Circumcenter and Incenter practice
Authored by Karen Creech
Mathematics
9th - 10th Grade
CCSS covered
Used 350+ times
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About
This quiz focuses on the circumcenter and incenter of triangles, which are fundamental concepts in triangle geometry typically taught in high school Geometry courses at the 9th or 10th grade level. Students must understand the definitions and properties of these special points of concurrency, recognizing that the circumcenter is formed by the intersection of perpendicular bisectors while the incenter is created by the intersection of angle bisectors. The problems assess students' ability to distinguish between these two centers, calculate distances and angle measures using their properties, and apply the key principle that the circumcenter is equidistant from the triangle's vertices while the incenter is equidistant from the triangle's sides. Success requires mastery of angle bisector theorems, perpendicular bisector properties, and the ability to work with geometric relationships involving congruent segments and angles. Created by Karen Creech, a Mathematics teacher in the US who teaches grades 9-10. This comprehensive practice quiz serves multiple instructional purposes, from introducing students to points of concurrency through guided practice problems to providing formative assessment opportunities that help teachers identify student misconceptions about triangle centers. The varied question types—including definitions, visual identification, and computational problems—make it ideal for classroom warm-ups, homework assignments, or review sessions before assessments. Teachers can use this quiz to reinforce learning after direct instruction on triangle centers or as a diagnostic tool to determine student readiness for more advanced topics in triangle geometry. The content directly supports Common Core standards G.C.3 (construct inscribed and circumscribed circles) and aligns with geometry standards focusing on triangle properties and points of concurrency.
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20 questions
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1.
MULTIPLE CHOICE QUESTION
45 sec • 1 pt
Circumcenter and Incenter are these of a triangle
Tags
CCSS.HSG.C.A.3
2.
MULTIPLE CHOICE QUESTION
45 sec • 1 pt
Define: CIRCUMCENTER OF A TRAINGLE
Tags
CCSS.HSG.C.A.3
3.
MULTIPLE CHOICE QUESTION
45 sec • 1 pt
Define: INCENTER OF A TRIANGLE
Tags
CCSS.HSG.C.A.3
4.
MULTIPLE CHOICE QUESTION
45 sec • 1 pt
Which of the images represents the Circumcenter of a Triangle
Tags
CCSS.HSG.C.A.3
5.
MULTIPLE CHOICE QUESTION
45 sec • 1 pt
Which of the images represents the Incenter of a Triangle
Tags
CCSS.HSG.C.A.3
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Which point is equidistant from the vertices?
Tags
CCSS.HSG.C.A.3
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Which point is equidistant from the sides?
Tags
CCSS.HSG.C.A.3
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