and C''(-1,-1). Which sequence of transformations maps triangle ABC onto triangle A''B''C''?
AA reflection over the y-axis followed by a translation of
BA reflection over the x-axis followed by a translation of
CA rotation of counterclockwise about the origin followed by a translation of
DA dilation by a scale factor of 1 followed by a translation of
Multiple choice · diagramSee Answer + Explanation →
3
Rectangle ABCD has vertices A(1,1), B(3,1), C(3,2), and D(1,2). It is dilated to form rectangle A'B'C'D' with vertices A'(1,1), B'(5,1), C'(5,3), and D'(1,3). What is the scale factor of the dilation?
A
B2
C3
D4
Multiple choice · diagramSee Answer + Explanation →
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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.→