Congruent Triangles Identification and Measurement
17 Questions
4 Views

Choose a study mode

Play Quiz
Study Flashcards
Spaced Repetition
Chat to Lesson

Podcast

Play an AI-generated podcast conversation about this lesson

Questions and Answers

What is the measure of angle H in the given figure?

  • 50°
  • 60°
  • 40° (correct)
  • 30°

What is the measure of angle S in the triangle ∆ROS ≅ ∆CAN?

  • 30°
  • 50°
  • 40° (correct)
  • 60°

What is the measure of angle N in the triangle ∆SIT ≅ ∆RUN?

  • 20°
  • 30°
  • 10°
  • 50° (correct)

What is the value of $x$ in the triangle ∆MAN ≅ ∆DEN?

<p>30 (D)</p> Signup and view all the answers

Which of the following pairs of triangles are congruent according to the given information?

<p>∆MAT ≅ ∆CPU (A)</p> Signup and view all the answers

What is the relationship between the corresponding angles and sides in the congruent triangles ∆MAT and ∆CPU?

<p>∠M ≅ ∠C, ∠A ≅ ∠P, ∠T ≅ ∠U and MA ≅ CP, AT ≅ PU, MT ≅ CU (A)</p> Signup and view all the answers

What is the main objective of the lesson taught in Legazpi City Science High School?

<p>Identifying corresponding parts of congruent triangles (D)</p> Signup and view all the answers

In the given context, what does it mean for two triangles to be congruent?

<p>Their corresponding angles are equal and their sides are equal in length (D)</p> Signup and view all the answers

What is the missing part of the statement '∆𝐼𝑀𝐿 ≅ ∆𝐸𝑅𝐿' based on the given information?

<p>Corresponding angles (D)</p> Signup and view all the answers

How many pairs of triangles are mentioned to be congruent?

<p>Two pairs (D)</p> Signup and view all the answers

What is not a part of the objectives mentioned for the lesson?

<p>Graphing trigonometric functions (C)</p> Signup and view all the answers

If ∠N = 28°, then ∠Z = _____

<p>28° (B)</p> Signup and view all the answers

If ∠I = 92°, then ∠E = _____

<p>92° (A)</p> Signup and view all the answers

If ∠M = 60°, then ∠R = _____

<p>60° (D)</p> Signup and view all the answers

If NI = 4ft, then ZE = _____

<p>4ft (C)</p> Signup and view all the answers

If IM = 3ft, then ER = _____

<p>3 ft (D)</p> Signup and view all the answers

If MN = 4ft, then RZ = _____

<p>4ft (D)</p> Signup and view all the answers

Study Notes

Congruent Triangles

  • Corresponding parts of congruent triangles are congruent (CPCTC).
  • When two triangles are congruent, their vertices can be paired so that corresponding sides and corresponding angles are congruent.

Congruent Triangles Examples

  • ∠N ≅ ∠Z, if ∠N = 28°, then ∠Z = 28°
  • ∠I ≅ ∠E, if ∠I = 92°, then ∠E = 92°
  • ∠M ≅ ∠R, if ∠M = 60°, then ∠R = 60°
  • 𝑁𝐼 ≅ 𝑍𝐸, if 𝑁𝐼 = 4ft, then 𝑍𝐸 = 4ft
  • 𝐼𝑀 ≅ 𝐸𝑅, if 𝐼𝑀 = 3ft, then 𝐸𝑅 = 3ft
  • 𝑀𝑁 ≅ 𝑅𝑍, if 𝑀𝑁 = 4ft, then 𝑅𝑍 = 4ft

Congruent Triangles Properties

  • ∠𝐶 ≅ ∠𝑂, 𝐶𝐴 ≅ 𝑂𝐹, ∠𝐴 ≅ ∠𝐹, 𝐴𝐵 ≅ 𝐹𝑋, ∠𝐵 ≅ ∠𝑋, 𝐶𝐵 ≅ 𝑂𝑋

Congruent Triangles Theorems

  • Triangle Sum Theorem: ∠x + 30° + 110° = 180°
  • ∆𝑴𝑨𝑻 ≅ ∆𝑪𝑷𝑼, ∠M ≅ ∠C, ∠A ≅ ∠P, ∠T ≅ ∠U, 𝑀𝐴 ≅ 𝐶𝑃, 𝐴𝑇 ≅ 𝑃𝑈, 𝑀𝑇 ≅ 𝐶𝑈

Solving for Unknowns

  • ∆𝑅𝑂𝑆 ≅ ∆𝐶𝐴𝑁, ∠x = 40°
  • ∆𝑆𝐼𝑇 ≅ ∆𝑅𝑈𝑁, ∠T = ∠N, 2n + 10 = 50, n = 20
  • ∆𝑀𝐴𝑁 ≅ ∆𝐷𝐸𝑁, solve for x

Studying That Suits You

Use AI to generate personalized quizzes and flashcards to suit your learning preferences.

Quiz Team

Description

This quiz focuses on identifying corresponding parts of congruent triangles, naming congruent triangles, finding the measure of corresponding parts, and relating triangle congruence to real-life situations. Students will complete a table by providing the missing triangle congruence statements.

More Like This

Proving Triangle Congruence
10 questions
Isosceles Triangle Properties Proofs
5 questions
Congruente Vlakke Figuren en Driehoeken
8 questions
Use Quizgecko on...
Browser
Browser