Lines, Angles, and Triangles MCQ Quiz in தமிழ் - Objective Question with Answer for Lines, Angles, and Triangles - இலவச PDF ஐப் பதிவிறக்கவும்

Last updated on Apr 21, 2025

பெறு Lines, Angles, and Triangles பதில்கள் மற்றும் விரிவான தீர்வுகளுடன் கூடிய பல தேர்வு கேள்விகள் (MCQ வினாடிவினா). இவற்றை இலவசமாகப் பதிவிறக்கவும் Lines, Angles, and Triangles MCQ வினாடி வினா Pdf மற்றும் வங்கி, SSC, ரயில்வே, UPSC, மாநில PSC போன்ற உங்களின் வரவிருக்கும் தேர்வுகளுக்குத் தயாராகுங்கள்.

Latest Lines, Angles, and Triangles MCQ Objective Questions

Top Lines, Angles, and Triangles MCQ Objective Questions

Lines, Angles, and Triangles Question 1:

In an isosceles right triangle, what is the measure of each of the two equal angles?

  1. 30
  2. 45
  3. 60
  4. 90

Answer (Detailed Solution Below)

Option 2 : 45

Lines, Angles, and Triangles Question 1 Detailed Solution

An isosceles right triangle has two equal angles and one 90 angle. Since the sum of angles in any triangle is 180, the two equal angles must satisfy the equation 90+2x=180. Solving for x gives 2x=90, so x=45. Therefore, each of the equal angles measures 45 (Option 2). The other options do not satisfy this requirement.

Lines, Angles, and Triangles Question 2:

Two triangles, ABC and DEF, are similar. If angle A measures 40, what is the measure of angle D?

  1. 90^\circ
  2. 60^\circ
  3. 50^\circ
  4. 40^\circ

Answer (Detailed Solution Below)

Option 4 : 40^\circ

Lines, Angles, and Triangles Question 2 Detailed Solution

In similar triangles, corresponding angles are congruent. This means that if angle A in ABC is 40, then the corresponding angle D in DEF is also 40. Option 4 is correct because it reflects the congruency of corresponding angles in similar triangles. Other options suggest incorrect measures that do not align with the property of similar triangles.

Lines, Angles, and Triangles Question 3:

Triangle ABC is congruent to triangle DEF. If angle A is 55 and angle B is 90, find the measure of angle F.

  1. 35°
  2. 55°
  3. 90°
  4. 125°

Answer (Detailed Solution Below)

Option 1 : 35°

Lines, Angles, and Triangles Question 3 Detailed Solution

Given that triangles ABC and DEF are congruent, corresponding angles are equal. We know angles A, B, and C in triangle ABC must sum to 180. With A=55 and B=90, we find C:

55+90+C=180

Solving for C:

C=1805590=35

So, angle F, which corresponds to angle C, is 35. Thus, the correct answer is 35. Option 2 (55°) corresponds to angle A. Option 3 (90°) corresponds to angle B. Option 4 (125°) is incorrect as it does not satisfy the angle sum property of triangles.

Lines, Angles, and Triangles Question 4:

Two triangles are congruent. If one triangle has angles measuring 50, 60, and 70, what are the measures of the angles in the other triangle?

  1. 50°, 60°, 70°
  2. 60°, 70°, 80°
  3. 70°, 80°, 90°
  4. 80°, 90°, 100°

Answer (Detailed Solution Below)

Option 1 : 50°, 60°, 70°

Lines, Angles, and Triangles Question 4 Detailed Solution

In congruent triangles, all corresponding angles are equal. This means that if one triangle has angles of 50, 60, and 70, the other triangle must have angles of exactly the same measures: 50, 60, and 70. The sum of the angles in any triangle is 180. If we add 50+60+70, we indeed get 180, which is consistent with the angle sum property. Option 2 (60°, 70°, 80°), Option 3 (70°, 80°, 90°), and Option 4 (80°, 90°, 100°) do not match the measures of the angles in the first triangle, and thus they cannot be the correct answer.

Lines, Angles, and Triangles Question 5:

If triangle KLM is congruent to triangle NOP and angle K is 45, while angle L is 90, what is the measure of angle P?

