NY-G.SRT.2

GeometrySimilarity Right Triangles and Trigonometry60 target questions

Given two figures use the definition of similarity in terms of similarity transformations to decide if they are similar; explain using the definition of similarity transformations the meaning of similarity for triangles as the equality of all corresponding pairs of angles and the proportionality of all corresponding pairs of sides.

Sample Practice Questions (3)

A rectangle has a length of 10 units and a width of 5 units. If the rectangle is dilated by a scale factor of 3, what is the area of the new rectangle?

A50 square units

B150 square units

C450 square units

D900 square units

Multiple choice · diagramSee Answer + Explanation →

Triangles ABC and DEF are similar. If AB = 6, BC = 8, AC = 10, and DE = 9, what is the length of EF?

A10

B12

C13.5

D15

Multiple choice · diagramSee Answer + Explanation →

Triangle

A B C

has coordinates

A (0, 2)

B (4, 2)

, and

C (0, 5)

. Triangle

A^{'} B^{'} C^{'}

has coordinates

A^{'} (0, 4)

B^{'} (8, 4)

, and

C^{'} (0, 10)

. Which statement best explains why

△ A B C

is similar to

△ A^{'} B^{'} C^{'}

AThere is a dilation with a scale factor of

2

centered at the origin that maps

△ A B C

onto

△ A^{'} B^{'} C^{'}

BThere is a translation of

2

units up and

4

units right that maps

△ A B C

onto

△ A^{'} B^{'} C^{'}

CThere is a dilation with a scale factor of

\frac{1}{2}

centered at the origin that maps

△ A B C

onto

△ A^{'} B^{'} C^{'}

DThe triangles are similar because they are both right triangles and all right triangles are similar.

Multiple choice · diagramSee Answer + Explanation →

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More Geometry Standards

NY-G.CO.1Know precise definitions of angle circle perpendicular line parallel line and line segment based on the undefined notions of point line distance along a line and distance around a circular arc.→NY-G.CO.2Represent transformations in the plane; describe transformations as functions that take points in the plane as inputs and give other points as outputs. Compare transformations that preserve distance and angle to those that do not.→NY-G.CO.3Given a rectangle parallelogram trapezoid or regular polygon describe the rotations and reflections that carry it onto itself.→NY-G.CO.4Develop definitions of rotations reflections and translations in terms of angles circles perpendicular lines parallel lines and line segments.→

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