TJ Prep Problems

TJ Prep practice problems for our students and readers. The problems provide a very small sampling of what Optimal TJ Prep students work with.

A Geometry Problem for TJ/SHSAT/ACT Prep. (Medium). Target Time. 15-20 seconds for each part.

May 13, 2016

The figure below shows three triangles ABC, BPA and BPC with sides and angles as marked.

1. What is the ratio of BP:AC?

2. What is the ratio of the area of BPC to the area of BPA?

3. What is the perimeter of BPC?

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