unit 4 congruent triangles homework 3

• List of Lessons
• 1.1 Points, Lines, and Planes
• 1.2 Measuring Segments
• 1.3 Measuring Angles
• 1.4 Addition Postulate
• 1.5 Angle Pairs
• Unit 1 Review
• Unit 1 Algebra Review
• 2.1 Reasoning and Proof
• 2.2 Intro to Proofs
• 2.3 More with Proofs
• Unit 2 Review
• 3.1 Lines and Angles
• 3.2 Properties of Parallel Lines
• 3.3 Proving Lines Parallel
• 3.4 Parallel Lines and Triangles
• 3.5 Equations of Lines in the Coordinate Plane
• 3.6 Slopes of Parallel and Perpendicular Lines
• Unit 3 Review
• Unit 3 Algebra Review
• 4.1 Triangles
• 4.2 SSS and SAS
• 4.3 ASA and AAS
• 4.4 CPCTC and HL
• Unit 4 Review
• Unit 4 Algebra Review
• 5.1 Polygon Angles
• 5.2 Parallelogram Properties
• 5.3 Conditions for Parallelograms
• 5.4 Rhombuses and Rectangles
• 5.5 Conditions for Rhombuses and Rectangles
• 5.6 Kites and Trapezoids
• Unit 5 Review
• Unit 5 Algebra Skillz Review
• 6.1 Similar Figures
• 6.2 Prove Triangles Similar
• 6.3 Side Splitter Theorem
• Unit 6 Review
• Unit 6 Algebra Review
• Semester Exam Review
• 7.1 Pythagorean Theorem and Its Converse
• 7.2 Special Right Triangles I
• 7.3 Special Right Triangles II
• 7.4 Trig Ratios
• 7.5 Inverse Trig Functions
• Unit 7 Review
• Unit 7 Algebra Review
• 8.1 Transformations
• 8.2 Reflections
• 8.3 Rotations
• 9.1 Parallelograms and Triangles
• 9.2 Trapezoid, Kites, Rhombi
• 9.3 Regular Polygons
• 9.4 Circles and Arcs
• 9.5 Sectors and Segments
• Unit 9 Review
• Unit 9 Algebra Review
• 10.1 SA of Prisms and Cylinders
• 10.2 SA of Pyramids and Cones
• 10.3 Volume of Prisms and Cylinders
• 10.4 Volume of Pyramids and Cones
• 10.5 SA and Volume of Spheres
• Unit 10 Review
• Unit 10 Algebra Review
• 11.1 Tangents to Circles
• 11.2 Chords and Arcs
• 11.3 Intercepted Arcs
• 11.4 Secants and Tangents
• Unit 11 Review
• 12.1 Introduction to Probability
• 12.2 More Probability
• Unit 12 Review
• Unit 12 Algebra Review
• Semester 2 Exam Review
• Teacher Resources
• FlippedMath.com

• Constructions

Unit 4 Congruence in Triangles

In this unit, we will learn about the different types of triangles and the ways to determine triangle congruence.  We'll classify the different types of triangles, based on side lengths and angle measurements.  Next, we'll discuss congruence .  Congruent figures have the same shape and size.

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Congruent Triangles (Geometry Curriculum - Unit 4) | All Things Algebra®

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Description

This Congruent Triangles Unit Bundle contains guided notes, homework assignments, three quizzes, a study guide and a unit test that cover the following topics:

• Classifying Triangles by Sides and Angles

• Angles of Triangles: Triangle Angle Sum Theorem and Exterior Angle Theorem

• Isosceles and Equilateral Triangles

• Triangle Congruence: SSS and SAS

• Triangle Congruence: ASA and AAS

• Right Triangle Congruence: HL

• Mixed Review of Triangle Congruence

• Corresponding Parts of Congruent Triangles are Congruent (CPCTC)

Please download the preview to see a sample outline along with a collage of some of the pages.

ADDITIONAL COMPONENTS INCLUDED:

(1) Links to Instructional Videos: Links to videos of each lesson in the unit are included. Videos were created by fellow teachers for their students using the guided notes and shared in March 2020 when schools closed with no notice.  Please watch through first before sharing with your students. Many teachers still use these in emergency substitute situations. (2) Editable Assessments: Editable versions of each quiz and the unit test are included. PowerPoint is required to edit these files. Individual problems can be changed to create multiple versions of the assessment. The layout of the assessment itself is not editable. If your Equation Editor is incompatible with mine (I use MathType), simply delete my equation and insert your own.

