{"id":70778,"date":"2022-06-17T19:31:50","date_gmt":"2022-06-17T14:01:50","guid":{"rendered":"https:\/\/ccssanswers.com\/?p=70778"},"modified":"2022-05-10T12:58:59","modified_gmt":"2022-05-10T07:28:59","slug":"eureka-math-grade-7-module-6-lesson-7","status":"publish","type":"post","link":"https:\/\/ccssanswers.com\/eureka-math-grade-7-module-6-lesson-7\/","title":{"rendered":"Eureka Math Grade 7 Module 6 Lesson 7 Answer Key"},"content":{"rendered":"

Engage NY Eureka Math 7th Grade Module 6 Lesson 7 Answer Key<\/h2>\n

Eureka Math Grade 7 Module 6 Lesson 7 Example Answer Key<\/h3>\n

Example 1.
\nUse what you know about drawing parallel lines with a setsquare to draw rectangle ABCD with dimensions of your choice. State the steps you used to draw your rectangle, and compare those steps to those of a partner.
\nAnswer:
\nPossible steps: Draw \\(\\overline{A B}\\) first. Align the setsquare so that one leg aligns with \\(\\overline{A B}\\), and place the ruler against the other leg of the setsquare; mark a point X, ___ cm away from \\(\\overline{A B}\\). Draw a line parallel to \\(\\overline{A B}\\) through X. Realign the setsquare with \\(\\overline{A B}\\) situate the ruler so that it passes through A, and draw a segment with a length of ___ cm. Mark the intersection of the line through A and the parallel line to \\(\\overline{A B}\\) as D. \\(\\overline{A D}\\) is now drawn perpendicular to \\(\\overline{A B}\\). Repeat the steps to determine C.<\/p>\n

Example 2.
\nUse what you know about drawing parallel lines with a setsquare to draw rectangle ABCD with AB = 3 cm and BC = 5 cm. Write a plan for the steps you will take to draw ABCD.
\n\"Engage
\nAnswer:
\nDraw \\(\\overline{A D}\\) first. Align the setsquare so that one leg aligns with \\(\\overline{A D}\\), and place the ruler against the other leg of the setsquare; mark a point X 5 cm away from \\(\\overline{A D}\\). Slide the setsquare along the ruler until it aligns with X. Draw a line parallel to \\(\\overline{A D}\\) through X. To create the right angle at A, align the setsquare so that the leg of the setsquare aligns with \\(\\overline{A D}\\), situate the ruler so that the outer edge of the ruler passes through A, and draw a line through A. Mark the intersection of the line through A and the parallel line to \\(\\overline{A D}\\) as D. Repeat the steps to determine C.<\/p>\n

Example 3.
\nUse a setsquare, ruler, and protractor to draw parallelogram PQRS so that the measurement of \u2220P is 50\u00b0, PQ = 5 cm, the measurement of \u2220Q is 130\u00b0, and the length of the altitude to \\(\\overline{P Q}\\) is 4 cm.
\nAnswer:
\nSteps to draw the figure: Draw \\(\\overline{P Q}\\) first. Align the setsquare and ruler so one leg of the setsquare aligns with \\(\\overline{P Q}\\), and mark a point X 4 cm from \\(\\overline{P Q}\\). Slide the setsquare along the ruler so that one side of the setsquare passes through X, and draw a line through X; this line is parallel to \\(\\overline{P Q}\\). Using \\(\\overline{P Q}\\) as one ray of \u2220P, draw \u2220P so that the measurement of \u2220P is 50\u00b0 and that the ray PS intersects with the line parallel to \\(\\overline{P Q}\\) (the intersection is S). Draw \u2220Q so that the measurement of \u2220Q is 130\u00b0; the ray QR should be drawn to intersect with the line parallel to \\(\\overline{P Q}\\)(the intersection is R).
\n\"Engage<\/p>\n

Example 4.
\nUse a setsquare, ruler, and protractor to draw rhombus ABCD so that the measurement of \u2220A = 80\u00b0, the measurement of \u2220B = 100\u00b0, and each side of the rhombus measures 5 cm.
\nAnswer:
\nSteps to draw the figure: Draw \\(\\overline{A B}\\) first. Using \\(\\overline{A B}\\) as one ray of \u2220A, draw \u2220A so that the measurement of \u2220A is 80\u00b0. The other ray, or the to-be side of the rhombus, AD, should be 5 cm in length; label the endpoint of the segment as D. Align the setsquare and ruler so one leg of the setsquare aligns with \\(\\overline{A B}\\) and the edge of the ruler passes through D. Slide the setsquare along the ruler so that the edge of the setsquare passes through D, and draw a line along the edge of the setsquare. This line is parallel to \\(\\overline{A B}\\).<\/p>\n

