Complete the statement: To construct a 45° angle with a compass, first construct a 90° angle and then …
Can a triangle be constructed with sides 8 cm, 6 cm and 13 cm?
QS bisects ∠PQR, cutting it into two equal halves. If ∠PQS=60∘PQS=60^\circPQS=60∘, calculate the size of the whole angle ∠PQR.
The steps below construct the bisector of ∠ABC, but they are listed in the wrong order: (1) With the compass point on B, draw an arc that cuts both arms of the angle (2) Draw the ray from B through the point where those arcs cross (3) From each of those two points, draw two arcs that cross inside the angle In which order should the steps be carried out?
Complete the statement: Every point on the bisector of an angle is the same distance from …
M is the midpoint of line segment PQ. If PM=12PM=12PM=12 cm, write down the length of PQ.
You are asked to construct △DEF given all three sides: DE=6DE=6DE=6 cm, EF=9EF=9EF=9 cm and DF=6DF=6DF=6 cm. Which condition does this data describe — the one that guarantees any two triangles built from it are congruent?
In a construction, QS bisects ∠PQR=44∘PQR=44^\circPQR=44∘. Write down the size of ∠PQS.
M is the midpoint of line segment AB. If AM=5AM=5AM=5 cm, write down the length of AB.
In a construction, LS bisects ∠KLM=128∘KLM=128^\circKLM=128∘, and LT bisects ∠KLS. Write down the size of ∠TLS.
Complete the statement: Every point on the perpendicular bisector of RS is …
The steps below construct a perpendicular from point P down to a line, but they are listed in the wrong order: (1) With the compass point on P, draw an arc that cuts the line at two points (2) Draw the straight line from P through the point where those arcs cross (3) From each of those two points, draw arcs that cross on the far side of the line In which order should the steps be carried out?
