Geometry Problem Solving Skills Quiz

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RelaxedDouglasFir
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18 Questions

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?

A straight line

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

First named variable (e.g., p) on the vertical axis

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

Because readings are taken from the graph

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

Exterior Angle Theorem

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

180 degrees

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

360 degrees

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

Special Right Triangles

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

Corresponding angles

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

Linear Pair Postulate

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

Kite

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

x = 10°

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

QPS = 90°

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

38°

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

n - 2 triangles

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.

24°

Test your knowledge on solving geometry problems related to angles in triangles, polygons, exterior angles, maps, scale drawings, bearings, special triangles, perpendicular bisectors, and triangle constructions using ruler and compasses.

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