#### Score bar

Your learning graph should look something like this by now. The score bar above shows how many of the possible points you have achieved so far. The points from the challenge tasks are displayed separately from those from the main and support tasks, since support tasks shall only compensate for the lost points from main tasks. Tasks of the type "information station" like this one do not provide any points since no solution is entered.

# Unassigned

Learning
5

#### Fill in the Blanks: Angle theorems

The image shows two parallel straight lines intersected by a third line. Fill in the blanks below in order to determine the size of angle $\beta$.

# Angles

Training
7

#### Vector (exact value): Angles

The image shows two pairs of parallel lines intersected by a fifth line. The size of angle $\alpha$ is 45°, $\beta$ is 65°. Determine the size (as numbers, without °) of the two purple angles and complete the checkboxes below.

# Intercept theorem

Training
7

#### Multiple Choice: Circle

Below, select all true statements about the circle in the image. The unit of length is centimeters.

# Circle

Training
7

#### Vector (Interval): Model the surface of the lake

The image shows lake Bracciano in Italy, which has an almost circular surface. Calculate the approximate area of the lakes surface. Fill out the answer fields below. All length units are in kilometers, the surface is in square kilometers. Round each to one decimal number. This task type is handy for tasks that could encounter rounding differences or whenever the user has to model or measure some quantity or size.

# Circle

Modeling
7

Given the quadratic function $f(x)= x^2-4x-5$. Determine all its zeros. The task type "set" does not take into account the order in which the answers are given (just like a set is commutative). Insert all results in the box below.