(3) Google Slides Version of the PDF: The second page of the Video links document contains a link to a Google Slides version of the PDF. Each page is set to the background in Google Slides. There are no text boxes;  this is the PDF in Google Slides.  I am unable to do text boxes at this time but hope this saves you a step if you wish to use it in Slides instead! 

This resource is included in the following bundle(s):

Geometry First Semester Notes Bundle

Geometry Curriculum

Geometry Curriculum (with Activities)

More Geometry Units:

Unit 1 – Geometry Basics

Unit 2 – Logic and Proof

Unit 3 – Parallel and Perpendicular Lines

Unit 5 – Relationships in Triangles

Unit 6 – Similar Triangles

Unit 7 – Right Triangles and Trigonometry Unit 8 – Polygons and Quadrilaterals

Unit 9 – Transformations

Unit 10 – Circles

Unit 11 – Volume and Surface Area Unit 12 – Probability

LICENSING TERMS: This purchase includes a license for one teacher only for personal use in their classroom. Licenses are non-transferable , meaning they can not be passed from one teacher to another. No part of this resource is to be shared with colleagues or used by an entire grade level, school, or district without purchasing the proper number of licenses. If you are a coach, principal, or district interested in transferable licenses to accommodate yearly staff changes, please contact me for a quote at [email protected].

COPYRIGHT TERMS: This resource may not be uploaded to the internet in any form, including classroom/personal websites or network drives, unless the site is password protected and can only be accessed by students.

© All Things Algebra (Gina Wilson), 2012-present

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• H. Algebra II

Chapter 4: Congruent Triangles

This chapter we will classify triangles, find measures of angles of triangles, identify congruent figures, and prove triangles congruent.  They will also use theorems about isosceles and equilateral triangles  (McDougal -Littell 214).

Solutions/Worksheets:

Learning targets:.

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Geometry Unit 4 Homework #3

Mathematics.

25 questions

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An acute triangle has __________ angles that each measure less than 90°.

An isosceles triangle has _________ equal sides.

A right triangle has one angle that measures _______ and two acute angles.

less than 90°

more than 90°

An ____________ triangle has three equal sides.

equilateral

An obtuse triangle has one angle that measures _____________ 90°.

A _________ triangle has no equal sides.

• 7. Multiple Choice Edit 5 minutes 1 pt If a triangle has all angles less than 90° and two equal sides, what type of triangle is it? Acute Isosceles Acute Scalene Obtuse Scalene Obtuse Isosceles
• 8. Multiple Choice Edit 5 minutes 1 pt If a triangle has one angle greater than 90° and no equal sides, what type of triangle is it? Acute Isosceles Acute Scalene Obtuse Scalene Obtuse Isosceles
• 9. Multiple Choice Edit 5 minutes 1 pt If a triangle has one angle exactly 90° and two equal sides, what type of triangle is it? Right Isosceles Acute Scalene Obtuse Scalene Obtuse Isosceles
• 10. Multiple Choice Edit 5 minutes 1 pt If a triangle has all three angles equivalent and all three sides equivalent, what type of triangle is it? Acute Isosceles Equilateral Obtuse Scalene Obtuse Isosceles

Find the measure of the angle indicated.

Find the value of x?

What is the value

Use the distance formula to find the measure of the sides of LMN and classify it by its sides:

L(2,7) M(-4,2) N(3,-6)

5, 6.1, 2.8: Scalene

5, 10.2, 10.2: Isosceles

7.8, 10.6, 13.0: Scalene

6.4, 9.2, 6.4: Isosceles

Use the figure to find the measure of angle P.

Solve for x in the figure

In △ QRS, if m ∠ Q is two less than six times x,

m ∠ R is sixteen less than seven times x,

and m ∠ S is three times x plus 6.

What is the value of x?

What is the measure of ∠R?

What is the measure of ∠S?

What is the measure of ∠Q?

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Gina Wilson 2014 Unit 4 Congruent Triangles Answer Key

Gina Wilson 2014 Unit 4 Congruent Triangles Answer Key - Displaying top 8 worksheets found for this concept.

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Chapter 4 Congruent Triangles

• Chapter 5 Relationships Within Triangles
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Related Files

Chapter 4 Homework Packet

4-1 apply triangle sum properties, 4-2 apply congruence and triangles, 4-3 prove triangles congruent by sss, 4-4 prove triangles congruent by sas and hl, 4-5 prove triangles congruent by asa and aas, 4-6 using congruent triangles, 4-7 use isosceles and equilateral triangles, 4-8 perform congruence transformations.

Chapter 4 Review

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