A Geometry student submitted the following solutions and explanations to the problems below.Find the error(s) in their work and explain why they are incorrect. Then, complete the correctsolutions to the problem, showing all of your work and justifications.Problem: Are the two triangles shown similar? How do you know? If so, write a similaritystatement for the triangles.a)Mb) T80803240201555°'N40°45°U 24VHNo; you need 2 pairs of congruent angles.The 80°-angles are congruent, but32244and 5 =3Because they both measure 40°,ZV = LX.45° + 55°.Yes; AUVT ~ A YXZ by theSAS ~ Theorem.

The similarity of triangles can be proven by AAA, SSS, and SAS properties. In AAA property of…

Answered: Problem: Are the two triangles shown…

Math

Geometry

Problem: Are the two triangles shown similar? How do you know? If so, write a similarity statement for the triangles.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter7: Locus And Concurrence

Section7.2: Concurrence Of Lines

Problem 4E

See similar textbooks

Related questions

Q: 46.75 H< 44 48 V A 51 N.

A: Both the triangles are similar with SAS property

Q: Suppose the largest angle of a triange is the sum of the other two angles. Find the smallest angle…

A: We know that sum of angles of triangle is 180 Then we will form another two equation by given…

Q: Suppose you are given the three lengths shown and are asked to construct a triangle whose sides have…

A: It is given that there are 3 line segments of lengths are, r, s and t. Lengths can be assumed from…

Q: What two triangles are similar

A: Given, ∆ABC , ∆XYZ and ∆DEF We have to find the similarity of two triangles.

Q: How would the following triangle be classified?

A: Two side lengths are congruent and one angle measures 90 degree

Q: 1.Prove that opposite angles in a cyclic quadrilateral are supplementary.

Q: Determine the relationship between the two triangles and whether or not they can be proven to be…

Q: Determine if the two triangles are congruent. If so, then state how you know. If not, then choose…

Q: One way to show that two triangles are similar is to show that

A: One way to show that two triangles are similar is to show that corresponding angles in triangles are…

Q: Are the triangles similar? If yes, write a similarity statement and explain how you know they are…

A: To check whether the triangles∆FHG and ∆HKJ are similar or not, use AAA similarity. By applying the…

Q: Use the pair of similar triangles at the right to complete the similarity statement. 12. B 8. 4.5…

Q: A triangle has an opposite side of 5, a hypotenuse side of 13, and an angle of Ɵ. What is the…

Q: if a 45-45-90 degree triangle has a hypotenuse length of 20 degrees. What is the length of a side

A: a 45-45-90 degree triangle hypotenuse length of 20 Length of a side?

Q: Are the triangles similar? If so, write a similarity statement and state the postulate you used

A: Any two triangles are said to be similar if, i) Corresponding angles of the triangles are equal. ii)…

Q: These two triangles are not similar

Q: Two triangles are____________ if the lengths of two corresponding sides are equal and the angles…

Q: The picture shows a right triangle, with the altitude drawn to the hypotenuse. Given that it splits…

A: To find the exact value of h,a,b

Q: What is meant by the statement “every triangle can be circumscribed”?

A: The point where perpendicular bisector of all sides of a triangle meet is called circumcenter of the…

Q: Are these triangles similar? If so, which theorem can be used to prove your answer? Yes No

A: given triangle are similar

Q: Are these triangles similar? If so, what is the similarity statement?

Q: Choose the correct proof for given triangles.

A: Here, two triangles are given with common vertex. AAS Rule of Congruence : If two angles and the…

Q: What do you do first if you are asked to find the area of a triangle and are given two sides and the…

A: Two sides and the included angle. The area of the triangle is, A=12absinC, where a & b are the…

Q: Suppose we know the length of one side and one acute angle of a 30°9 60° right triangle. Is it…

Q: Determine the relationship between the two triangles and whether or not they can be proven to be…

A: In △ABC & A1B1C1m<A=m<B1m<C=m<C1 (Given)AB=A1B1So by AAS ( angle angle side ).…

Q: how do i find Corresponding sides in similar Triangles?

A: The similar figure are of the same shape but may be of different sizes. Consider the triangle ABC…

Q: A right triangle is inscribed in a circle with a radius of length 5 cm. If one of the angles of the…

Q: find the length of the missing sides if side a is opposite angle A, side b is opposite angle B, and…

A: Solution : We have given that the length side of a = 10, side c is Hypotenuse and cosB = 4/5

Q: Are the triangles similar? If so write a similarity statement, and name the postulate or theorem you…

Q: Leah takes a square-base pyramid and takes a cross section perpendicular to its base. She notes that…

A: We will find whether Leah is correct or not as following.

Q: The legs of a right triangle are given as a and If + = 16, then the hypotenuse equals: О 16 O 4 O 8…

Q: We use the law of cosines to find the missing parts of triangles for which we aregiven two _______…

A: Consider a triangle: Laws of cosine states that: a2=b2+c2-2bc cos Ab2=c2+a2-2ca cos Bc2=a2+b2-2ab…

Q: A father wishes to make a home plate for his son to use in practicing baseball. Find the size of…

A: a. We are going to use the following graph. By the assumptions, m∠A=m∠B=m∠C m∠D=m∠E=90°

Q: What additional information would prove the triangles congruent by the hypotenuse-

A: Consider the given figure:

Q: 12)

Q: Which statement is NOT true about similar triangles ?

A: For the given statement

Q: Consider the following right triangle with sides a, b, and c in which c is the hypotenuse. If the…

A: Explanation of the solution is given below...

Q: State if the two triangles to the right are congruent. If they are, state how you know.

Q: Are the two triangles not drawn to scale similar? If so explain why they are.

A: Check similar or not

Q: Are the two triangles similar? If yes, then complete the similarity statement. Select all that…

A: We have to find

Q: Gloria is recording her findings about the similar triangles shown, and she writes "AWVU-AYXZ" in…

A: Given Gloria records her findings about the similar triangles shown, and she writes △WVU~△YXZ in her…

Q: Could you explain in detail or steps how to do these type of special triangles?

Q: the two triangles similar? How

Q: What similarity property, if any, can be used to show that the following two triangles are similar.

Q: Find the lengths of the missing sides if side a is opposite angle A, side b is opposite angle B, and…

A: Given triangle c= hypotenuse a=opposite b=adjacent Tan(A)=5/12

Q: Are the two triangles similar? How do you know?

A: 2 triangles are said to be similar when the respective angles of the triangles are equal and the…

Q: If you are given all three sides of a triangle (SSS), how can you tell whether it has a right angle?

A: If square of one side is equal to sum of squares of another two sides then we can say pythagorean…

Q: Are these triangles similar? If yes, how do you know?

A: We will solve the following.

Q: Problem 5 State if the two triangles are congruent. If they are, state how you know. OA OB OC A) SSS…

A: 5) To state if the triangles are congruent

Question

A Geometry student submitted the following solutions and explanations to the problems below.
Find the error(s) in their work and explain why they are incorrect. Then, complete the correct
solutions to the problem, showing all of your work and justifications.
Problem: Are the two triangles shown similar? How do you know? If so, write a similarity
statement for the triangles.
a)
M
b) T
80
80
32
40
20
15
55°
'N
40°
45°
U 24
V
H
No; you need 2 pairs of congruent angles.
The 80°-angles are congruent, but
32
24
4
and 5 =3
Because they both measure 40°,
ZV = LX.
45° + 55°.
Yes; AUVT ~ A YXZ by the
SAS ~ Theorem.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Basics (types, similarity, etc)$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, geometry and related others by exploring similar questions and additional content below.