190k views
3 votes
Unit 6: Similar triangles homework 2: similar figures

User Rtenha
by
7.5k points

1 Answer

2 votes

The pairs of polygons below are similar. The scale factor of figure A to figure B is 4.

Given two polygons A and B such that A ≈ B

If the ratios of the corresponding sides and angles of two polygons are the same, then the polygons are comparable.

The scale factor is the variable that indicates how much the provided figure grows or reduces in size.

Suppose we have a equation y = kx then kis a scale factor.

Let figure A be LMNO and figure B be PQRS such that

OL = 2

LM-4

PQ = 8

QR = 16

In LMNO and PQRS

OL / PQ = 2 / 8

OL / PQ = 1 / 4

PQ = 4OL

and

LM / QR = 4 / 16

LM /QR = 1 / 4

QR = 4LM

Comparing these two equation with y = kx, k = 4 (where k is scale factor)

question:

Unit 6: Similar triangles homework 2: similar figures"

Directions: The pairs of polygons below are similar. Give the scale factor of figure A to figure B.

Unit 6: Similar triangles homework 2: similar figures-example-1
User Sgargan
by
7.4k points