Skip to main content
DASD
English (en)
English - United States (en_us)
English (en)
You are currently using guest access (
Log in
)
Boyd - Geometry
Home
Courses
High School
Math
Boyd_Geometry
Topic 11
Answer Key for Practice 12-5
Answer Key for Practice 12-5
Completion requirements
Click
Answer Key for Practice 12-5.pdf
link to view the file.
◄ Practice worksheet for lesson 12-5
Jump to...
Jump to...
Click here to download Adobe reader to view worksheets and notes
Textbook Resources
Geometry videos and extra resources
Free math tutorials and practice problems on Khan Academy
Video for Lesson 1-2: Points, Lines, and Planes
Notes for lesson 1-2
Practice worksheet for lesson 1-2
Answer key for 1-2 practice worksheet
Video for lesson 1-3: Segments, Rays, and Distance
Notes for Lesson 1-3
Example problems for lesson 1-3
Practice worksheet for lesson 1-3
Answer key for 1-3 practice worksheet
Video for lesson 1-4: Angles (Naming Angles)
Video for lesson 1-4: Angles (Measuring Angles with a Protractor)
Video for lesson 1-4: Angles (types of angles)
Notes for lesson 1-4
Example Problems for lesson 1-4
Practice worksheet for lesson 1-4
Answer key for 1-4 practice worksheet
Notes for lesson 1-5
Practice worksheet for lesson 1-5
Answer Key for 1-5 practice worksheet
Chapter 1: Naming points, lines, planes, and angles
Chapter 1 review
Unit 2 practice worksheet answer keys
Video for lesson 2-1: If-Then Statements; Converses
Notes for lesson 2-1
Practice worksheet for lesson 2-1
Answer key for 2-1 practice worksheet
Notes for lesson 2-2
Practice worksheet for lesson 2-2
Answer key for 2-2 practice worksheet
Notes for lesson 2-3
Practice worksheet for lesson 2-3
Answer key for 2-3 practice worksheet
Review of lessons 2-1 through 2-3
Video for lesson 2-4: Special Pairs of Angles (Vertical Angles)
Video for Lesson 2-4: Special Pairs of Angles (Complementary and Supplementary Angles)
Notes for lesson 2-4
Practice worksheet for lesson 2-4
Practice worksheet for lesson 2-4 part II
Answer keys for 2-4 and 2-4 part II Practice Worksheets
Video for Lesson 2-5: Perpendicular Lines
Lesson 2-5 Activity
Notes for lesson 2-5
Practice worksheet for lesson 2-5
Answer key for 2-5 Practice worksheet
Notes for lesson 2-6
Practice proofs for lesson 2-6
Answer key for practice proofs
Chapter 2 review
Extra Chapter 2 practice sheet
Video for Lesson 3-1: Definitions (Parallel and Skew Lines)
Parallel Lines Activity
Notes for lesson 3-1
Practice worksheet for lesson 3-1
Answer Key for Practice 3-1
Video for Lesson 3-2: Properties of Parallel Lines (adjacent angles, vertical angles, and corresponding angles)
Video for lesson 3-2: Properties of Parallel Lines (alternate and same side interior angles)
Notes for lesson 3-2
Practice worksheet for lesson 3-2
Answer key for 3-2 practice worksheet
Notes for lesson 3-3
Practice worksheet for lesson 3-3
Answer key for 3-3 practice worksheet
Practice worksheet for lessons 3-2 and 3-3
Answer key for 3-2 and 3-3 worksheet
Review for lessons 3-1 through 3-3
Video for Lesson 3-4: Angles of a Triangle (Types of Triangles)
Notes for lesson 3-4 (part I)
Practice worksheet for lesson 3-4 (part I)
Answer Key for 3-4 practice worksheet (part I)
Video for Lesson 3-4: Angles of Triangle (Triangle sum theorem)
Video for Lesson 3-4: Angles of a Triangle (exterior angles)
Notes for lesson 3-4 (part II)
Practice worksheet for lesson 3-4 (part II)
Answer key for 3-4 practice worksheet (part II)
Video for Lesson 6-4: Inequalities for One Triangle (Triangle Inequality Theorem)
Activity and notes for lesson 6-4
Practice worksheet for lesson 6-4
Answer key for 6-4 practice worksheet
Video for lesson 3-5: Angles of Polygons (types of polygons)
Video for Lesson 3-5: Angles of Polygons (formulas for interior and exterior angles)
Notes for lesson 3-5
Practice worksheet for lesson 3-5
Answer key for 3-5 practice worksheet
Notes for lesson 3-6
Practice worksheet for lesson 3-6
Answer key for 3-6 practice worksheet
Chapter 3 and lesson 6-4 review
Video for lesson 4-1: Congruent Figures
Notes for lesson 4-1
Practice worksheet for lesson 4-1
Answer key for 4-1 practice worksheet
Video for Lesson 4-2: Some Ways to Prove Triangles Congruent (SSS, SAS, ASA)
Notes for lesson 4-2
Practice worksheet for lesson 4-2
Answer key for 4-2 practice worksheet
Lesson 4-3 Proofs for congruent triangles