Now align the setsquare and ruler so one leg of the setsquare aligns with \\(\\overline{A D}\\) and the edge of the ruler passes through B. Slide the setsquare along the ruler so that the edge of the setsquare passes through B, and draw a line along the edge of the setsquare. This line is parallel to \\(\\overline{A D}\\). Along this line, measure a segment 5 cm with B as one endpoint, and label the other endpoint C. Join C to D.
\n\"Engage<\/p>\n

Eureka Math Grade 7 Module 6 Lesson 7 Exercise Answer Key<\/h3>\n

Exercise 1.
\nUse a setsquare, ruler, and protractor to draw parallelogram DEFG so that the measurement of \u2220D is 40\u00b0, DE = 3 cm, the measurement of \u2220E is 140\u00b0, and the length of the altitude to \\(\\overline{D E}\\) is 5 cm.
\nAnswer:
\nSteps to draw the figure: Draw \\(\\overline{D E}\\) first. Align the setsquare and ruler so one leg of the setsquare aligns with \\(\\overline{D E}\\) , and mark a point X 5 cm from \\(\\overline{D E}\\) . Slide the setsquare along the ruler so that one side of the setsquare passes through X, and draw a line through X; this line is parallel to \\(\\overline{D E}\\). Using \\(\\overline{D E}\\) as one ray of \u2220D, draw \u2220D so that the measurement of \u2220D is 40\u00b0 and that the ray DG intersects with the line parallel to \\(\\overline{D E}\\) (the intersection is G). Draw \u2220E so that the measurement of \u2220E is 140\u00b0; the ray EF should be drawn to intersect with the line parallel to \\(\\overline{D E}\\) (the intersection is F).
\n\"Engage<\/p>\n

Eureka Math Grade 7 Module 6 Lesson 7 Problem Set Answer Key<\/h3>\n

Question 1.
\nDraw rectangle ABCD with AB = 5 cm and BC = 7 cm.
\nAnswer:
\nSteps to draw the figure: Draw \\(\\overline{A B}\\) first. Align the setsquare so that one leg aligns with \\(\\overline{A B}\\), and place the ruler against the other leg of the setsquare; mark a point X 7 cm away from \\(\\overline{A B}\\). Draw a line parallel to \\(\\overline{A B}\\) through X. To create the right angle at A, align the setsquare so that its leg aligns with \\(\\overline{A B}\\), situate the ruler so that the outer edge of the ruler passes through A, and draw a line through A. Mark the intersection of the line through A and the parallel line to \\(\\overline{A B}\\) as D. Repeat the steps to determine C.<\/p>\n

Question 2.
\nUse a setsquare, ruler, and protractor to draw parallelogram PQRS so that the measurement of \u2220P is 65\u00b0, PQ = 8 cm, the measurement of \u2220Q is 115\u00b0, and the length of the altitude to \\(\\overline{P Q}\\) is 3 cm.
\nAnswer:
\nSteps to draw the figure: Draw \\(\\overline{P Q}\\) first. Align the setsquare and ruler so one leg of the setsquare aligns with \\(\\overline{P Q}\\), and mark a point X 3 cm from \\(\\overline{P Q}\\). Slide the setsquare along the ruler so that one side of the setsquare passes through X, and draw a line through X; this line is parallel to \\(\\overline{P Q}\\). Using \\(\\overline{P Q}\\) as one ray of \u2220P, draw \u2220P so that the measurement of \u2220P is 65\u00b0 and that the ray PS intersects with the line parallel to \\(\\overline{P Q}\\) (the intersection is S). Draw \u2220Q so that the measurement of \u2220Q is 115\u00b0; the ray QR should be drawn to intersect with the line parallel to \\(\\overline{P Q}\\) (the intersection is R).<\/p>\n

Question 3.
\nUse a setsquare, ruler, and protractor to draw rhombus ABCD so that the measurement of \u2220A is 60\u00b0, and each side of the rhombus measures 5 cm.
\nAnswer:
\nSteps to draw the figure: Draw \\(\\overline{A B}\\) first. Using \\(\\overline{A B}\\) as one ray of \u2220A, draw \u2220A so that the measurement of
\n\u2220A is 60\u00b0. The other ray, or to-be side of the rhombus, AD, should be 5 cm in length; label the endpoint of the segment as D. Align the setsquare and ruler so one leg of the setsquare aligns with \\(\\overline{A B}\\) and the edge of the ruler passes through D. Slide the setsquare along the ruler so that the edge of the setsquare passes through D, and draw a line along the edge of the setsquare.<\/p>\n

