This study notes covers Practice Questions within Properties of Quadrilaterals for GCSE Mathematics. Revise Properties of Quadrilaterals in Geometry & Measures for GCSE Mathematics with 11 exam-style questions and 3 flashcards. This topic appears less often, but it can still be a useful differentiator on mixed-topic papers. It is section 8 of 10 in this topic. Use this study notes to connect the idea to the wider topic before moving on to questions and flashcards.
Practice Questions
Q1 A quadrilateral has angles of 95°, 78°, and 83°. Find the fourth angle.
95 + 78 + 83 + x = 360°
256 + x = 360°
x = 104°
Q2 In a parallelogram, one angle is 55°. What is the adjacent angle?
Adjacent angles sum to 180° (co-interior)
Adjacent = 180° − 55° = 125°
Q3 A kite has angles of 60°, 84°, and 108°. Find the fourth angle.
60 + 84 + 108 + x = 360°
252 + x = 360°
x = 108°
Q4 In a rhombus, one angle is 110°. Find the other angles.
Opposite angles equal: 110°, ?, 110°, ?
Adjacent angles sum to 180°
Other angles = 180° − 110° = 70°
All angles: 110°, 70°, 110°, 70°
Practice questions for Properties of Quadrilaterals
Which of the following is a property of a parallelogram?
State THREE properties of a rhombus, at least one of which relates to its diagonals.