Relationships in Triangles
Authored by Kay McArthur
Mathematics
9th - 12th Grade
CCSS covered
Used 200+ times
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About
This quiz thoroughly examines relationships in triangles, a core topic in high school geometry appropriate for grades 9-12. The questions assess students' understanding of special segments and points of concurrency within triangles, including angle bisectors, perpendicular bisectors, medians, altitudes, and midsegments. Students must identify the four centers of triangles (circumcenter, incenter, centroid, and orthocenter) and understand their unique properties, particularly the centroid's division of medians in a 2:1 ratio. The quiz also covers fundamental triangle inequality concepts, requiring students to determine whether given side lengths can form valid triangles and to find possible ranges for unknown sides. Advanced topics include ordering sides and angles by size based on the relationship between angle measures and opposite side lengths, as well as applying the hinge theorem to compare angles and sides in different triangles. Students need strong visual-spatial reasoning skills to interpret geometric diagrams and solid computational abilities to solve problems involving proportional relationships and inequalities. Created by Kay McArthur, a Mathematics teacher in US who teaches grade 9-12. This comprehensive assessment serves multiple instructional purposes, from introducing new concepts through guided practice to evaluating student mastery of triangle relationships. Teachers can use individual sections as warm-up activities to review specific concepts like the triangle inequality theorem, or deploy the entire quiz as a summative assessment following a unit on triangle properties. The varied question formats make it excellent for differentiated instruction, allowing students to progress from basic identification of triangle parts to more complex applications of theorems. This quiz aligns with Common Core standards G-CO.10 (triangle theorems), G-SRT.5 (triangle congruence and similarity), and supports Mathematical Practice standards MP.3 (construct viable arguments) and MP.6 (attend to precision) as students analyze geometric relationships and justify their reasoning about triangle properties.
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26 questions
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1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
The figure is an example of a(n) ...
Tags
CCSS.HSG.CO.C.10
CCSS.HSG.CO.C.9
CCSS.HSG.CO.A.1
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
The figure is an example of a(n) ...
Tags
CCSS.HSG.CO.C.10
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
The figure is an example of a(n) ...
Tags
CCSS.HSG.CO.C.9
CCSS.HSG.CO.D.12
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Identify the center
Circumcenter
Incenter
Centroid
Orthocenter
Tags
CCSS.HSG.C.A.3
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Identify the center.
Circumcenter
Incenter
Centroid
Orthocenter
Tags
CCSS.HSG.C.A.3
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Identify the center.
Circumcenter
Incenter
Centroid
Orthocenter
Tags
CCSS.HSG.C.A.3
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Identify the center.
Circumcenter
Incenter
Centroid
Orthocenter
Tags
CCSS.HSG.C.A.3
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