Problem preview

G-SRT.4 Warmup M2-049-A10-V02

Prove triangle-similarity theorems, including proportional segments and the Pythagorean Theorem via similarity.

Complete a triangle-similarity theorem proof

Problem

Complete the angle-bisector proof after the required similar triangles have been established. Match segment \(BD\) with adjacent side \(AB\) and segment \(DC\) with adjacent side \(AC\), then state the resulting proportion in consistent order.

Answer choices

Choose your path.

Preview only

Using the corresponding sides from the established similar triangles, the proof concludes that BD/DC = AB/AC.

Using the similar triangles, the proof should write AD/AB = AD/AC, since AD is the common side in both triangles.

Using the corresponding sides from the similar triangles, the proof concludes that BD/DC = AC/AB.

Using the similar triangles, the proof should now find a geometric-mean relationship such as AD² = BD·DC to finish the argument.

The choices are visible. Checking your work and seeing which answer is correct happen inside Gozunta.

Inside Gozunta

More than a preview

Create targeted learning sessions, use hints, check your answer, read the walkthrough, watch the video, print the work, and track your progress.

Discover Gozunta Try it now

Curriculum context

Course: Math II
Standard: G-SRT.4
Category: Geometry
Domain: Similarity, Right Triangles, and Trigonometry
Objective: Prove triangle-similarity theorems, including proportional segments and the Pythagorean Theorem via similarity.
Problem type: Complete a triangle-similarity theorem proof