Triangle congruence practice
Video for Lesson 4-4: The Isoceles Triangle Theorems
Notes for lesson 4-4
Practice worksheet for lesson 4-4
Answer key for 4-4 practice worksheet
Video for Lesson 4-5: Other Methods of Proving Triangles Congruent (AAS)
Video for Lesson 4-5: Other Methods of Proving Triangles Congruent (HL)
Notes for lesson 4-5
Practice worksheet for lesson 4-5
Answer key for 4-5 practice worksheet
Virtual practice with congruent triangles
Review for lessons 4-1, 4-2, and 4-5
Video for lesson 4-7: Angle bisectors, medians, and altitudes
Notes for lesson 4-7 (part I)
Practice worksheet for lesson 4-7 (part I)
Answer key for 4-7 practice worksheet (part I)
Notes for lesson 4-7 (part II)
Practice worksheet for lesson 4-7 (part II)
Answer key for 4-7 practice worksheet (part II)
Chapter 4 review
Online practice for triangle congruence proofs
Video for lesson 5-1: Parallelograms
The quadrilateral family tree (5-1)
The quadrilateral properties chart (5-1)
Practice worksheet for lesson 5-1 and 5-2
Answer key for 5-1 and 5-2 practice worksheet
Video for lesson 5-3: Midsegments of trapezoids and triangles
Notes for lesson 5-3
Practice worksheet for lesson 5-3
Answer key for 5-3 practice worksheet
Video for lesson 5-4: Properties of rhombuses, rectangles, and squares
Notes for lesson 5-4
Practice worksheet for lesson 5-4
Answer key for Practice Worksheet 5-4
Review for lessons 5-1, 5-2, and 5-4
Song about parallelograms for review of properties
Video for lesson 5-5: Properties of trapezoids
Notes for lesson 5-5
Practice worksheet for lesson 5-5
Answer key for 5-5 practice worksheet
Chapter 5 review
Link to the website for enrichment practice proofs
Video for lessons 7-1 and 7-2: Ratios and Proportions
Notes for lesson 7-1 and 7-2
Practice worksheet for lessons 7-1 and 7-2
Notes for lesson 7-1
Practice worksheet for lesson 7-1
Notes for lesson 7-2
Practice worksheet for lesson 7-2
Answer key for 7-1 and 7-2 practice worksheet
Video for Lesson 7-3: Similar Triangles and Polygons
Notes for lesson 7-3
Practice worksheet for lesson 7-3
Answer key for 7-3 practice worksheet
Review for lessons 7-1 through 7-3
Notes for lesson 7-4
Practice worksheet for lesson 7-4
Answer key for 7-4 worksheet
Video for lesson 7-6: Proportional lengths for similar triangles
Notes for lessson 7-6
Practice worksheet for lesson 7-6
Answer key for 7-6 practice worksheet
Review of 7-1, 7-2, 7-3, and 7-6
Video for lesson 8-1: Similar triangles from an altitude drawn from the right angle of a right triangle
Notes for lesson 8-1
Practice worksheet for lesson 8-1
Answer Key for 8-1 (part I) worksheet
Notes for lesson 8-1 (part II)
Practice worksheet for lesson 8-1 (part II)
Answer Key for Practice Worksheet 8-1 (part II)
Video for lesson 8-2: The Pythagorean theorem
Notes for lesson 8-2
Practice worksheet for lesson 8-2
Answer key for 8-2 practice worksheet
Algebra problems for the Pythagorean Theorem
Video for lesson 8-3: The converse of the Pythagorean theorem
Activity and notes for lesson 8-3
Practice worksheet for lesson 8-3
Answer key for 8-3 practice worksheet
Video for lesson 8-4: working with 45-45-90 and 30-60-90 triangle ratios
Notes for lesson 8-4
Practice worksheet for lesson 8-4
Answer Key for Practice Worksheet 8-4
Review for lessons 8-1 through 8-4
Video for lesson 8-5 and 8-6: using the Tangent, Sine, and Cosine ratios
Activity and notes for lesson 8-5
Notes for cosine function
Notes for sine function
Practice worksheet for lesson 8-5 and 8-6
Answer Key for Practice Worksheet 8-5 and 8-6
Video for lesson 8-7: Applications of trig functions
Video for lesson 8-7: Angles of elevation and depression
Notes for lesson 8-7
Practice worksheet for lesson 8-7
Answer Key for 8-7 worksheet
Review for chapter 8
Virtual practice with Pythagorean Theorem and using Trig Functions
Video for lesson 9-1: Basic Terms of Circles
Notes for lesson 9-1
Practice worksheet for lesson 9-1
Answer Key for Practice 9-1
Video for lesson 9-2: Tangents of a circle
Notes for lesson 9-2
Practice worksheet for lesson 9-2
Answer Key for Lesson 9-2
Video for lesson 9-3: Arcs and central angles of circles
Notes for lesson 9-3
Practice worksheet for lesson 9-3
Answer Key for Lesson 9-3
Review worksheet for lessons 9-1 through 9-3
Video for lesson 9-4: Arcs and chords
Notes for lesson 9-4
