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Texas Go Math Grade 7 Lesson 4.1 Answer Key Similar Shapes and Proportions
Refer to our Texas Go Math Grade 7 Answer Key Pdf to score good marks in the exams. Test yourself by practicing the problems from Texas Go Math Grade 7 Lesson 4.1 Answer Key Similar Shapes and Proportions.
Texas Go Math Grade 7 Lesson 4.1 Explore Activity Answer Key
Similar Shapes and Proportions
Similar shapes have the same shape but not necessarily the same size. You can use square tiles to model similar figures.
A rectangle made of square tiles measures 5 tiles long and 2 tiles wide. Find the length of a similar rectangle that measures 6 tiles wide.
Similar Figures and Proportions Lesson 4.1 Answer Key Geometry Question 1. Justify Reasoning If one dimension is changed, why does the other dimension have to change to create a similar figure? Answer: The other dimension has to change because the ratio between dimensions of a similar figure has to remain the same
Explain whether the triangles are similar.
Explain whether the shapes are similar.
Texas Go Math Grade 7 Lesson 4.1 Guided Practice Answer Key
Question 1. A rectangle made of square tiles measures 7 tiles long and 3 tiles wide. What is the length of a similar rectangle whose width is 9 tiles? (Explore Activity) Answer: Ratios between dimensions have to be preserved. \(\frac{7}{l}\) = \(\frac{3}{9}\) 7 × 9 = 3l 3l = 63 l = 21 Length of a similar rectangle whose width is 9 tiles is 21 tiles.
Explain whether the shapes are similar. (Examples 1 and 2)
Essential Question Check-In
Question 4. Describe how to use ratios to determine whether two shapes are similar. Answer: First, check if the angles are corresponding. Then, check if the ratios of the corresponding sides are equal.
Texas Go Math Grade 7 Lesson 4.1 Independent Practice Answer Key
Determine if each statement is true or false. Justify your answer.
Question 5. All squares are similar. __________ Answer: Let’s check what it takes for a quadrangle to be a square.
- All of the quadrangle’s sides must have the same length.
- All of the quadrangle’s angles must be equal to 90°
Now, it is obvious that the angles are corresponding. Next, we can see that the ratios of corresponding sides are obviously equal because all 4 sides of a square are of equal length. Thus, all squares are similar.
Question 6. All right triangles are similar. __________ Answer: False
A triangle needs to have one right angle to be a right triangle That does not mean the other 2 angles are corresponding. Thus, all right angles are not similar.
Go Math Grade 7 Lesson 4.1 Answer Key Question 7. Hugo has a small print of one of the paintings on the table. It is similar in size to the original. The print measures 11 in. × 10 in. Of which painting is this a print? Explain. Answer: It is a print of “The Dance Class” because the dimensions are corresponding \(\frac{11}{33}\) = \(\frac{10}{30}\) \(\frac{1}{3}\) = \(\frac{1}{3}\)
Question 11. rectangle A and the original rectangle Answer: Check if the ratios between corresponding sides are equal Original rectangLe: 12 ft. by 15 ft. Rectangle A: 4 ft. by 5 ft. \(\frac{12}{4}\) \(\stackrel{?}{=}\) \(\frac{15}{5}\) 3 = 3 Rectangle A and the original rectangle are similar.
Question 13. rectangle C and rectangle B Answer: Check if the ratios between the corresponding sides are equal. Rectangle B: 5 ft. by (12 – 4) ft. Rectangle B: 5 ft. by 8 ft. Rectangle C: 4 ft. by (15 – 5) ft. Rectangle C: 4 ft. by 10 ft. \(\frac{5}{4}\) ≠ \(\frac{8}{10}\) Observe that the fraction on the left side is greater than 1, and the fraction on the right side is lesser that 1. We can conclude that they are not equal without further calculation. Rectangle B and rectangle C are not similar.
H.O.T. FOCUS ON HIGHER ORDER THINKING
But, are they similar? The answer is no Because the corresponding angles are obviously not equal.
The first and the third shape are not similar.
Now, we can just look at the angles in the second and the third shape. We can see that the corresponding angles are not equal.
The second and the third shape are not similar.
Similar Figures Proportions Go Math Grade 7 Lesson 4.1 Question 15. Communicate Mathematical Ideas Describe the two tests two polygons must pass to be proven similar. Answer: First test: Two polygons must have equal corresponding angles. Second test: Two polygons must have equal ratios between their corresponding sides.
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Home > CC2 > Chapter Ch4 > Lesson 4.1.1
Lesson 4.1.1, lesson 4.1.2, lesson 4.2.1, lesson 4.2.2, lesson 4.2.3, lesson 4.2.4, lesson 4.3.1, lesson 4.3.2, lesson 4.3.3.
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Eureka Math Grade 4 Module 4 Lesson 1 Answer Key
Engage ny eureka math 4th grade module 4 lesson 1 answer key, eureka math grade 4 module 4 lesson 1 problem set answer key.
Explanation:
Eureka Math Grade 4 Module 4 Lesson 1 Exit Ticket Answer Key
Question 2. How is a line different from a line segment? Answer: A line can be defined as a long, straight and continuous path which is represented using arrowheads in both directions and the lines do not have a fixed point it can be extended in two directions, but the line segment is a straight line that passes through the two points and have a fixed point and it can not be extended.
Eureka Math Grade 4 Module 4 Lesson 1 Homework Answer Key
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Eureka Math Grade 4 Module 1 Lesson 7 Exit Ticket Answer Key. Question 1. Round to the nearest thousand. Use the number line to model your thinking. Question 2. It takes 39,090 gallons of water to manufacture a new car. Sammy thinks that rounds up to about 40,000 gallons. Susie thinks it is about 39,000 gallons.
May: $23.25; Inez: $2,325; Carolyn: $232.50 Chapter 4 P81. Lesson Check (CC.5.NBT.2) 1. The length of the Titanic was 882 feet. Porter's history class is building a model of the Titanic. The model is of the actual length 100 of the ship. How long is the model? @ 882 feet @ 88.2 feet 8.82 feet @ 0.882 feet 2. Ted is asked to multiply 102 x 18.72.
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