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American National Curriculum

Grade 10

Geometry

Grade 10 Geometry Questions asked by Filo students

Question 1

Practice (jan.26,23): Find the value of

x

and

y

. Use the information in the dlagram to answer Part A and Part

B

. Part A What is the degree measure of angle

Y

? Part B What is the degree measure of angle Z? In the olagram above, the measure of angle

X

is twice the measure of angle

W

Topic:

Basics of Geometry

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Question 2

YA 20 19 18 17 16 15 14 13 12 11 10 9 8 765432 T 1 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 X

Topic:

Basics of Geometry

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Question 3

(i) एक आयताकार भूखंड का क्षेत्रफल

528 m^{2}

है। क्षेत्र की लंबाई (मीटरों में) चौड़ाई के दुगुने से एक अधिक है। हमें भूखंड की लंबाई और चौड़ाई ज्ञात करनी है। (ii) दो क्रमागत धनात्मक पूर्णांकों का गुणनफल 306 है। हमें पूर्णांकों को ज्ञात करना है। (iii) रोहन की माँ उससे 26 वर्ष बड़ी है। उनकी आयु (वर्षों में) का गुणनफल अब से तीन वर्ष पश्चात् 360 हो जाएगी। हमें रोहन की वर्तमान आयु ज्ञात करनी है।

Topic:

Relationships Within Triangles

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Question 4

Find the length of side

x

in simplest radical form with a rational denominator. Answer:

x =

Submit Answer

Topic:

Right Triangles and Trigonometry

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Question 5

Jan 28, 3 : 30 : 53

PM Watch help video One of the legs of a right triangle mensures

9 cm

and the other leg measures

8 cm

. Find the measure of the hypotenuse. If necessary, round to the nearest tenth. Answer:

Topic:

Similarity

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Question 6

ram. Find the missing measures.

J K = K L = m ∠ J = m ∠ K = m ∠ M =

Topic:

Quadrilaterals & Other Polygons

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Question 7

12. Prove the following. Start by marking the picture and determining why the triangles are congruent. Given:

∠ B

and

∠ D

are right angles.

\overline{B D} jisects \overline{A E}

Prove:

△ A BC ≅ △ E D C

STATEMENIS REASONS

Topic:

Congruent Triangles

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Question 8

P

is the centroid of

△ K L, K P = x + 11

, and

K M = 2 x + 9

, find

K M

Topic:

Relationships Within Triangles

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Question 9

Point

G

is a centroid of

△ A BC

. Use the given information to find the value of

x

. 7.

CG = 3 x + 7

and

CE = 6 x

FG = x + 8

and

A F = 9 x - 6

BG = 5 x - 1

and

D G = 4 x - 5

Topic:

Parallel and Perpendicular Lines

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Question 10

\overline{S V} ≅ \overline{U V}, m ∠ ST V = p + 2 6^{\circ}

, and

m ∠ U T V = 2 p

, what is

m ∠ U T V

m ∠ U T V =

Submit

Topic:

Basics of Geometry

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Question 11

Find the radius of a circle if the area is

803.84 ft^{2}

. Use

π = 3.14

r =

ft

Topic:

Basics of Geometry

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Question 12

Properties of trapezoids UC9 If

\overline{CF}

is not parallel to

\overline{D E}

, what is

m ∠ C

? Submit

Topic:

Basics of Geometry

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Question 13

Learning Assessment Analytics

T

and

Q

are the midpoints of the legs,

\overline{S U}

and

\overline{PR}

, of trapezoid PRSU. If

QT = 11

and

RS = 15

, what is

P U ?

P U = 1

Submit Work it out

Topic:

Basics of Geometry

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Question 14

10. The polygons are similar, find the value of each variable.

Topic:

Relationships Within Triangles

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Question 15

FINDINC A LENGTH Find the unknown leg length

x

. 8. 10.

79.7 x^{2} = 16.77 x^{2} = 218.89 - 278.89 x^{2} = 199.68 (x)^{2} = 199.68 x ⩾ 14.1 ft

31. BASEBALL DIAMOND In baseball, the distance of the paths between each pair of consecutive bases is 90 feet and the paths form right angles. How far does the ball need to travel if it is thrown from home plate directly to second base? 32. APPLE RALLOON You tie an apple balloon to a stake in the ground. The rope is 10 feet long. As the wind picks up. you observe that the balloon is now 6 feet away from the stake. How far above the ground is the balloon now?

Topic:

Basics of Geometry

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Question 16

Leaming Assessment Analytics Geometry

> ⋆

N.10 Properties of trapezoids UC9

W

and

T

are the midpoints of the legs,

\overline{V X}

and

\overline{S U}

, of trapezoid SUVX. If

U V = 56

and

T W = 71

, what is

SX

5 x =

Submit Work it out Not feeling ready yet? These can help: Identify trapezoids Classify quadrilaterals I (84)

Topic:

Basics of Geometry

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Question 17

ometry

>

t N.10 Properties of trapezoids UC9

W

and

T

are the midpoints of the legs,

\overline{V X}

and

\overline{S U}

, of trapezoid SUVX. If

SX = 18

and

U V = 38

, what is

T W ?

T W =

Topic:

Basics of Geometry

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Question 18

Fill in all of the mlesing angles to help you find

x

. Use the picture to find the following: 9. If

m ∠ L = 58

, then

m ∠ L K T =

? 10. If \Perp=5. then

M I = ?

. 11. If

m ∠ J K = 48

, then

m ∠ J =

? 12. If

m ∠ J = 55

. then

m ∠ J K M =

? Find the values of

m

and

n

. Agebra Find the values of

m

and

n

. 13. 14.

Topic:

Congruent Triangles

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Question 19

10. Sam's square bedroom has a diagonal of

92

feet. What is the length of each side?

Topic:

Right Triangles and Trigonometry

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Question 20

Geometry

>

I N.10 Properties of trapezoids UC9 If

RS = 23

and

QT = 35

, what is UV? V

U V =

Topic:

Basics of Geometry

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Grade 10 Geometry Questions asked by Filo students

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