Geometry Problem Solving Skills Quiz

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Questions and Answers

What is the gradient of the straight line represented by the equation y = -2x + 5?

-2

What are the coordinates of the point where y = 2 on the graph of 2x + 3y = 6?

(0, 2)

In real-life straight-line graphs, what do x and y variables typically represent?

Real-life values such as weight, length, time, speed, etc.

What type of graph results when a uniform rate is represented?

<p>A straight line</p> Signup and view all the answers

In a conversion graph, what is the normal practice for labeling the axes?

<p>First named variable (e.g., p) on the vertical axis</p> Signup and view all the answers

Why are the answers obtained from a conversion graph not exact?

<p>Because readings are taken from the graph</p> Signup and view all the answers

What is the property that states the exterior angle of a triangle is equal to the sum of the two opposite interior angles?

<p>Exterior Angle Theorem</p> Signup and view all the answers

How many degrees are there in the sum of angles in a triangle?

<p>180 degrees</p> Signup and view all the answers

What is the sum of the exterior angles of any polygon?

<p>360 degrees</p> Signup and view all the answers

What is the property of special triangles that can be used to solve geometrical problems?

<p>Special Right Triangles</p> Signup and view all the answers

What type of angles are equal when two lines are cut by a transversal and are on the same side of the transversal?

<p>Corresponding angles</p> Signup and view all the answers

What is the property that states angles on a straight line add up to 180 degrees?

<p>Linear Pair Postulate</p> Signup and view all the answers

Name a quadrilateral with one line of symmetry and no rotational symmetry.

<p>Kite</p> Signup and view all the answers

Find x when the four angles of a quadrilateral are 90°, 3x + 15°, x + 25°, and x + 55°.

<p>x = 10°</p> Signup and view all the answers

In quadrilateral PQR with angles PQR = QRS, angle PSR = 47, and angle QPS = 6/7 angle QRS, find angle QPS.

<p>QPS = 90°</p> Signup and view all the answers

In a rectangle, if the diagonals intersect at 76°, find the angle that a diagonal makes with a longer side of the rectangle.

<p>38°</p> Signup and view all the answers

Given an n-sided polygon, how many triangles can it be divided into?

<p>n - 2 triangles</p> Signup and view all the answers

In an isosceles trapezium ABCD with BCE as an isosceles triangle and DCEF as a straight line, if angle BEF = 132°, find the size of angle DAB.

<p>24°</p> Signup and view all the answers

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