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NC Math 2 · Mathematics

Proving Relationships About Lines and Angles | NC Math 2

A 134-page NC Math 2 resource focused on proving relationships about lines and angles. Includes 30 multiple-choice and 30 open-response tasks, teaching guidance, student workspaces, and worked answer keys.

Required materials: Pencils, straightedge, equal-unit graph paper or supplied grids, tracing paper, compass and protractor. Movable diagrams or accessible dynamic geometry can illustrate mappings and perpendicular feet; no paid software is needed. Keep point and ray labels explicit so color is never the only identifier.

Formats
PDF + ZIP · 134 main pages
Lesson time
Suggested three-session pathway; flexible task selection across additional meetings.
Includes
Teacher guidance + answer guidance

$7.99 USD

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One-time purchase · Single-teacher license
Printable PDF. Account required for purchase and download.

Questions about this resource? Contact support.

RESOURCE PREVIEW

See what you’re buying

Complete 134-page preview in reading order. The customer ZIP includes the clean printable PDF only; no editable file is included.

Sample 1 from Proving Relationships About Lines and Angles | NC Math 2
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How this resource helps

Build understanding through warm-ups, teacher modeling, guided practice, collaborative practice, independent work, targeted reteaching, and exit tickets. A suggested three-session teaching path organizes learning targets and task selection; the full 60-task bank is reusable across additional meetings and is not a requirement to complete every task in three days. Each task is mapped to a learning target. Teacher keys explain reasoning, and multiple-choice keys discuss all answer alternatives. This course-based high-school NC Math 2 packet is not restricted to a single grade. Customer ZIP contains the same approved PDF only. No editable Word file is included. All 134 pages are available in the preview.

What’s Included

  • 134-page printable PDF
  • 30 multiple-choice tasks with answer explanations and distractor checks
  • 30 open-response tasks with worked solutions and assessment guidance
  • Suggested three-session learning-target pathway
  • Seven instructional sections with teaching scripts
  • Worked teacher model, visual anchor, and reusable reasoning organizer
  • Student response space and coordinate diagrams where applicable
  • Evidence-based scoring guidance and learner record
  • Source alignment and attribution

Resource details

Grade / course
NC Math 2
Subject and resource type
Mathematics · Worksheet packet
Files
134 main PDF pages · PDF + ZIP
Estimated completion time
Suggested three-session pathway; flexible task selection across additional meetings.
Answer key
Worked teacher keys are included. Collect independent student responses before revealing answers; multiple-choice keys explain every option, and open-response keys identify evidence to assess.

Standard or objective

NC.M2.G-CO.9 Prove vertical angles congruent using shared supplements and apply the relationship in intersecting-line figures. Prove and apply alternate-interior-angle congruence when a transversal crosses explicitly parallel lines. Prove corresponding-angle congruence by rigid-motion reasoning and apply it with the necessary parallel-line hypothesis. Prove both directions of the perpendicular-bisector biconditional, including the midpoint case, and use the equidistant-point locus. Use congruent triangles to prove and apply equal perpendicular distances from an internal angle bisector to the sides. Course-based high-school standard; not assigned to a single grade.

Printing and preparation

Print on US Letter paper at actual size. Separate student practice and assessment from the teacher guide and key. Review the model and prepare needed support materials.

License

Single-teacher license. Print and use with your own students, including a password-protected classroom platform. Do not resell, redistribute, share with other educators, or post files publicly. Contact support for school or team licensing. Full store license applies. See the full license.

Search tags

NC.M2.G-CO.9 · NC Math 2 · Geometry · Lines and angles · Proof