Lesson 4.1 To 4.3 Quiz

Reviewed by Editorial Team

The ProProfs editorial team is comprised of experienced subject matter experts. They've collectively created over 10,000 quizzes and lessons, serving over 100 million users. Our team includes in-house content moderators and subject matter experts, as well as a global network of rigorously trained contributors. All adhere to our comprehensive editorial guidelines, ensuring the delivery of high-quality content.

Learn about Our Editorial Process

| By Philip Benanti

Philip Benanti

Community Contributor

Quizzes Created: 18 | Total Attempts: 30,137

| Attempts: 87

Questions

Feedback

During the Quiz End of Quiz

Difficulty

Sequential Easy First Hard First

Share on Facebook Share on Twitter Share on Whatsapp Share on Pinterest Share on Email Copy to Clipboard Embed on your website

1/17 Questions

How many sides are congruent in a scalene triangle?
- 0
- 2
- 3

About This Quiz

This quiz, titled 'Lesson 4.1 to 4.3 Quiz', assesses understanding of triangle properties, focusing on congruency in scalene and equiangular triangles, and solving for variable 'x'. It is designed to enhance problem-solving skills relevant to geometric concepts.

2.

How many angles are congruent in an equiangular triangle?
- 0
- 2
- 3
Correct Answer

A. 3

Explanation

In an equiangular triangle, all three angles are congruent, meaning they have the same measure. Therefore, the correct answer is 3, as there are three congruent angles in an equiangular triangle.

Rate this question:
3.

What is x?
- 86
- 94
- 55
Correct Answer

A. 86
4.

What is x?
- 85
- 95
- 15
Correct Answer

A. 85
5.

What is x?
- 20
- 90
- 30
Correct Answer

A. 30
6.

What is x?
- 35
- 55
- 125
Correct Answer

A. 55
7.

What is the missing angle?
- 133
- 47
- 43
Correct Answer

A. 47

Explanation

The missing angle can be determined by subtracting the given angles from 180 degrees, since the sum of the angles in a triangle is always 180 degrees. Therefore, 180 - 133 - 43 = 4. Since the missing angle is less than 180 degrees, it must be positive. Thus, the missing angle is 47 degrees.

Rate this question:
8.

If triangle ABC = triangle JLK, what side is congruent to AB
- JK
- KL
- JL
Correct Answer

A. JL

Explanation

If triangle ABC is congruent to triangle JLK, it means that they have the same shape and size. Therefore, the corresponding sides of these triangles are congruent. Since AB is a side of triangle ABC, the corresponding side in triangle JLK that is congruent to AB is JL.

Rate this question:
9.

What is x?
- 42
- 48
- 142
Correct Answer

A. 42
10.

Given triangle ABC= triangle FGH, which angle is congruent to angle B?
- Angle G
- Angle F
- Angle H
Correct Answer

A. Angle G

Explanation

In a congruent triangle, corresponding angles are equal. Since triangle ABC is congruent to triangle FGH, angle B in triangle ABC is congruent to angle G in triangle FGH.

Rate this question:
11.

Assume triangle DEF = triangle XYZ. IF DE = 14, DF = 15, and EF = 9, what is the length of XY?
- 14
- 15
- 9
Correct Answer

A. 14

Explanation

If triangle DEF is congruent to triangle XYZ, it means that they have the same shape and size. Therefore, corresponding sides of the triangles are equal. Given that DE = 14, it implies that XY, which corresponds to DE, is also equal to 14.

Rate this question:
12.

What congruence postulate can be used to prove that the two triangles are congruent?
- SSS
- ASA
- SAS
Correct Answer

A. SAS

Explanation

The congruence postulate that can be used to prove that the two triangles are congruent is SAS (Side-Angle-Side). This postulate states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent. In this case, the given information is that one side and the two angles of one triangle are congruent to one side and the two angles of another triangle, satisfying the conditions of the SAS postulate. Therefore, the triangles can be proven to be congruent using the SAS postulate.

Rate this question:
13.

What is y?
- 160
- 20
- 80
Correct Answer

A. 80
14.

How would you classify this triangle? (Choose all that apply)
- Scalene
- Isosceles
- Acute
- Right
- Equilateral
Correct Answer(s)

A. Scalene
A. Acute

Explanation

This triangle can be classified as scalene because it has three sides of different lengths. It can also be classified as acute because all of its angles are less than 90 degrees.

Rate this question:
15.

How would you classify this triangle?(Check all that apply)
- Scalene
- Right
- Isosceles
- Acute
- Equlateral
Correct Answer(s)

A. Right
A. Isosceles

Explanation

The triangle can be classified as a right triangle because it has one angle that measures 90 degrees. It can also be classified as an isosceles triangle because it has two sides that are equal in length.

Rate this question:
16.

You can build two triangles that have the same side lengths but are not congruent.
- True
- False
Correct Answer

A. False

Explanation

Two triangles with the same side lengths are always congruent. This is because the side lengths determine the shape and size of a triangle. If two triangles have the same side lengths, then all corresponding angles will also be equal, making them congruent. Therefore, the statement that two triangles with the same side lengths are not congruent is false.

Rate this question:
17.

Extra Credit:All equilateral triangles are also isosceles trianlges
- True
- False
Correct Answer

A. True

Explanation

An isosceles triangle has AT LEAST two congruent sides. An equilateral triangle has three congruent sides, which means that it has at least two sides congruent.

Rate this question: