Topics
11. Modeling in Two & Three Dimensions
topic badge
United States of AmericaFL
Grade 912

11.07 Effects of changing dimensions

Lesson
Practice
Adaptive
Worksheet

Interactive practice questions

Consider the two given triangles.

Two triangles displayed on a grid. The smaller triangle on the left has vertices labeled A, B, and C, with vertex C serving as the apex of triangle ABC, and vertices A and B located on the base. Vertex A is 4 units to the left of vertex B. Vertex C is 3 units above the base AB. The larger triangle on the right has vertices labeled D, E, and F, with vertex F as the apex of triangle DEF, and vertices D and E positioned on the base. Vertex D is 8 units to the left of vertex E. Vertex F is 6 units above base DE Triangle DEF is an enlarged version of triangle ABC.
a

What scale factor is used to enlarge the small triangle?

b

What scale factor is used to reduce the large triangle?

c

What is the area of the small triangle?

d

What is the area of the large triangle?

e

What is the enlargement factor for the area of the small triangle?

Easy
2min

Consider the two similar rectangles shown in the figure.

Easy
2min

Consider two similar ceilings: the first with dimensions $5$5 m by $4$4 m, and the second with dimensions $20$20 m by $16$16 m.

Easy
1min

The corresponding sides of two similar triangles are $8$8 cm and $40$40 cm. If the area of the smaller triangle is $24$24 cm2. Find $A$A the area of the larger triangle.

Easy
1min
Sign up to access Practice Questions
Get full access to our content with a Mathspace account
Book a Demo
Sign up for free

Outcomes

MA.912.GR.1.6

Solve mathematical and real-world problems involving congruence or similarity in two-dimensional figures.

MA.912.GR.4.3

Extend previous understanding of scale drawings and scale factors to determine how dilations affect the area of two-dimensional figures and the surface area or volume of three-dimensional figures.

MA.912.GR.4.4

Solve mathematical and real-world problems involving the area of two-dimensional figures.

What is Mathspace

About Mathspace