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5.2 Medians & Altitudes* - Printable Math Worksheets 10th Grade - Wayground

5.2 Medians & Altitudes*

Michelle McMahan

Created by Michelle McMahan

13 questions

10th Grade

Math

Updated Jun 2026

The Grade 10 Mathematics worksheet “5.2 Medians & Altitudes” gives students focused practice with 13 multiple-choice questions about triangle special segments and related measurements. Students identify medians, angle bisectors, perpendicular bisectors, and altitudes from diagrams, select segments that represent medians or altitudes, determine segment and angle measures, and solve for unknown values. The worksheet also applies median and centroid relationships to side lengths, including problems in which students use equal segments or algebraic expressions to find a missing value. It reinforces that an altitude creates a right angle and asks students to connect geometric definitions to visual representations and calculations. This free printable worksheet is designed for Grade 10 math instruction, independent practice, review, or formative assessment, and includes a complete answer key for efficient checking.

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5.2 Medians & Altitudes*

Total questions: 13

Name
Class
Date
1.
Identify the special segment that's pictured:
Identify the special segment that's pictured: 
a)
Altitude
b)
Midsegment
c)
Median
d)
Angle Bisector
2.
Identify the special segment that's pictured:
Identify the special segment that's pictured: 
a)
Median
b)
Perpendicular Bisector
c)
Altitude
d)
Angle Bisector
3.
Identify the special segment that's pictured:
Identify the special segment that's pictured: 
a)
Altitude
b)
Perpendicular Bisector
c)
Median
d)
Midsegment
4.
Find the length of AD
Find the length of AD
a)
2
b)
4
c)
6
d)
8
5.
Which of the following segments represents a median?
Which of the following segments represents a median?
a)
BX
b)
AZ
c)
AC
d)
BZ
6.
Which of the following segments represents an altitude?
Which of the following segments represents an altitude?
a)
BX
b)
AZ
c)
AC
d)
BZ
7.
Find the measure of angle CAD .

Find the measure of angle CAD.

a)
Find the measure of angle CAD .
b)
Find the measure of angle CAD .
c)
Find the measure of angle CAD .
d)
Find the measure of angle CAD .
8.
CF, BE, and AD are the medians of the triangle. If BF =10, find AF.
CF, BE, and AD are the medians of the triangle. If BF =10, find AF.
a)
20
b)
10
c)
5
d)
Not Enough Information
9.
If G is the centroid of triangle ABC and AC= 32. Find the length of CE.
If G is the centroid of triangle ABC and AC= 32. Find the length of CE.
a)
16
b)
32
c)
48
d)
Not Enough Information
10.
HK is an altitude in ΔGHI. What is the measure of ∠HKG?
HK is an altitude in ΔGHI.
What is the measure of ∠HKG?
a)
60°
b)
180°
c)
90°
d)
360°
11.
HK is an altitude in ΔGHI. Find the value of x.
HK is an altitude in ΔGHI.
Find the value of x.
a)
90
b)
43.5
c)
24
d)
21
12.
Find AD

Find AD

a)

11

b)

22

c)

5.5

d)

3.67

13.
GT is the median. If FT is 3x + 8 and TE is 7x - 16, find the value of x

GT is the median. If FT is 3x + 8 and TE is 7x - 16, find the value of x

a)

6

b)

24

c)

9.8

d)

48

WaygroundAnswer Key

5.2 Medians & Altitudes*

Total questions: 13

1.
c) Median
2.
d) Angle Bisector
3.
b) Perpendicular Bisector
4.
d) 8
5.
d) BZ
6.
a) BX
7.
d)
8.
b) 10
9.
a) 16
10.
c) 90°
11.
d) 21
12.
a)

11

13.
a)

6

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FAQs

What does this Medians & Altitudes worksheet cover?

This Grade 10 worksheet contains 13 multiple-choice questions on identifying triangle special segments, especially medians and altitudes, while also distinguishing angle bisectors and perpendicular bisectors. Students use diagrams, midpoint and centroid relationships, right-angle information, and algebraic expressions to find missing segment lengths, angle measures, and values.

How can I use this worksheet to teach medians and altitudes?

Introduce the worksheet by reviewing how a median, altitude, angle bisector, and perpendicular bisector are identified in a triangle, then model one diagram-based identification item. Have students explain which defining feature they used before moving to the segment-length, right-angle, centroid, and algebra questions; this sequence connects visual recognition to calculation.

What mistakes should I watch for when students complete this worksheet?

Students may confuse a median with an altitude or angle bisector, so ask them to check whether the segment reaches a midpoint, creates a right angle, or bisects an angle. In the calculation items, watch for treating the two parts created by a median as unequal, overlooking the right angle formed by an altitude, or solving the algebraic expressions without setting the equal median segments or related lengths equal.

How do I assign and grade this Medians & Altitudes worksheet?

Wayground provides this worksheet as a printable PDF and as a digital quiz, with a complete answer key for all 13 multiple-choice questions. You can grade printable submissions by scanning student work with the Wayground for Teachers app, or use the digital quiz to collect responses electronically.

How can I differentiate this worksheet for my students?

In the worksheet’s Advanced Settings, adjust font spacing and font size to make the diagram-based multiple-choice items easier to read. You can also enable a dyslexia-friendly font or translate the worksheet into another language while students work with the median, altitude, centroid, and angle questions.

Where can I find more worksheets like this on Wayground?

Wayground offers a broad collection of free printable worksheets and practice problems across subjects, with downloadable PDFs and answer keys to help students master essential skills and concepts. Browse more resources at https://wayground.com/en-us/worksheets.

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