Unit 2 Lesson 4, Types of Triangles Practice, math 6B, school year 2021-2022 answers. Only use this to check your work:
1. Select the correct classification for the triangle shown below.
Answer: isosceles
Explanation: This triangle is an isosceles triangle because it has only 2 congruent sides.
2. Select the correct classification for the triangle shown below.
Answer: equilateral
Explanation: This triangle is an equilateral triangle because all of the triangle’s sides are congruent.
3. What is the correct way to classify a triangle with angles that measure 20 degrees, 40 degrees, and 120 degrees?
Answer: obtuse
Explanation: I know that this triangle is an obtuse triangle because one of the angles is obtuse because the angle is above 90 degrees and the angle is 120 degrees.
4. What is the correct way to classify a triangle with angles that measure 52 degrees, 68 degrees, and 60 degrees?
Answer: acute
Explanation: This triangle is an acute angle because all the angles are under 90 degrees and not a single angle is 90 degrees or over.
5. What are the correct ways to classify the triangle shown below?
Answer: right, scalene
Explanation: I know that this triangle is a right, scalene triangle because one of the angles is a right angle (90 degrees) and all the sides of the triangle are not congruent.
6. What are the correct ways to classify the triangle shown below?
Answer: obtuse, isosceles
Explanation: I know that this triangle is an obtuse, isosceles because one of the angles is an obtuse angle (over 90 degrees). Also, two of the sides of the triangle are congruent.
7. Find the measure of the missing angle.
Answer: 40 degrees
Explanation:
82+58=140
180-140=40
Therefore, the missing angle is 40 degrees.
8. Find the measure of the unknown angle.
Answer: 23 degrees
Explanation:
115+42=157
180-157=23
Therefore, the missing angle is 23.
9. Find the value of x.
In the picture they show a right angle (90 degrees) and a 27 degree angle.
Answer: 63 degrees
Explanation:
In the picture they show a right angle (90 degrees) and a 27 degree angle, so this is how we find the missing angle.
90+27=117
180-117=63
Therefore, the missing angle is 63 degrees.
10. An isosceles triangle has two angles that measure 75 degrees. What is the measure of the third angle of the triangle?
Answer: 30 degrees
Explanation:
Two angles measure 75 degrees so we should add the angle together first. 75+75=150
The last step is to subtract 150 from 180. 180-150=30
Therefore, the missing angle is 30 degrees.
These are the answers and explanations for Unit 2 Lesson 4, Types of Triangles Practice, math 6B, school year 2021-2022. If you have any questions about this, then please ask me.
Sincerely, Unicorn
You can HOPE all these stay the same! These days, with nearly everything computerized, test questions and answers can be moved around — and often are!
holy... thats... alot
If you need help with anything, then please put in the assessment that you need help with like this and I will help you:
Unit _ Lesson _, (Lesson Name) (Type of Assessment), (Subject) (Grade) (Semester), (School year).
By the way, I can only help you with the assessments that are in the 6th grade and the 2nd semester (6B).
Sincerely, Unicorn
Anon, thanks for reminding me and everyone else.
Sincerely, Unicorn
Here are the answers for unit 2 lesson 5, Points, Lines, Angles, and Triangles Quiz Part 1, math 6B, the school year 2021-2022. Only use this to check your work:
Use the points in the diagram to name the figure shown. Then identify the type of figure.
Image: The image shows a line that expands forever at two ends. One end has a C on the line and the other end has a D on the other end.
Answer: (A) CD line ( CD has a line above it that expands forever at both ends)
Draw a line with 3 distinct points on it. Label each with a different letter. How many different rays can you name using only the three given points?
Answer: 4
Use the diagram below to answer the question. Identify a segment parallel to HG (Hg has a line that doesn’t expand above).
Answer: EF (EF has a line above it that doesn’t expand at both ends)
The measure of angle A is 124°. What is the correct classification for angle A?
Answer: Obtuse
Explanation: The angle is an obtuse angle because it is over 90 degrees.
Find the complement of an angle with measure 72°.
Answer: 18 degrees
Explanation: 90 - 72 = 18
Therefore, the complementary angle is 18 degrees.
Find the value of x in the figure.
Answer: 65 degrees
Explanation:
90 + 25 = 115
180 - 115 = 65
Therefore, the value of x is 65 degrees
The measures of two angles of a triangle are 36° and 71°. Find the measure of the third angle, and classify the triangle according to its angles.
Answer: 73 degrees
Explanation:
36 + 71 = 107
180 - 107 = 73
Therefore, the measure of the third angle is 73 degrees.
What is the correct way to classify the triangle shown below?
Image: The image shows an obtuse, scalene triangle. One of the angles of the triangle is 115 degrees.
Answer: Obtuse, Scalene
Explanation: The triangle is an obtuse, scalene angle because one of the angles is over 90 degrees (obtuse angle) and the measure of the angle is 115 degrees. Also, all the sides of the triangle are not congruent.
