Points of Concurrency
Authored by Lisa Della Rocco
Mathematics
8th - 10th Grade
CCSS covered
Used 44+ times
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About
This quiz comprehensively covers points of concurrency in triangles, a fundamental topic in high school geometry typically taught at the 10th grade level. Students need to master the definitions and properties of four critical points: the circumcenter (intersection of perpendicular bisectors), incenter (intersection of angle bisectors), centroid (intersection of medians), and orthocenter (intersection of altitudes). The questions require students to identify each point based on the lines that create them, understand their unique properties such as equidistance relationships, and apply coordinate geometry skills to calculate distances. Students must also grasp advanced concepts like the centroid's 2:1 division ratio of medians, the positional behavior of these points in different triangle types, and special cases such as where the circumcenter and orthocenter are located in right triangles. The computational problems demand algebraic manipulation and the application of distance formulas, making this a rigorous assessment of both conceptual understanding and mathematical reasoning. Created by Lisa Della Rocco, a Mathematics teacher in US who teaches grade 8 and 10. This quiz serves as an excellent comprehensive assessment tool for reinforcing triangle concurrency concepts through varied question formats that build from basic identification to complex problem-solving. Teachers can utilize this assessment for formative evaluation during the geometry unit, as a review tool before summative tests, or as homework to strengthen students' understanding of these interconnected concepts. The quiz works particularly well as a warm-up activity when broken into smaller sections, allowing students to focus on one type of concurrency at a time before synthesizing their knowledge. The blend of definitional, visual, and computational questions makes it ideal for differentiated instruction, supporting both students who learn through memorization and those who excel at applied problem-solving. This assessment aligns with Common Core standards G.CO.10 and G.C.3, which focus on triangle properties and geometric constructions.
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26 questions
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1.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
When you draw the perpendicular bisectors of a triangle it creates the point of concurrency called the _____________.
Tags
CCSS.HSG.C.A.3
2.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
When you draw the medians of a triangle it creates the point of concurrency called the _____________.
Tags
CCSS.HSG.CO.C.10
3.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
The figure is an example of a(n) ...
Tags
CCSS.HSG.CO.C.10
CCSS.HSG.CO.A.1
CCSS.HSG.CO.C.9
4.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
The three altitudes of a triangle intersect at the___________________.
Tags
CCSS.HSG.CO.C.10
5.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
The incenter of a triangle is equidistant from the __________ of a triangle.
Tags
CCSS.HSG.C.A.3
6.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
The image show which point of concurrency
Tags
CCSS.HSG.C.A.3
7.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
The circumcenter is _________________ in the triangle.
Tags
CCSS.HSG.C.A.3
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