The steps to construct a -XYZ- in which XY - 4-5 centimeters- - X-100- and - Y-50- is given below- Choose the correct order of the steps-1- Construct a line segment XP such that - PXY-100-2- Locate points X and Y on it such that XY - 4-5 cm-3- Draw a line segment that is sufficiently long using a ruler-4- Extend XP and YQ to intersect at Z-5- Construct a line segment YQ such that - XYQ-50-

Steps to construct a triangle XYZ, in which XY = 4.5 cm, ∠ X=100^∘, and nbsp;∠ Y=50^∘ is given below. 3. Draw a line segment that is sufficiently long using ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard VIII

Mathematics

Constructing a Triangle using ASA property

The steps to ...

Question

The steps to construct a $△ X Y Z$ , in which $X Y = 4.5$ centimeters, $∠ X = 100^{\circ}$ , and $∠ Y = 50^{\circ}$ is given below. Choose the correct order of the steps.

1. Construct a line segment $X P$ such that $∠ P X Y = 100^{\circ} .$
2. Locate points $X$ and $Y$ on it such that $X Y = 4.5$ cm.
3. Draw a line segment that is sufficiently long using a ruler.
4. Extend $X P$ and $Y Q$ to intersect at $Z$ .
5. Construct a line segment $Y Q$ such that $∠ X Y Q = 50^{\circ}$ .

3, 2, 4, 1, 5

No worries! We‘ve got your back. Try BYJU‘S free classes today!

2, 3, 1, 5, 4

No worries! We‘ve got your back. Try BYJU‘S free classes today!

3, 2, 1, 5, 4

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

2, 1, 3, 4, 5

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C $3, 2, 1, 5, 4$
Steps to construct a triangle $X Y Z$ , in which $X Y = 4.5$ cm, $∠ X = 100^{\circ}$ , and $∠ Y = 50^{\circ}$ is given below.

3. Draw a line segment that is sufficiently long using a ruler.
2. Locate points $X$ and $Y$ on it such that $X Y = 4.5$ cm.
1. Construct a line segment $X P$ such that $∠ P X Y = 100^{\circ}$ .
5. Construct a line segment $Y Q$ such that $∠ X Y Q = 50^{\circ}$ .
4. Extend $X P$ and $Y Q$ to intersect at $Z$ .

Suggest Corrections

Similar questions

Q. Steps for the construction of a triangle XYZ, in which XY = 4.5 cm,

∠ X = 100^{\circ}

and

∠ Y = 50^{\circ}

is given below. Choose the correct order.

1. Construct a line segment XP such that

∠ P X Y = 100^{\circ}

2. Locate points X and Y on it such that XY = 4.5 cm
3. Draw a line segment which is sufficiently long using ruler
4. Extend XP and YQ to intersect at Z.
5. Construct a line segment YQ such that

∠ X Y Q = 50^{\circ}

Q. The steps to construct a

△ P Q R

, where

P Q = 4 c m, Q R = 5.2 c m

, and

∠ Q = 60^{\circ}

is given below. Choose the correct order.

1. Draw a line segment that is sufficiently long using a ruler.
2. At

Q

, construct a line segment

Q M

, which is sufficiently large such that

∠ M Q R = 60^{\circ}

.
3. Locate points

Q

and

R

on it such that

Q R = 5.2

cm.
4. With

Q

as the center and a radius of

4

cm, draw an arc cutting

Q M

P

and join

P R

Q. Vikash followed the following steps to construct a triangle

△

XYZ such that XY = 6 cm,

∠

X = 30

^{\circ}

and

∠

Y = 100

^{\circ}

Step 1:
Draw the line segment XY of length 6 cm.

Step 2:
Draw the ray XP making an angle 30

^{\circ}

at X.

Step 3:
The ray XP and YQ intersects.

Step 4:
Mark the intersecting point as Z.

Step 5:
Join X, Y and Z to get the required

△

XYZ.

Which of the step is missing for constructing this

△

ABC?

Q. Steps for the construction of a right triangle LMN in which

∠ M = 90^{\circ}

, MN = 4 cm and LN = 6.2 cm is given below. Choose the correct order.

1. Draw a line segment XY.
2. Construct a line segment MP, sufficiently large such that

∠ N M P = 90^{\circ}

3. With N as centre and radius 6.2 cm draw an arc, cutting MP at L, join NL.
4. Locate M and N on XY such that MN = 4 cm.

Q. Which of the following steps is INCORRECT while constructing

△ X Y Z

if it is given that

X Y = 6 c m, ∠ Z X Y = 30^{o}

and

∠ X Y Z = 100^{o}

Step 1: Draw line

X Y

of length

6 c m

.
Step 2: At

X

, draw a ray

X P

making an angle of

30^{o}

with

X Y

.
Step 3: At

Y

, draw a ray

Y Q

making an angle of

100^{o}

with

Y X

.
Step 4: The point of intersection of the two rays

X Y

and

Y Q

Z

Join BYJU'S Learning Program