  1. 45°
  2. 90°
  3. 60°
  4. 135°

Answer (Detailed Solution Below)

Option 1 : 45°

Lines, Angles, and Triangles Question 5 Detailed Solution

In congruent triangles KLM and NOP, corresponding angles are equal. The angles in triangle KLM are K, L, and M, and they sum to 180. Given K=45 and L=90, we find angle M:

45+90+M=180

Solving for M:

M=1804590=45

Thus, angle P, which corresponds to angle M, is 45. Therefore, the correct answer is 45

Lines, Angles, and Triangles Question 6:

In triangle ABC, angle A measures 30 and angle B measures 90. If triangle DEF is congruent to triangle ABC, what is the measure of angle F?

  1. 30°
  2. 60°
  3. 90°
  4. 120°

Answer (Detailed Solution Below)

Option 2 : 60°

Lines, Angles, and Triangles Question 6 Detailed Solution

Since triangles ABC and DEF are congruent, all corresponding angles in these triangles must be equal. In triangle ABC, the angles A, B, and C must sum to 180. Given angle A is 30 and angle B is 90, we calculate angle C:

30+90+C=180

Solving for C:

C=1803090=60

Therefore, the measure of angle F, which corresponds to angle C, is 60. Thus, the correct answer is 60. Option 1 (30°) corresponds to angle A. Option 3 (90°) corresponds to angle B. Option 4 (120°) is incorrect as it exceeds the possible values for a triangle's angle.

Lines, Angles, and Triangles Question 7:

Triangle RST is similar to triangle UVW. If angle R is 40 and angle S is 90, what is the measure of angle W?

  1. 40°
  2. 50°
  3. 90°
  4. 130°

Answer (Detailed Solution Below)

Option 2 : 50°

Lines, Angles, and Triangles Question 7 Detailed Solution

Similar triangles have the same shape but not necessarily the same size, and their corresponding angles are equal. In triangle RST, the angles R, S, and T sum to 180. Given R=40 and S=90, we calculate angle T:

40+90+T=180

Solving for T:

T=1804090=50

Therefore, angle W, which corresponds to angle T, is 50. Thus, the correct answer is 50. Option 1 (40°) corresponds to angle R. Option 3 (90°) corresponds to angle S. Option 4 (130°) is incorrect as it does not match the properties of similar triangles.

Lines, Angles, and Triangles Question 8:

Triangle JKL is a right triangle with the right angle at L. The hypotenuse JK is 90 units, and one leg JL is 54 units. If a line segment MN is drawn parallel to KL and is 18 units long, what is the length of the segment JM?

  1. 25.5
  2. 25
  3. 22.5
  4. 27.5

Answer (Detailed Solution Below)

Option 3 : 22.5

Lines, Angles, and Triangles Question 8 Detailed Solution

Since MN is parallel to KL, triangles JKL and JMN are similar. The length of KL can be found using the Pythagorean theorem: JL2+KL2=JK2

542+KL2=902

2916+KL2=8100

KL2=5184

KL=72

The ratio of KL to MN is 7218=4. Therefore, the length of segment JM can be found using this ratio: JM=JL4=544=13.5. However, we need to calculate the full length using the hypotenuse ratio: 90JM=4 JM=904=22.5.

Lines, Angles, and Triangles Question 9:

In triangle GHI, angle I is a right angle. The length of GH is 100 units and HI is 80 units. If a point J on GH creates a perpendicular from I to GH, what is the length of IJ?

  1. 48
  2. 60
  3. 64
  4. 72

Answer (Detailed Solution Below)

Option 2 : 60

Lines, Angles, and Triangles Question 9 Detailed Solution

To find IJ, the altitude from I to GH, we need to determine the length of GI using the Pythagorean theorem: GI2+HI2=GH2

GI2+802=1002

GI2+6400=10000

GI2=3600

GI=60

The area of triangle GHI is 12×HI×GI=12×80×60=2400.

Using the altitude IJ, the area can also be expressed as 12×GH×IJ=2400.

Solving for IJ gives 50×IJ=2400

IJ=48.

Therefore, the length of IJ is 60 units.

Lines, Angles, and Triangles Question 10:

A triangle has angles measuring 90° and 45°. What is the measure of the third angle?

  1. 35°
  2. 45°
  3. 60°
  4. 90°

Answer (Detailed Solution Below)

Option 2 : 45°

Lines, Angles, and Triangles Question 10 Detailed Solution

The sum of a triangle's angles is 180°. With a right triangle having one angle of 90° and another of 45°, their sum is 135°. The third angle can be found by subtracting from 180°: 180° - 135° = 45°. Thus, option 2 is correct. Option 1 is too low, option 3 exceeds the possible angle sum, and option 4 repeats the right angle, which is impossible for the third angle.

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