Points of Concurrency Practice
Authored by Catherine Davis
Mathematics
10th Grade
CCSS covered
Used 652+ times
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About
This quiz focuses on points of concurrency in triangles, a fundamental topic in high school geometry appropriate for grade 10 students. The questions systematically assess students' understanding of the four main points of concurrency: circumcenter, incenter, centroid, and orthocenter. Students must demonstrate their ability to identify the special segments that create each point of concurrency—perpendicular bisectors for the circumcenter, angle bisectors for the incenter, medians for the centroid, and altitudes for the orthocenter. The quiz requires students to understand the unique properties of each point, such as how the circumcenter is equidistant from the vertices, the incenter is equidistant from the sides, and the centroid divides medians in a 2:1 ratio. Students also need to apply these concepts to solve numerical problems involving distances and segment lengths, combining visual recognition skills with computational geometry. Created by Catherine Davis, a Mathematics teacher in the US who teaches grade 10. This quiz serves as an excellent formative assessment tool to gauge student mastery of triangle concurrency concepts before moving to more advanced geometric proofs. Teachers can use this as a warm-up activity to review key vocabulary and properties, assign it as homework for independent practice, or implement it as a review session before unit tests. The quiz's structure makes it particularly effective for identifying common misconceptions about which segments create which points of concurrency. This assessment aligns with Common Core standards G.C.3, which addresses constructions of circles and triangles, and G.CO.10, which covers proving geometric theorems about triangles, as students must understand the theoretical foundations behind these special points to answer correctly.
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30 questions
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1.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
The figure is an example of a(n) ...
Tags
CCSS.HSG.CO.C.10
2.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
The figure is an example of a(n) ...
Tags
CCSS.HSG.CO.C.10
3.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
The figure is an example of a(n) ...
Tags
CCSS.HSG.CO.C.10
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which point is equidistant from the vertices?
Tags
CCSS.HSG.C.A.3
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Name the point of concurrency shown.
Tags
CCSS.HSG.C.A.3
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Name the point of concurrency shown.
Tags
CCSS.HSG.C.A.3
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Find the length of PO.
Tags
CCSS.HSG.C.A.3
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