These are the answers for unit 2 lesson 5, Points, Lines, Angles, and Triangles Quiz Part 1, math 6B, the school year 2021-2022.
Sincerely, Unicorn
Here are the answers for unit 1 lesson 5, putting it all together: Ratios, Rates, Proportions Quiz Part 1, math 6B, the school year 2021-2022. Only use this to check your work:
There are 18 boys and 12 girls in a math class. What is the ratio of girls to total students?
Answer: 12:30
Explanation: 18 + 12 = 30 meaning that there were 30 kids in math class total. Also, the word problem said that there are 12 girls in math class. Therefore, the ratio is 12:30.
Which of the following ratios are equivalent to 6:9? Choose all that apply.
A- 3:2
B- 18/27
C- 30:45
D- 24/32
Answer: 18/27 and 30:45
What is the unit price for one CD if 3 CDs cost $29.85?
Answer: $9.95
Explanation:
29.85 divided by 3 = 9.95
Therefore, the unit price for one CD is $9.95.
Milo types 35 words per minute. How many words can he type in 7 minutes?
Answer: 245 words
Explanation:
35 x 7 = 245
Therefore, Milo can type 245 words in 7 minutes.
Select the pairs of ratios that form a true proportion. Choose all that apply.
Answer: 3:6 and 5:10
Explanation:
5/10 divided by 5 = ½
3/6 divided by 3 = ½
Therefore, since the simplified fractions are the same, 3:6 and 5:10 are true proportions.
Solve the proportion. 42/15 = p/10
Answer: p = 28
Explanation:
In order to solve this, we must use cross products to solve this proportion.
42 x 10 = 420
420 divided by 15 = 28
Which is the better buy?
Answer: 1
Explanation:
$1.60 x 5 = $8.00
$2.45 x 7 = $17.15
Therefore, option 1 is better to buy than option 2.
These are the answers for unit 1 lesson 5, putting it all together: Ratios, Rates, Proportions Quiz Part 1, math 6B, the school year 2021-2022.
Sincerely, Unicorn
Here are the answers for Unit 4 Lesson 6, Ocean Circulation Quick Check, science 6B, the school year 2021-2022. Only use this to check your work:
1. Which explains how ocean currents affect global climates?
Answer: Water absorbs a lot of thermal energy and releases it over time and distance.
2. Which is correct about warm currents?
Answer: They are surface currents.
3. Use the map of the world's oceans to answer the question. How does Brazil's current affect the climate of South America?
Answer: It brings warm temperatures to the eastern coast of South America.
4. Which is a consequence of the Gulf Stream becoming weaker?
Answer: It will result in more powerful Atlantic hurricanes.
These are the answers for Unit 4 Lesson 6, Ocean Circulation Quick Check, science 6B, the school year 2021-2022. These are 100% correct, trust me.
Sincerely, Unicorn
To everyone, when you are putting in your answers, don't just write the letter answers. Instead, just put in the word answers and write the explanations for the answers. Doing this can actually educate people even more because if they just read the letter answers and they don't get an explanation, then people won't really learn anything and they won't understand how and why your answer is correct.
Sincerely, Unicorn
Here are the answers for unit 2 lesson 10, tools of geometry review, understanding polygons practice assessment, math 6B, school year 2021-2022. Only use this to check your work:
1: What is the value of x in the figure shown?
Image: The image shows a trapezoid with four angles, 65-degree angle, 123-degree angle, 87-degree angle, and a missing angle.
Answer: 85 degrees
2. In the following figure, triangle ABC and triangle DEF are similar. What is the value of x?
Image: This image shows 2 scalene triangles. One of them is 3 times bigger than the other triangle.
Answer: 25.5 mm
Explanation:
One of the measurements 4mm x _ = 12mm shows that the other triangle is 3 times bigger than the other triangle, and 8.5 is the bottom side of the scalene triangle, so that means that x must be 3 times bigger than the side (bottom side) which is 8.5mm long.
8.5 x 3 = 25.5
Note: 8.5 is the length of one of the sides of the scalene triangle, and 25.5 is the 3 times longer version of one of the triangle's sides.
Therefore, 25.5 is the value of x.
3. How many lines of symmetry are found in the following figure?
Image: The image shows a rectangle.
Answer: 2 lines of symmetry.
4. Trapezoid ABCD is congruent to trapezoid EFGH. Which statement is true?
Image: The image shows two trapezoids.
Answer: Side EF is 9cm.
Explanation: Study the image of two trapezoids and you will see how and why my answer is correct.
5. Which measurements would be correct for the trapezoid EFGH if it were similar to trapezoid ABCD.
Image: The image shows two trapezoids.
Answers: side EF=18 cm; side GH = 30 cm; height: 6 cm
Explanation: Each triangle is 3 cm tall, 15 cm long on one side, and 9 cm long on the other side. So, we should multiply 3, 15, and 9 by two since there are two trapezoids.
