Dilating Lines and Angles

Angle \(ABC\) is taken by a dilation with center \(P\) and scale factor 3 to angle \(A’B’C’\) . The measure of angle \(ABC\) is \(21^\circ\) . What is the measure of angle \(A’B’C’\) ?

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Select all lines that could be the image of line \(m\) by a dilation.

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Dilate line \(f\) with a scale factor of 2. The image is line \(g\) . Which labeled point could be the center of this dilation?

Description: <p>Line f with point C to the right of the center. Line g above line f with point B to the right of the center. Point A is above line g and to the left of point B. Point D is below line f and to the left of point C.</p>

Quadrilateral \(A’B’C’E’\) is the image of quadrilateral \(ABCE\) after a dilation centered at \(F\) . What is the scale factor of this dilation?

Description: <p>Quadrilaterals A B C E and A prime B prime C prime E prime. Side lengths as follows: A B, 3. B C 6, C E, 5. E A, unlabeled. A prime B prime, 1 point 5. B prime C prime, 3. C prime E prime, 2 point 5. E prime A prime, unlabeled.<br>  </p>

A polygon has a perimeter of 18 units. It is dilated with a scale factor of \(\frac32\) . What is the perimeter of its image?

Solve the equation. 

\(\frac{4}{7}=\frac{10}{x}\)

Here are some measurements for triangle  \(ABC \)  and triangle  \(XYZ\) :

  • Angle  \(CAB\)  and angle  \(ZXY\)  are both 30 degrees
  • \(AC\) and \(XZ\) both measure 3 units
  • \(CB\) and \(ZY\) both measure 2 units

Andre thinks thinks these triangles must be congruent. Clare says she knows they might not be congruent. Construct 2 triangles with the given measurements that aren't congruent. Explain why triangles with 3 congruent parts aren't necessarily congruent.

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Eureka Math Grade 3 Module 4 Lesson 10 Answer Key

Engage ny eureka math 3rd grade module 4 lesson 10 answer key, eureka math grade 3 module 4 lesson 10 problem set answer key.

Eureka Math Grade 3 Module 4 Lesson 10 Problem Set Answer Key 1

Answer: The area of the larger rectangle = 56 sq unit. the area of the small rectangle A = 35 sq unit. the area of the small rectangle B = 21 sq unit.

Explanation: In the above-given question, given that, the area of the larger rectangle = 56 sq unit. area = length x breadth. area = l x b. area = 8 x 7. area = 56. the area of the rectangle A = 35 sq unit. area = length x breadth. area = l x b. area = 5 x 7. area = 35. the area of the rectangle B = 21 sq unit. area = length x breadth. area = l x b. area = 3 x 7. area = 21.

Eureka Math Grade 3 Module 4 Lesson 10 Problem Set Answer Key 2

Answer: The area of the larger rectangle = 48 sq unit. the area of the small rectangle A = 40 sq unit. the area of the small rectangle B = 8 sq unit.

Explanation: In the above-given question, given that, the area of the larger rectangle = 48 sq unit. area = length x breadth. area = l x b. area = 12 x 4. area = 48. the area of the rectangle A = 40 sq unit. area = length x breadth. area = l x b. area = 10 x 4. area = 40. the area of the rectangle B = 8 sq unit. area = length x breadth. area = l x b. area = 2 x 4. area = 8.

Eureka Math Grade 3 Module 4 Lesson 10 Problem Set Answer Key 3

Answer: The area of the larger rectangle = 78 sq unit. the area of the small rectangle A = 60 sq unit. the area of the small rectangle B = 18 sq unit.

Explanation: In the above-given question, given that, the area of the larger rectangle = 78 sq unit. area = length x breadth. area = l x b. area = 6 x 13. area = 78. the area of the rectangle A = 60 sq unit. area = length x breadth. area = l x b. area = 10 x 6. area = 60. the area of the rectangle B = 8 sq unit. area = length x breadth. area = l x b. area = 6 x 3. area = 18.

