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Quantitative Aptitude Practice Geometry Study Material

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Triangles

The diagram at the right shows a right triangle with representations for two angles. What is the value of x?

a)         15
b)         45
c)         60
d)         54

✔Answer

Correct Answer Is : 15

Solution Is :

Two sides of an isosceles triangle measure 3 and 5. Which of the following could be the measure of the third side?

a)         9
b)     5
c)    7
d)     3

✔Answer

Correct Answer Is : 5

Solution Is :

The midpoints of the sides of triangle PQR are labeled X, Y and Z. If the perimeter of triangle XYZ is 26, find the perimeter of triangle PQR.

a)        48
b)    52
c) 84
d) 116

✔Answer

Correct Answer Is : 52

Solution Is :

In triangle ABC, m∠A = 60°, and m∠C = 40°. What type of triangle is triangle ABC ?

a) isoceles
b) right
c) obtuse
d) acute

✔Answer

Correct Answer Is : acute

Solution Is :

In a triangle PQR, if PQ=PR and QR is produced to S such that angle PRS=120° then angle P is equal to

a)        60°
b)    30°
c) 90°
d)    120°

✔Answer

Correct Answer Is : 60°

Solution Is :

In adjoining figure, AC=BC and angle ABY=140° , then find angles x and y

a)         120°
b)          70°
c)         110°
d)         130°

✔Answer

Correct Answer Is : 110°

Solution Is :

In the accompanying diagram, BA=BC and angle x=130O,then angle y is equal to What is m

a)          70°
b)          50°
c)          90°
d)         110°

✔Answer

Correct Answer Is : 50°

Solution Is :

In triangle ABC, ∠A is acute. Which statement is true about the sum of the measures of ∠ B and ∠C?

a)         m∠B + m∠C = 90
b)         m∠B + m∠C > 90
c)         m∠B + m∠C <   90
d)         m∠B + m∠C = 180

✔Answer

Correct Answer Is : m∠B + m∠C > 90

Solution Is :

The sides of a triangle are 6, 8 and 12. Find the length of the longest side of a similar triangle whose shortest side is 18.

a)         10
b)    16
c)    20
d)     36

✔Answer

Correct Answer Is : 36

Solution Is :

The vertex angle of an isosceles triangle measures ten times the measure of a base angle. Find the measure of a base angle.

a) 30°
b) 45°
c) 15°
d) 60°

✔Answer

Correct Answer Is : 15°

Solution Is :

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Quantitative Aptitude Practice Geometry Study Material

Triangles

The diagram at the right shows a right triangle with representations for two angles. What is the value of x?

Correct Answer Is : 15

Solution Is :

Two sides of an isosceles triangle measure 3 and 5. Which of the following could be the measure of the third side?

Correct Answer Is : 5

Solution Is :

The midpoints of the sides of triangle PQR are labeled X, Y and Z. If the perimeter of triangle XYZ is 26, find the perimeter of triangle PQR.

Correct Answer Is : 52

Solution Is :

In triangle ABC, m∠A = 60°, and m∠C = 40°. What type of triangle is triangle ABC ?

Correct Answer Is : acute

Solution Is :

In a triangle PQR, if PQ=PR and QR is produced to S such that angle PRS=120° then angle P is equal to

Correct Answer Is : 60°

Solution Is :

In adjoining figure, AC=BC and angle ABY=140° , then find angles x and y

Correct Answer Is : 110°

Solution Is :

In the accompanying diagram, BA=BC and angle x=130O,then angle y is equal to What is m

Correct Answer Is : 50°

Solution Is :

In triangle ABC, ∠A is acute. Which statement is true about the sum of the measures of ∠ B and ∠C?

Correct Answer Is : m∠B + m∠C > 90

Solution Is :

The sides of a triangle are 6, 8 and 12. Find the length of the longest side of a similar triangle whose shortest side is 18.

Correct Answer Is : 36

Solution Is :

The vertex angle of an isosceles triangle measures ten times the measure of a base angle. Find the measure of a base angle.

Correct Answer Is : 15°

Solution Is :

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