Practice worksheet for lesson 9-4
Answer Key for Practice Worksheet 9-4
Video for lesson 9-5: Inscribed angles
Notes for lesson 9-5
Practice worksheet for lesson 9-5
Answer Key for Practice Worksheet 9-5
Review for quiz on 9-1, 9-2, 9-3, and 9-5
Video for lesson 9-6: Angles formed inside a circle but not at the center
Video for lesson 9-6: Angles formed outside a circle
Notes for lesson 9-6
Practice worksheet for lesson 9-6
Answer Key for Practice Worksheet 9-6
Video for lesson 9-7: Finding lengths of intersecting chords
Video for lesson 9-7: Finding lengths of secants
Video for lesson 9-7: Finding the lengths of intersecting tangents and secants
Notes for lesson 9-7
Practice worksheet for lesson 9-7
Answer Key for 9-7
Chapter 9 circle dilemma problem (diagram)
Chapter 9 circle dilemma problem (info and answer sheet)
Review for chapter 9
Video for lesson 11-1: Finding perimeters of irregular shapes
Video for lesson 11-1: Area of rectangles
Notes for lesson 11-1
Practice worksheet for lesson 11-1
Answer Key for Practice Worksheet 11-1
Video for lesson 11-2: Areas of parallelograms
Video for lesson 11-2: Areas of triangles
Video for lesson 11-2: Areas of rhombuses
Video for lesson 11-2: Finding the area of irregular shapes (rectangles and triangles)
Video for lesson 11-3: Areas of trapezoids
Notes for lesson 11-2 and 11-3
Practice worksheet for lessons 11-2 and 11-3
Answer Key for 11-2 and 11-3
Video for lesson 11-4: Areas of regular polygons
Notes for lesson 11-4
Practice worksheet for lesson 11-4
Answer Key for Lesson 11-4
Video for lesson 11-5: Circumference of circles
Video for lesson 11-5: Areas of circles
Video for lesson 11-5: Areas between circles and squares
Video for lesson 11-5: Finding the area of irregular figures (circles and trapezoids)
Video for lesson 11-6: Arc lengths
Video for lesson 11-6: Areas of sectors
Notes for lesson 11-5 and 11-6
Practice worksheet for lessons 11-5 and 11-6
Answer Key for 11-5 and 11-6
Video for lesson 11-7: Ratios of perimeters and areas
Notes for lesson 11-7
Practice worksheet for lesson 11-7
Answer Key for Lesson 11-7
Video for lesson 11-8: Finding geometric probabilities using area
Video for lesson 12-1: Finding surface area of a rectangular prism
Video for lesson 12-1: Finding the surface area of a triangular prism
Video for lesson 12-1: Finding the volume of prisms
Video for lesson 12-2: Applications for finding the volume of a prism
Notes for lesson 12-1
Practice worksheet for lesson 12-1
Video for lesson 12-2: Finding the surface area of a pyramid
Video for lesson 12-2: Finding the volume of a pyramid
Notes for lesson 12-2
Practice worksheet for lesson 12-2
Answer Key for 12-2
Video for lesson 12-3: Finding the surface area of a cylinder
Video for lesson 12-3: Finding the volume of a cylinder
Video for lesson 12-3: Finding the surface area of cones
Video for lesson 12-3: Finding the volume of a cone
Notes for lesson 12-3
Practice worksheet for lesson 12-3
Answer Key for 12-3 and 12-4
Video for lesson 12-4: Finding the surface area and volume of a sphere
Video for lesson 12-4: Finding the surface area of composite figures
Notes for 12-4
Practice worksheet for 12-4
Answer Key for Practice 12-4
Video for lesson 12-5: Finding area and volume of similar figures
Notes for lesson 12-5
Practice worksheet for lesson 12-5
Answer Key for Pyramid Worksheet
Answer Key for Prism Worksheet
Video for lesson 13-1: Using the distance formula to find length
Video for lesson 13-1: Finding the center and radius of a circle using its equation
Video for lesson 13-5: Finding the midpoint of a segment using the midpoint formula
Practice worksheet for lessons 13-1 and 13-5 (due Friday, January 20)
Extra practice with 13-1 and 13-5 (due Tuesday, January 24)
Video for lesson 13-2: Finding the slope of a line given two points
Video for lesson 13-3: Identifying parallel and perpendicular lines by their slopes
Practice worksheet for lessons 13-2 and 13-3 (due Wednesday, January 25)
Video for lesson 13-6: Graphing a linear equation in standard form
Video for lesson 13-6: Graphing lines using slope-intercept form of an equation
Application problems for 13-2, 13-3, and 13-6 (due Monday, January 30)
Review for unit 8 (Test A Monday)
Answer key for the unit 8 review
Formula sheet for unit 8 test
Answer Key for Pyramid Worksheet ►