Medians, Altitudes and Perpendicular Bisectors
Authored by Eric Simpson
Mathematics
9th - 10th Grade
CCSS covered
Used 322+ times
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About
This quiz focuses on triangle geometry, specifically covering the four special segments and lines associated with triangles: medians, altitudes, perpendicular bisectors, and angle bisectors. Designed for 9th to 10th grade students studying high school geometry, the assessment evaluates students' understanding of geometric definitions, their ability to identify these special segments in diagrams, and their skills in applying properties to solve for unknown measurements. Students need a solid foundation in coordinate geometry, angle relationships, and triangle properties to succeed on this quiz. The problems require students to distinguish between segments that connect vertices to midpoints (medians), segments that form right angles with sides (altitudes and perpendicular bisectors), and segments that divide angles into equal parts (angle bisectors). Additionally, students must apply algebraic reasoning to calculate specific angle measures and segment lengths using the unique properties of these special triangle elements. Created by Eric Simpson, a Mathematics teacher in the US who teaches grades 9-10. This quiz serves as an excellent formative assessment tool to gauge student comprehension of fundamental triangle geometry concepts before advancing to more complex theorems and proofs. Teachers can utilize this assessment as a warm-up activity to activate prior knowledge, assign it as homework to reinforce classroom instruction, or implement it as a review session before unit examinations. The varied question types—from basic definition matching to applied problem-solving—make it versatile for differentiated instruction and allow educators to identify specific areas where students need additional support. This content aligns with Common Core standards G-CO.10 (proving theorems about triangles) and G-CO.12 (making formal geometric constructions), as students demonstrate understanding of the geometric relationships that form the foundation for triangle congruence and similarity proofs.
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20 questions
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1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
segment with endpoints being a vertex of and the midpoint of the opposite side.
Tags
CCSS.HSG.CO.C.10
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A line, segment, or ray that passes through the midpoint of a side that is perpendicular to that side.
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Find the measure of Angle NJZ
Tags
CCSS.8.G.A.5
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Find the measure of QA
Tags
CCSS.7.G.B.5
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
An angle bisector of a triangle is a line segment that
Bisects a segment at a 90 degree angle
Bisects an angle
Connects a vertex of a triangle with the midpoint of the opposite side
Connects a vertex of a triangle with the opposite side at a 90 degree angle
Tags
CCSS.HSG.CO.C.9
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A perpendicular bisector of a triangle is a line segment that
Bisects a segment at a 90 degree angle
Bisects an angle
Connects a vertex of a triangle with the midpoint of the opposite side
Connects a vertex of a triangle with the opposite side at a 90 degree angle
Tags
CCSS.HSG.CO.C.9
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
An altitude of a triangle is a line segment that
Bisects a segment at a 90 degree angle
Bisects an angle
Connects a vertex of a triangle with the midpoint of the opposite side
Connects a vertex of a triangle with the opposite side at a 90 degree angle
Tags
CCSS.HSG.CO.A.1
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