3 x 2 = 6
15 x 2 = 30
9 x 2 = 18
Therefore, in total, the trapezoids are 6 cm tall, 30 cm long on one side, and 18 cm long on the other side.
6. Which image would result if the figure were reflected across the line of reflection?
Image: The image shows an arrow pointing to the right with a dotted line that goes on forever underneath it.
Answer: The arrow pointing to the right ( c )
7. Which classifications fit the shape shown in the figure? Choose all that apply.
Image: The image shows a rectangle.
Answer: Parallelogram and Rectangle
These are the answers and explanations for unit 2 lesson 10, tools of geometry review, understanding polygons practice assessment, math 6B, school year 2021-2022.
These are the answers for unit 2 lesson 11, Tools of Geometry Unit Test Part 1, math 6B, school year 2021-2022. Only use these to check your work:
Which is a set of collinear points?
Answer: L,H,J
Use the diagram to identify a segment parallel to HE (HE has a line that doesn’t expand forever above).
Answer: AB (AB has a line that doesn’t expand forever above)
The measure of angle A is 93 degrees. Classify the angle as acute, right, obtuse, or straight.
Answer: Obtuse
Find the measures of the complement and the supplement of an angle with measure 50 degrees.
Answer: complement, 40 degrees; supplement, 130 degrees
Explanation:
The complementary angle is 40 degrees because 90 - 50 = 40.
The supplementary angle is 130 because 180 - 50 = 130.
Name the angle that is supplementary to <COB.
Answer: BOF
6. What is the value of e?
Answer: 48 degrees
Explanation:
180 - 132 = 48
Therefore, the value of e is 48 degrees.
Classify the triangle with angles with measures 20 degrees, 133 degrees, and 27 degrees as acute, right, or obtuse.
Answer: Obtuse
Explanation: Obtuse angles are angles over 90 degrees and one of the angles is 133 degrees which is an obtuse angle. Therefore, The triangle is obtuse.
Find the value of x in the triangle.
Image: The image shows a right, isosceles triangle. The image also shows a right angle (90 degrees) and a 54-degree angle.
Answer: 36 degrees
Explanation:
The image shows a right angle which is 90 degrees and a 54 angle, so we should add them together. 90+54=144
180 - 144 = 36
Therefore, the value of x is 36 degrees.
A baseball field has four bases that form the shape of a quadrilateral. If someone invented a new game similar to baseball that had two extra bases in the field, what type of polygon would the bases form?
Answer: Hexagon
Explanation: 4+2=6 and hexagons have 6 sides.
Which is the most descriptive name for the shape below?
Answer: Trapezoid
Which figures appear to be congruent?
Answer: 1 and 5
Which statement is true about the following pair of rectangles?
Answer: They are similar because 3/6 = 30/60.
In which figure is the dashed line a line of symmetry?
Answer: (D) The figure that isn’t uneven, but looks like two Ls that got stuck together.
Explanation: Each half of the figure looks exactly the same, unlike the others.
Which figure has no line of symmetry?
Answer: (A) The figure that is not shaped like a heart or a circle, but is uneven.
Identify the pair of figures in which the second figure is a translation of the first figure.
Answer: (A) The image with two L-shaped figures.
A fan has five equally spaced blades. Suppose you line up two fans directly on top of each other. What is the least number of degrees that you can rotate the top fan so that the two fans are perfectly aligned again?
Answer: 72 degrees
What kind of transformation is shown in the picture?
Answer: translation
Select the word to make the statement true. Similar polygons are _____________ the same shape.
Answer: always
How many lines of symmetry does a square have?
Answer: 4
Which pair of transformations to the figure shown below would produce an image that is on top of the original (same position, shape, and size)?
Answer: a translation down and a reflection over the horizontal line of reflection shown.
Geoffrey draws a triangle. One of the angles measures 75° and one of the angle measures is 40°. What is the measure of the third angle?
Answer: 65 degrees
Explanation:
75+40=115
180 - 115 = 65
Therefore, the measure of the third angle is 65 degrees.
What is the area of the triangle with a base of 6 centimeters and height of 8 centimeters?
Answer: 24 cm square
Explanation:
The formula to find the area for a triangle is Base times Height divided by 2 (B x H / 2) So this is how we find the area for the triangle.
6 times 8 = 48
48 divided by 2 = 24
Therefore, the area of the triangle is 24 cm square.
Classify the triangle by its angles and its sides. Explain how you knew which classifications to use.
Answer: Answer: The triangle is an acute scalene triangle. I know because all the angles are less than 90 degrees (acute angle). Also, all the sides aren’t congruent.
What kind of transformation is shown below? Explain how you knew which type of transformation it was.
Answer/Tip/Hint: The transformation is reflection. A reflection is the reversed version of the original figure. Now use this information I gave you and add some more explanation. Put this in your own words.
These are the answers and explanations for unit 2 lesson 11, Tools of Geometry Unit Test Part 1, math 6B, school year 2021-2022. Also, for questions 23 and 24, put the answers in your own words so the school doesn’t find out that you used my answers for help.