Free Printable WorksheetMathGrade 8Math Curriculum8.G.A.5

8.123 Using the Angle Angle Criterion for Triangle Similarity Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 8 Math worksheet provides structured practice on 8.123 Using the Angle Angle Criterion for Triangle Similarity. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

8.123 Using the Angle-Angle Criterion for Triangle Similarity - Which pair of triangles must be similar by the angle-angle criterion? (CCSS 8.G.A.5; CA 8.G.A.5; MA 8.G.A.5)

Whether you are an educator preparing classroom handouts, a tutor reinforcing weekly topics, or a parent supporting homeschool learning, this printable resource gives students the deliberate practice required to achieve subject fluency and master state standards.

Grade

Grade 8

Subject

Math

Domain

Math Curriculum

Formats

PDF & DOCX

Sample Practice Problems

Preview the types of problems and questions covered in this worksheet

Below are sample questions representative of the exercises included on this worksheet and related 8.123 Using the Angle Angle Criterion for Triangle Similarity skill assessments:

Problem 1Difficulty: Hard
Which statement about the angle-angle criterion is always true?
AIf two pairs of corresponding angles in two triangles are equal, then the triangles are similar and the third pair of angles is automatically equal.
BTwo triangles with one equal angle must be similar.
CTwo triangles are similar by AA only when they also have equal side lengths.
DAA can be used only for right triangles.
Solution & Explanation:AA says two matching corresponding angles are enough for similarity. The third angle then matches automatically because the angle sum is 180 degrees.
Problem 2Difficulty: Hard
In triangle ABC, D lies on AB and E lies on AC, with DE parallel to BC. Which angle pair is created by the parallel lines and helps prove triangle ADE ~ triangle ABC by AA?
Aangle AED = angle ACB
Bangle ADE = angle A
Cangle DAE = angle ABC
Dangle ADE = angle AED
Solution & Explanation:Because DE is parallel to BC, angle AED corresponds to angle ACB. That angle pair can be used with angle A to prove similarity by AA.
Problem 3Difficulty: Hard
If angle A = angle D and angle C = angle F, which angle pair must also be equal if triangle ABC and triangle DEF are similar by AA?
Aangle B = angle E
Bangle A = angle E
Cangle B = angle D
Dangle C = angle E
Solution & Explanation:Once two corresponding angle pairs match, the third pair must also match because each triangle sums to 180 degrees.

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QWhat grade level and standards does this worksheet align with?

This worksheet is designed specifically for Grade 8 Math students. It aligns with educational standard 8.G.A.5 (Primary standard selected for prompt fields: CCSS 8.G.A.5. Skill statement: Which pair of triangles must be similar by the angle-angle criterion? Associated standards listed with this skill: CCSS 8.G.A.5; CA 8.G.A.5; MA 8.G.A.5. Use this embedded wording as the best available supporting standard description for this workflow.).

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