**Subject Area:**Mathematics

**Grade:**912

**Domain-Subdomain:**Geometry: Similarity, Right Triangles, & Trigonometry

**Cluster:**Level 2: Basic Application of Skills & Concepts

**Cluster:**Understand similarity in terms of similarity transformations. (Geometry - Major Cluster) -

Clusters should not be sorted from Major to Supporting and then taught in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.

**Date Adopted or Revised:**02/14

**Date of Last Rating:**02/14

**Status:**State Board Approved - Archived

**Assessed:**Yes

**Assessment Limits :**

Items may require the student to be familiar with using the algebraic

description for a translation, and

for a dilation when given the center of dilation.

Items may require the student to be familiar with the algebraic

description for a 90-degree rotation about the origin,

, for a 180-degree rotation about the origin,

, and for a 270-degree rotation about the origin,

. Items that use more than one transformation may

ask the student to write a series of algebraic descriptions.**Calculator :**Neutral

**Clarification :**

Students will use the definition of similarity in terms of similarity

transformations to decide if two figures are similar.Students will explain using the definition of similarity in terms of

similarity transformations that corresponding angles of two figures

are congruent and that corresponding sides of two figures are

proportional.**Stimulus Attributes :**

Items may be set in a real-world or mathematical context**Response Attributes :**

Items may ask the student to determine if given information is

sufficient to determine similarity.

**Test Item #:**Sample Item 1**Question:**Triangle RTV is shown on the graph.

Triangle R'T'V' is formed using the transformation (0.2x, 0.2y) centered at (0,0).

Select the three equations that show the correct relationship between the two triangles based on the transformation.

**Difficulty:**N/A**Type:**MS: Multiselect

## Related Courses

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## Related Resources

## Formative Assessments

## Lesson Plans

## Perspectives Video: Professional/Enthusiast

## Problem-Solving Tasks

## Text Resource

## Virtual Manipulative

## Worksheet

## MFAS Formative Assessments

Students are asked to use the definition of similarity in terms of similarity transformations to determine whether or not two quadrilaterals are similar.

Students are given the definition of similarity in terms of similarity transformations and are asked to explain how this definition ensures the equality of all corresponding pairs of angles and the proportionality of all corresponding pairs of sides.

Students are asked to use the definition of similarity in terms of similarity transformations to determine whether or not two triangles are similar.

## Student Resources

## Perspectives Video: Professional/Enthusiast

Don't be a shrinking violet. Learn how uniform scaling is important for candy production.

Type: Perspectives Video: Professional/Enthusiast

## Problem-Solving Task

In this problem, students are given a picture of two triangles that appear to be similar, but whose similarity cannot be proven without further information. Asking students to provide a sequence of similarity transformations that maps one triangle to the other, using the definition of similarity in terms of similarity transformations.

Type: Problem-Solving Task

## Parent Resources

## Perspectives Video: Professional/Enthusiast

Don't be a shrinking violet. Learn how uniform scaling is important for candy production.

Type: Perspectives Video: Professional/Enthusiast

## Problem-Solving Task

In this problem, students are given a picture of two triangles that appear to be similar, but whose similarity cannot be proven without further information. Asking students to provide a sequence of similarity transformations that maps one triangle to the other, using the definition of similarity in terms of similarity transformations.

Type: Problem-Solving Task