4-2 Classifying Triangles Answer Key

We includedHMH Into Math Course v Reply Key PDF Module twenty Lesson 2 Classify and Organize Triangles to make students experts in learning maths.

HMH Into Math Grade 5 Module xx Lesson 2 Answer Key Classify and Organize Triangles

I Can classify triangles.

Spark Your Learning

The house shown is chosen an A-frame house. Architects use triangular shapes in many building designs.


Grouping the triangles according to their attributes.
Respond:

Caption:
I grouped the to a higher place triangles based on whether they have all sides with equal length or 2 of the sides equal or dissimilar lengths of sides.

Plough and Talk Draw a square. Use a ruler to describe a diagonal line to form 2 triangles. Describe your triangles.
Answer:

Explanation:
I drew a square and drew a diagonal line to course two triangles.
My triangles are isosceles triangles.

Build Understanding

Question 1.
The angles of the roofs on buildings can form many different types of triangles. Complete the tables past classifying the triangles by angle measures and by side lengths. Write acute (greater than 0° and less than ninety°), obtuse (greater than xc° and less than 180°), or correct (equal to 90°). So write isosceles, scalene, or equilateral.

Connect to Vocabulary
Triangles can be classified past their angle measures and likewise past their side lengths.
An equilateral triangle has 3 coinciding sides.
An isosceles triangle has at least two congruent sides.
A scalene triangle has no coinciding sides.

Answer:

A. What exercise the angles of the right triangles and the birdbrained triangles take in mutual?
Answer:
The sum of all the angles of both right triangles and obtuse triangles is 180.

B. Is it possible to draw a triangle that is both obtuse and equilateral? Explicate.
Answer:
No, an equilateral triangle cannot take an birdbrained angle every bit all the angles are stock-still, they are each lx degrees.

Turn and Talk Are equilateral triangles also isosceles triangles? Are all isosceles triangles as well equilateral triangles? Explain.
Respond:
Every equilateral triangle is also an isosceles triangle.
No, Isosceles triangles have two sides to be equal length, while equilateral triangles take 3 sides of equal length.

Step It Out

Question ii.
Draw and name a triangle with exactly 2 coinciding side and all angles smaller than a right angle.
A. Name the beginning aspect of the triangle given. Then draw that part of the triangle.
Answer:

Explanation:
The first attribute is information technology is isosceles triangle
Two sides are of same length

B. Proper name the second attribute. So complete the drawing of the triangle.
Reply:

Explanation:
The second attribute is all the angles are acute angles that is less than correct angle

C. Allocate the triangle you drew by its angles and by its sides.
Answer:
The triangle is isosceles and acute angled triangle.

Check Agreement

Question ane.
Each flooring of the Flatiron building in New York City is shaped like a triangle. Wait at this pattern of 1 of the floors. Which terms all-time describe the shape of the floor? Explain your reasoning.

Answer:
Right triangle

Explanation:
Each floor of the Flatiron building in New York City is shaped like a triangle
The bluish print of one of the floors is similar a right triangle
And then, it is the best term to draw the shape of the floor of Flatiron Building in New York City.

Allocate the triangle. Write acute, obtuse, or right. And so write isosceles, scalene, or equilateral.

Question 2.

Answer:
Acute and scalene triangle

Caption:
All the angles are less than right angle
All the sides are of different lengths
So, information technology is a astute and scalene triangle.

Question iii.
angles: 100°, 23°, 57°
sides: 20 yd, 8 yd, 17 yd
Answer:
Birdbrained and scalene triangle

Explanation:
One of the angle is more than right bending
All the sides are of different lengths
So, it is an obtuse and scalene triangle.

On Your Own

Question four.
Construct Arguments Tyler and Kiara each draw a line segment on the same isosceles triangle to form smaller triangles. Are their smaller triangles isosceles? Explicate.

Answer:
No, Tyler'due south small triangle is not isosceles and the Kiara'due south small triangle is isosceles

Explanation:
Tyler and Kiara each draw a line segment on the same isosceles triangle to course smaller triangles
All the sides of Tyler's small triangle are of different length
Then, Tyler's small triangle is not isosceles
Two of the sides of Kiara's triangle are of same lengths
So, Kiara'southward modest triangle is isosceles.

Use structure Classify the triangle. Write acute, obtuse, or right. Then write isosceles, scalene, or equilateral.

Question 5.
angles: 45°, xc°, 45°
sides: 5 cm, 7 cm, 5 cm
Reply:
Right and scalene triangle

Explanation:
One of the angles of the three angles is xc
All the sides are of different sides
So, information technology is a right and scalene triangle.

Question 6.
angles: 13°, 20°, 147°
sides: x ft, 15 ft, 24 ft
Reply:

Birdbrained and scalene triangle

Explanation:
One of the angle is more than than correct angle
All the sides are of dissimilar lengths
So, it is an obtuse and scalene triangle.

Question 7.
Attend to Precision Compare the triangles

Name 1 attribute that iii of the triangles have in common.
Answer:
2 sides of three triangles A, C and D are of equal length
There are 3 isosceles triangles

Name 1 attribute that but one of the triangles has.
Respond:
All sides of the triangle A are equal
It is an equilateral triangle.

I'm in a Learning Mindset!

What parts of classifying triangles am I comfortable finding on my own?
Answer:
Am comfortable in classifying the sides of the triangles by my own.

4-2 Classifying Triangles Answer Key,

Source: https://ccssmathanswers.com/into-math-grade-5-module-20-lesson-2-answer-key/

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