Eureka Math Grade 3 Module 4 Lesson 10 Problem Set Answer Key 4

Answer: The area of the larger rectangle = 96 sq unit. the area of the small rectangle A = 80 sq unit. the area of the small rectangle B = 16 sq unit.

Explanation: In the above-given question, given that, the area of the larger rectangle = 96 sq unit. area = length x breadth. area = l x b. area = 8 x 12. area = 96. the area of the rectangle A = 80 sq unit. area = length x breadth. area = l x b. area = 10 x 8. area = 80. the area of the rectangle B = 16 sq unit. area = length x breadth. area = l x b. area = 8 x 2.

Eureka Math Grade 3 Module 4 Lesson 10 Problem Set Answer Key 5

Answer: The area of the rectangle = 72 sq cm.

Explanation: In the above-given question, given that, the area of the rectangle = l x b. where l = length and b = breadth. area = 9 x 8. area = 72 sq cm. so the area of the rectangle = 72 sq cm.

Eureka Math Grade 3 Module 4 Lesson 10 Problem Set Answer Key 6

Answer: The area of the rectangle = 40 sq cm.

Explanation: In the above-given question, given that, the area of the rectangle = l x b. where l = length and b = breadth. area = 5 x 8. area = 40 sq cm. so the area of the rectangle = 40 sq cm.

Answer: The area of the rectangle = 35 sq cm.

Eureka-Math-Grade-3-Module-4-Lesson-10-Answer Key-1

Eureka Math Grade 3 Module 4 Lesson 10 Exit Ticket Answer Key

Label the side lengths of the shaded and unshaded rectangles. Then, find the total area of the large rectangle by adding the areas of the 2 smaller rectangles.

Eureka Math Grade 3 Module 4 Lesson 10 Exit Ticket Answer Key 7

Answer: The area of the larger rectangle = 56 sq unit. the area of the small rectangle A = 40 sq unit. the area of the small rectangle B = 16 sq unit.

Explanation: In the above-given question, given that, the area of the larger rectangle = 56 sq unit. area = length x breadth. area = l x b. area = 8 x 7. area = 56. the area of the rectangle A = 40 sq unit. area = length x breadth. area = l x b. area = 8 x 5. area = 40. the area of the rectangle B = 16 sq unit. area = length x breadth. area = l x b. area = 8 x 2. area = 16.

Eureka Math Grade 3 Module 4 Lesson 10 Exit Ticket Answer Key 8

Answer: The area of the larger rectangle = 117 sq unit. the area of the small rectangle A = 90 sq unit. the area of the small rectangle B = 27 sq unit.

Explanation: In the above-given question, given that, the area of the larger rectangle = 117 sq unit. area = length x breadth. area = l x b. area = 9 x 13. area = 117. the area of the rectangle A = 90 sq unit. area = length x breadth. area = l x b. area = 9 x 10. area = 90. the area of the rectangle B = 27 sq unit. area = length x breadth. area = l x b. area = 9 x 3. area = 27.

Eureka Math Grade 3 Module 4 Lesson 10 Homework Answer Key

Eureka Math Grade 3 Module 4 Lesson 10 Homework Answer Key 9

Answer: The area of the larger rectangle = 72 sq unit. the area of the small rectangle A = 40 sq unit. the area of the small rectangle B = 32 sq unit.

Explanation: In the above-given question, given that, the area of the larger rectangle = 78 sq unit. area = length x breadth. area = l x b. area = 9 x 8. area = 72. the area of the rectangle A = 40 sq unit. area = length x breadth. area = l x b. area = 5 x 8. area = 40. the area of the rectangle B = 32 sq unit. area = length x breadth. area = l x b. area = 4 x 8. area = 32.

