Incenter Practice
Authored by Melissa Pfaltzgraff
Mathematics
10th Grade
CCSS covered
Used 64+ times
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About
This quiz focuses on the incenter of a triangle, a fundamental concept in high school geometry appropriate for grade 10 students. The questions assess students' understanding of the incenter as the intersection point of the three angle bisectors of a triangle, requiring knowledge of angle bisector properties and the unique characteristic that the incenter is equidistant from all three sides of the triangle. Students must demonstrate both conceptual understanding through definitions and visual recognition, as well as computational skills by applying the angle bisector theorem to solve for specific angle measures. The problems require students to distinguish between different triangle centers (incenter versus circumcenter), identify geometric constructions in diagrams, and use the relationship between angle bisectors and the angles they bisect to perform calculations involving angle measures. Created by Melissa Pfaltzgraff, a Mathematics teacher in US who teaches grade 10. This quiz serves as an excellent tool for introducing, practicing, or reviewing the properties of triangle incenters and can be effectively used as a warm-up activity, homework assignment, or formative assessment to gauge student understanding. The questions progress from basic definitions to more complex applications, making it ideal for checking comprehension after initial instruction or as review material before summative assessments. Teachers can use this quiz to identify students who may need additional support with angle bisector concepts or those ready for more advanced triangle center problems. The quiz aligns with geometry standards G.C.3 (construct inscribed and circumscribed circles of a triangle) and G.CO.12 (make formal geometric constructions), as students must understand the foundational concepts behind constructing incircles and working with angle bisectors in triangular figures.
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8 questions
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1.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
Define: INCENTER OF A TRIANGLE
Tags
CCSS.HSG.C.A.3
2.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
Which of the images represents the Incenter of a Triangle
Tags
CCSS.HSG.C.A.3
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which point is equidistant from the sides?
Tags
CCSS.HSG.C.A.3
4.
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.D.12
5.
MULTIPLE CHOICE QUESTION
45 sec • 1 pt
If m∠CAP = 34° , find ∠CAB.
Tags
CCSS.HSG.C.A.3
6.
MULTIPLE CHOICE QUESTION
45 sec • 1 pt
HK and JK are angle bisectors of the triangle. Find the distance from K to side GJ.
Tags
CCSS.HSG.C.A.3
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
The incenter of a triangle is equidistant from the __________ of a triangle.
Tags
CCSS.HSG.C.A.3
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