Math II · G-SRT.1.a

Verify that dilations send non-center-passing lines to parallel lines and leave center-passing lines unchanged.

Verify that dilations send non-center-passing lines to parallel lines and leave center-passing lines unchanged.

Concept Geometry
Domain Similarity, Right Triangles, and Trigonometry
Problem Types

Problem Templates In This Objective

8 problem types are attached to this objective. The full web app handles practice, answers, hints, and walkthroughs.

Template 1

Find a line image under dilation, including the invariant case

4 variants
Template 2

Derive and verify a parallel image line under dilation

4 variants
Template 3

Dilate a line that passes through the center

4 variants
Template 4

Identify a dilation center from corresponding points

4 variants
Template 5

Decide whether one line can be a dilation image of another

4 variants
Template 6

Find the image equation of a line under dilation from the origin

4 variants
Template 7

Use dilation to reason about parallel relationships in a figure

4 variants
Template 8

Distinguish dilation effects on infinite lines and finite segments

4 variants