Eureka Math Grade 3 Module 4 Lesson 10 Homework Answer Key 10

Answer: The area of the larger rectangle = 60 sq unit. the area of the small rectangle A = 50 sq unit. the area of the small rectangle B = 10 sq unit.

Explanation: In the above-given question, given that, the area of the larger rectangle = 60 sq unit. area = length x breadth. area = l x b. area = 12 x 5. area = 60. the area of the rectangle A = 50 sq unit. area = length x breadth. area = l x b. area = 10 x 5. area = 50. the area of the rectangle B = 10 sq unit. area = length x breadth. area = l x b. area = 2 x 5. area = 10.

Eureka Math Grade 3 Module 4 Lesson 10 Homework Answer Key 11

Answer: The area of the larger rectangle = 91 sq unit. the area of the small rectangle A = 70 sq unit. the area of the small rectangle B = 21 sq unit.

Explanation: In the above-given question, given that, the area of the larger rectangle = 91 sq unit. area = length x breadth. area = l x b. area = 7 x 13. area = 91. the area of the rectangle A = 70 sq unit. area = length x breadth. area = l x b. area = 7 x 10. area = 70. the area of the rectangle B = 21 sq unit. area = length x breadth. area = l x b. area = 7 x 3. area = 21.

Eureka Math Grade 3 Module 4 Lesson 10 Homework Answer Key 12

Answer: The area of the larger rectangle = 108 sq unit. the area of the small rectangle A = 90 sq unit. the area of the small rectangle B = 18 sq unit.

Explanation: In the above-given question, given that, the area of the larger rectangle = 108 sq unit. area = length x breadth. area = l x b. area = 9 x 12. area = 108. the area of the rectangle A = 90 sq unit. area = length x breadth. area = l x b. area = 9 x 10. area = 90. the area of the rectangle B = 18 sq unit. area = length x breadth. area = l x b. area = 9 x 2. area = 18.

Eureka Math Grade 3 Module 4 Lesson 10 Homework Answer Key 13

Answer: The area of the rectangle = 81 sq cm.

Explanation: In the above-given question, given that, the area of the rectangle = l x b. where l = length and b = breadth. area = 9 x 9. area = 81 sq cm. so the area of the rectangle = 81 sq cm.

Eureka Math Grade 3 Module 4 Lesson 10 Homework Answer Key 14

Explanation: In the above-given question, given that, the area of the rectangle = l x b. where l = length and b = breadth. area = 10 x 4. area = 40 sq cm. so the area of the rectangle = 40 sq cm.

Answer: The area of the rectangle = 24 sq cm.

Eureka-Math-Grade-3-Module-4-Lesson-10-Answer Key-2

Eureka Math Grade 3 Module 4 Lesson 10 Template Answer Key

Eureka Math Grade 3 Module 4 Lesson 10 Template Answer Key 15

Explanation: In the above-given question, given that, the area of the rectangle = l x b. where l = length and b = breadth. area = 4 x 4. area = 16 sq cm. so the area of the rectangle = 16 sq cm.

Answer: The area of the rectangle = 8 sq cm.

Eureka-Math-Grade-3-Module-4-Lesson-10-Answer Key-3

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    1. neither 2. corresponding angles. 3. corresponding sides 4. neither. 5. false; n IHJ ù n KHJ 6. true; SSS. 7. false; n ACE ù n BFD 8. true; SSS. 9. Stable; the figure forms triangles of fixed side lengths which cannot change shape by the SSS Congru-ence Postulate. 10.

  3. Illustrative Mathematics Geometry, Unit 3.4 Practice

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  13. Eureka Math Grade 3 Module 4 Lesson 10 Answer Key

    Eureka Math Grade 3 Module 4 Lesson 10 Problem Set Answer Key. Question 1. Label the side lengths of the shaded and unshaded rectangles when needed. Then, find the total area of the large rectangle by adding the areas of the two smaller rectangles. a. The area of the larger rectangle = 56 sq unit.

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