unit 4 homework 3 geometry answers

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Classifying Triangles

6th -  8th  , 4th -  5th  , area of triangles, 5th -  6th  , special right triangles.

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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Geometry (all content)

Unit 1: lines, unit 2: angles, unit 3: shapes, unit 4: triangles, unit 5: quadrilaterals, unit 6: coordinate plane, unit 7: area and perimeter, unit 8: volume and surface area, unit 9: pythagorean theorem, unit 10: transformations, unit 11: congruence, unit 12: similarity, unit 13: trigonometry, unit 14: circles, unit 15: analytic geometry, unit 16: geometric constructions, unit 17: miscellaneous.

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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Geo.4 Right Triangle Trigonometry

In this unit students build an understanding of ratios in right triangles which leads to naming cosine, sine, and tangent as trigonometric ratios. Practicing without naming the ratios allows students to connect similarity, proportional reasoning, and scale factors to right triangles with a congruent acute angle before the calculator takes over some of the computation. Students encounter several contexts to both make sense of and apply right triangle measurement.

Angles and Steepness

• 1 Angles and Steepness
• 2 Half a Square
• 3 Half an Equilateral Triangle
• 4 Ratios in Right Triangles
• 5 Working with Ratios in Right Triangles

Defining Trigonometric Ratios

• 6 Working with Trigonometric Ratios
• 7 Applying Ratios in Right Triangles
• 8 Sine and Cosine in the Same Right Triangle
• 9 Using Trigonometric Ratios to Find Angles
• 10 Solving Problems with Trigonometry
• 11 Approximating Pi

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Everyday Mathematics for Parents: What You Need to Know to Help Your Child Succeed

The University of Chicago School Mathematics Project

University of Chicago Press

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