## Engage NY Eureka Math 7th Grade Module 1 Lesson 16 Answer Key

### Eureka Math Grade 7 Module 1 Lesson 16 Opening Exercise Answer Key

Opening Exercise: Can You Guess the Image?

Question 1. This is a reduction of a subway map. Question 2.  ### Eureka Math Grade 7 Module 1 Lesson 16 Example Answer Key

Example 1.
For the following problems, (a) is the actual picture, and (b) is the scale drawing. Is the scale drawing an enlargement or a reduction of the actual picture?

Question 1.  Question 2.  SCALE DRAWING: A reduced or enlarged two-dimensional drawing of an original two-dimensional drawing.

Example 2.
Derek’s family took a day trip to a modern public garden. Derek looked at his map of the park that was a reduction of the map located at the garden entrance. The dots represent the placement of rare plants. The diagram below is the top-view as Derek held his map while looking at the posted map. What are the corresponding points of the scale drawings of the maps?
Point A to ___ Point V to ___ Point H to ___ Point Y to ___
Point A to Point R Point V to Point W Point H to Point P Point Y to Point N

### Eureka Math Grade 7 Module 1 Lesson 16 Exploratory Challenge Answer Key

Create scale drawings of your own modern nesting robots using the grids provided.  Example 3.
Celeste drew an outline of a building for a diagram she was making and then drew a second one mimicking her original drawing. State the coordinates of the vertices and fill in the table. Notes ### Eureka Math Grade 7 Module 1 Lesson 16 Exercise Answer Key

Exercise
Luca drew and cut out a small right triangle for a mosaic piece he was creating for art class. His mother liked the mosaic piece and asked if he could create a larger one for their living room. Luca made a second template for his triangle pieces.  a. Does a constant of proportionality exist? If so, what is it? If not, explain.
No, because the ratios of corresponding side lengths are not equal or proportional to each other.

b. Is Luca’s enlarged mosaic a scale drawing of the first image? Explain why or why not.
No, the enlarged mosaic image is not a scale drawing of the first image. We know this because the images do not have all side lengths proportional to each other; there is no constant of proportionality.

### Eureka Math Grade 7 Module 1 Lesson 16 Exit Ticket Answer Key

Use the following figure on the graph for Problems 1 and 2. Question 1.
a. If the original lengths are multiplied by 2, what are the new coordinates?
(0,0), (12,18), (12,0)

b. Use the table to organize lengths (the vertical and horizontal legs).  c. Is the new drawing a reduction or an enlargement?
Enlargement

d. What is the constant of proportionality?
2

Question 2.
a. If the original lengths are multiplied by $$\frac{1}{3}$$ , what are the new coordinates?
(0,0), (2,3), (2,0)

b. Use the table to organize lengths (the vertical and horizontal legs).  c. Is the new drawing a reduction or an enlargement?
Reduction

d. What is the constant of proportionality?
$$\frac{1}{3}$$

### Eureka Math Grade 7 Module 1 Lesson 16 Problem Set Answer Key

For Problems 1–3, identify if the scale drawing is a reduction or an enlargement of the actual picture.

Question 1. Enlargement Question 2.  Question 3.  Question 4.
Using the grid and the abstract picture of a face, answer the following questions: a. On the grid, where is the eye?
Intersection BG

b. What is located in DH?
Tip of the nose

c. In what part of the square BI is the chin located?  