## Loci and constructions

### 1

What does it mean to bisect an angle or a line?

### 2

Which diagram shows an accurate locus of points closer to A than B?

### 3

Which diagram shows the triangle ABC where side AC is 4 cm, angle A is 40° and angle C is 70°?

### 4

Which diagram shows the triangle PQR where side PQ is 7 cm, side QR is 9 cm and angle Q is 50°?

### 5

Questions 5 - 10 are for Intermediate and Higher tier

What scenario does this construction best fit?

### 6

Which criteria best defines the shaded area?

### 7

Which constructions are used to create this locus?

### 8

What construction should you use to show the locus of points equidistant from AB and AC in the trapezium ABCD?

### 9

What construction should you use to show the locus of points equidistant from AB and CD in the rectangle ABCD?

### 10

There are four possible locations of buried treasure shown on this map:

Here are two clues:

• The treasure is buried equidistant from the line DA to the line DC
• The treasure is closer to the point D than B

Where is it buried?