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Browse all Geometry Problems of the Week
Participation in the Geometry Problems of the
Week allows teachers and students to address the
NCTM
Problem Solving Standard for Grades 912, enabling students to
build new mathematical knowledge through problem solving; solve problems
that arise in mathematics and in other contexts; apply and adapt a
variety of appropriate strategies to solve problems; and monitor and
reflect on the process of mathematical problem solving.
For background information elsewhere on our site, explore the
High School Geometry
area of the Ask Dr. Math archives. To find relevant
sites on the Web, browse and search
Geometry
in our Internet Mathematics Library.
Access to these problems requires a Membership.

What Do We Know About Tangents?
 Annie Fetter

Geometry, difficulty level 2. Given two externally tangent congruent circles, construct a segment from the center of one circle tangent to the other circle. If the length of this segment is 10, what's the radius of the circles?
... more>>

What's My Angle?
 Annie Fetter

Geometry, difficulty level 2. Given line AE, point C between A and E, ray CB perpendicular to line AE, and point D on the same side of AE as point B. If CD equals DE and angle CDE is x degrees, what is the angle measure of angle BCD?
... more>>

What's This Polygon?
 Annie Fetter

Geometry, difficulty level 4. Triangle PQR is inscribed in a circle. If PR is a side of a 21sided inscribed regular polygon, PQ is a side of a 28sided incribed regular polygon, and QR is a side of an nsided inscribed regular polyon, find a possible value for n.
... more>>

Where's J?
 Annie Fetter

Geometry, difficulty level 2. Given an isosceles triangle with one base vertex (O) on the origin, the other base vertex (J) on the positive xaxis, and the top vertex at the point (e,f), find the coordinates of J.
... more>>

Where's Juanita Walking?
 Lillian Ray and Annie Fetter

Geometry, difficulty level 4. Help Juanita figure out how many possible ways she could walk to work.
... more>>

Which Pizza?
 Annie Fetter

Geometry, difficulty level 2. Which is a better deal  a 16" diameter pizza for $11 or a 10" diameter pizza for $7?
... more>>

Whodunnit?
 Annie Fetter

Geometry, difficulty level 4. Determine which quadrilateral the witnesses saw running from the scene of the crime.
... more>>

Who Wants to be an Archery Champion?
 Annie Fetter

Geometry, difficulty level 2. To determine the winner, calculate the "string length" for each of two archery rounds.
... more>>

Why Does This Construction Work?
 Annie Fetter

Geometry, difficulty level 3. Explain why Desmond's construction works.
... more>>

Winning at Biathlon
 Annie Fetter

Geometry, difficulty level 3. Figure out which of two fictional biathletes will win a race.
... more>>

World Series Snafu?
 Annie Fetter

Geometry, difficulty level 2. Determine what's wrong with the "official" dimensions of "home plate" in baseball.
... more>>
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