Unit 5 Geometry-Test
Authored by Jaime Sandoval
Mathematics
10th - 12th Grade
CCSS covered
Used 172+ times
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About
This quiz comprehensively covers triangle geometry at the high school level, specifically focusing on points of concurrency, triangle inequality theorem, and triangle relationships. Students need to understand the four main centers of triangles: circumcenter (intersection of perpendicular bisectors), incenter (intersection of angle bisectors), centroid (intersection of medians), and orthocenter (intersection of altitudes). They must know the properties of each center, such as how the circumcenter is equidistant from vertices and the centroid divides medians in a 2:1 ratio. Additionally, students work with midsegments, which are parallel to the third side and half its length, and apply the triangle inequality theorem to determine whether given side lengths can form valid triangles. The quiz also tests understanding of the relationship between side lengths and opposite angles, requiring students to identify the largest and smallest angles based on corresponding side measurements. Created by Jaime Sandoval, a Mathematics teacher in the US who teaches grades 10 and 12. This assessment serves as an excellent unit test for triangle geometry concepts and can be effectively used for comprehensive review before major examinations or as a summative assessment following instruction on triangle centers and properties. Teachers can utilize individual sections for targeted practice sessions, such as focusing solely on points of concurrency during warm-up activities or using the triangle inequality questions for homework assignments. The quiz format makes it ideal for formative assessment, allowing educators to quickly identify which specific concepts need reinforcement before moving to more advanced geometric theorems. This material aligns with Common Core standards G-CO.10 (prove theorems about triangles) and G-C.3 (construct inscribed and circumscribed circles), supporting students' development of geometric reasoning and proof-writing skills essential for advanced mathematics courses.
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34 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which point is equidistant from the vertices?
Tags
CCSS.HSG.C.A.3
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Name the point of concurrency shown.
Tags
CCSS.HSG.C.A.3
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Find the length of PO.
Tags
CCSS.HSG.C.A.3
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
If G is the centroid of triangle ABC and GF= 4. Find the length of GC.
Tags
CCSS.HSG.CO.C.10
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
If G is the centroid of triangle ABC and GE= 7. Find the length of BE.
Tags
CCSS.HSG.CO.C.10
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Name the point of concurrency shown.
Tags
CCSS.HSG.C.A.3
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Name the point of concurrency shown.
Tags
CCSS.HSG.C.A.3
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