Free Printable WorksheetMathGeometryMath CurriculumG-SRT.B.4-5

GEO.88 Triangle proportionality theorems with parallel lines Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Geometry Math worksheet provides structured practice on GEO.88 Triangle proportionality theorems with parallel lines. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

GEO.88 Triangle proportionality theorems with parallel lines - Primary standard selected for prompt fields in this prompt cell: CCSS G-SRT.B.4-5. Skill statement in this prompt cell: Select the proportional relationship that must be true when a line is parallel to a side of a triangle, and choose the correct missing segment length. Associated standards listed with this skill in the curriculum source: CCSS G-SRT.B.4-5; NY GEO G.G-SRT.B; MA G-SRT.B; FL MA.912.GR.1.2, 1.6. Use this prompt-provided wording as the supporting standard description for this workflow.

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

Geometry

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 GEO.88 Triangle proportionality theorems with parallel lines skill assessments:

Problem 1Difficulty: Mastery
A sail has the shape of triangle KLM. Seam NO is parallel to side LM; N is on KL and O is on KM. KN = 72 ft, NL = 54 ft, KO = x ft, and OM = 42 ft. Which relationship must be true, and what is KO?
AKN/NL = KO/OM; KO = 58 ft
BKN/NL = KO/OM; KO = 56 ft
CKN/OM = KO/NL; KO = 54 ft
DKN/NL = OM/KO; KO = 112 ft
Solution & Explanation:Since NO is parallel to LM, the two sides of triangle KLM are divided proportionally: KN/NL = KO/OM. Substitute the lengths to get 72/54 = 56/42. Solving the proportion gives KO = 56 ft.
Problem 2Difficulty: Mastery
A survey sketch forms triangle YZA. Point B lies on YZ, point C lies on YA, and BC is parallel to ZA. YB = 45 in, BZ = 30 in, BC = 33 in, and ZA = x in. Which proportion and value are correct?
ABC/ZA = YB/YZ; ZA = 59 in
BBC/ZA = BZ/YB; ZA = 51 in
CBC/ZA = YB/YZ; ZA = 55 in
DBC/ZA = YZ/YB; ZA = 110 in
Solution & Explanation:Since BC is parallel to ZA, triangle YBC is similar to triangle YZA. The matching side ratio is BC/ZA = YB/YZ. With YZ = 45 + 30 = 75, solving the proportion gives ZA = 55 in.
Problem 3Difficulty: Mastery
Triangle QRS has a line segment TU connecting side QR to side QS so that TU is parallel to RS. QT = 48 cm, TR = 32 cm, QU = 42 cm, and QS = x cm. Which option gives a true proportion and the missing length?
AQT/QR = QU/QS; QS = 73 cm
BQT/TR = QU/QS; QS = 67 cm
CTR/QR = QU/QS; QS = 112 cm
DQT/QR = QU/QS; QS = 70 cm
Solution & Explanation:Because TU is parallel to RS, the smaller triangle and larger triangle are similar, so QT/QR = QU/QS. Using the known side gives 48/80 = 42/QS. This gives QS = 70 cm.

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Frequently Asked Questions

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QIs this GEO.88 Triangle proportionality theorems with parallel lines worksheet free for teachers and homeschoolers?

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QWhat grade level and standards does this worksheet align with?

This worksheet is designed specifically for Geometry Math students. It aligns with educational standard G-SRT.B.4-5 (Primary standard selected for prompt fields in this prompt cell: CCSS G-SRT.B.4-5. Skill statement in this prompt cell: Select the proportional relationship that must be true when a line is parallel to a side of a triangle, and choose the correct missing segment length. Associated standards listed with this skill in the curriculum source: CCSS G-SRT.B.4-5; NY GEO G.G-SRT.B; MA G-SRT.B; FL MA.912.GR.1.2, 1.6. Use this prompt-provided wording as the supporting standard description for this workflow.).

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