This line is parallel to\\(\\overline{A B}\\). Now, align the setsquare and ruler so one leg of the setsquare aligns with \\(\\overline{A D}\\) and the edge of the ruler passes through B. Slide the setsquare along the ruler so that the edge of the setsquare passes through B, and draw a line along the edge of the setsquare. This line is parallel to \\(\\overline{A D}\\). Along this line, measure a segment 5 cm with B as one endpoint, and label the other endpoint C. Join C to D.<\/p>\n

The following table contains partial information for parallelogram ABCD. Using no tools, make a sketch of the parallelogram. Then, use a ruler, protractor, and setsquare to draw an accurate picture. Finally, complete the table with the unknown lengths.
\nTwo of the sketches are provided.
\n\"Eureka<\/p>\n

The following table contains partial information for parallelogram ABCD. Using no tools, make a sketch of the parallelogram. Then, use a ruler, protractor, and setsquare to draw an accurate picture. Finally, complete the table with the unknown lengths.
\n\"Eureka
\nAnswer:
\n\"Eureka<\/p>\n

Question 7.
\nUse what you know about drawing parallel lines with a setsquare to draw trapezoid ABCD with parallel sides \\(\\overline{A B}\\) and \\(\\overline{C D}\\). The length of \\(\\overline{A B}\\) is 3 cm, and the length of \\(\\overline{C D}\\) is 5 cm; the height between the parallel sides is 4 cm. Write a plan for the steps you will take to draw ABCD.
\nAnswer:
\nDraw \\(\\overline{A B}\\) (or \\(\\overline{C D}\\)) first. Align the setsquare and ruler so that one leg of the
\nsetsquare aligns with \\(\\overline{A B}\\); mark a point X 4 cm away from \\(\\overline{A B}\\). Draw a line parallel to \\(\\overline{A B}\\) through X. Once a line parallel to \\(\\overline{A B}\\) has been drawn through X, measure a portion of the line to be 3 cm, and label the endpoint on the right as C and the other endpoint D. Join D to A and C to B.
\n\"Eureka<\/p>\n

Question 8.
\nUse the appropriate tools to draw rectangle FIND with FI = 5 cm and IN = 10 cm.
\nAnswer:
\nDraw \\(\\overline{F I}\\) first. Align the setsquare so that one leg aligns with \\(\\overline{F I}\\), and place the ruler against the other leg of the
\nsetsquare; mark a point X 10 cm away from \\(\\overline{F I}\\). Draw a line parallel to \\(\\overline{F I}\\) through X. To create the right angle at F, align the setsquare so that its leg aligns with \\(\\overline{F I}\\), and situate the ruler so that its outer edge passes through F, and then draw a line through F. Mark the intersection of the line through F and the parallel line to \\(\\overline{F I}\\) as D. Repeat the steps to determine N.<\/p>\n

Question 9.
\nChallenge: Determine the area of the largest rectangle that will fit inside an equilateral triangle with side length 5 cm.
\nAnswer:
\nStudents will quickly discover that rectangles of different dimensions can be drawn; finding the largest rectangle may take multiple efforts. The maximum possible area is 5.4 cm2<\/sup>.<\/p>\n

Eureka Math Grade 7 Module 6 Lesson 7 Exit Ticket Answer Key<\/h3>\n

Use what you know about drawing parallel lines with a setsquare to draw square ABCD with AB = 5 cm. Explain how you created your drawing.
\nAnswer:
\nDraw \\(\\overline{A B}\\)(any side will do here) first. Align the setsquare and ruler so that one leg of the setsquare aligns with \\(\\overline{A B}\\); mark a point X 5 cm away from \\(\\overline{A B}\\). Draw a line parallel to \\(\\overline{A B}\\) through X. To create the right angle at A, align the setsquare so that the leg of the setsquare aligns with \\(\\overline{A B}\\), situate the ruler so that the outer edge of the ruler passes through A, and draw a line through A. Mark the intersection of the line through A and the parallel line to \\(\\overline{A B}\\) as D; join A and D. Repeat the steps to determine C, and join B and C.
\n\"Eureka<\/p>\n","protected":false},"excerpt":{"rendered":"

Engage NY Eureka Math 7th Grade Module 6 Lesson 7 Answer Key Eureka Math Grade 7 Module 6 Lesson 7 Example Answer Key Example 1. Use what you know about drawing parallel lines with a setsquare to draw rectangle ABCD with dimensions of your choice. State the steps you used to draw your rectangle, and … Read more<\/a><\/p>\n","protected":false},"author":3,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[6],"tags":[],"jetpack_sharing_enabled":true,"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts\/70778"}],"collection":[{"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/comments?post=70778"}],"version-history":[{"count":1,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts\/70778\/revisions"}],"predecessor-version":[{"id":137961,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts\/70778\/revisions\/137961"}],"wp:attachment":[{"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/media?parent=70778"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/categories?post=70778"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/tags?post=70778"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}