NSTSE (National Science Talent Search Exam- Unified Council) Class 8: Questions 97 - 98 of 2028

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Question number: 97

» Mathematics » Understanding Quadrilaterals

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In the given diagram, find the value of x.

Quadrilateral poly1 Quadrilateral poly1: Polygon A, B, C, D Arc e Arc e: Semicircle through E and F Arc f Arc f: Semicircle through G and H Arc g Arc g: Semicircle through I and J Arc g_1 Arc g_1: Semicircle through I_1 and J_1 Segment a Segment a: Segment [A, B] of Quadrilateral poly1 Segment b Segment b: Segment [B, C] of Quadrilateral poly1 Segment c Segment c: Segment [C, D] of Quadrilateral poly1 Segment d Segment d: Segment [D, A] of Quadrilateral poly1 Point A A = (5.96,1.8) Point A A = (5.96,1.8) Point A A = (5.96,1.8) Point B B = (2.04, -0.2) Point B B = (2.04, -0.2) Point B B = (2.04, -0.2) Point C C = (5.94, -1.86) Point C C = (5.94, -1.86) Point C C = (5.94, -1.86) Point D D = (4.64, -0.1) Point D D = (4.64, -0.1) Point D D = (4.64, -0.1) 60â° text1 = “60â°” 55â° text1_1 = “55â°” 40â° text1_2 = “40â°” x text1_3 = “x”

Image of Quadrilateral ABCD with Some Given Angles

Showing the image of quadrilateral ABCD with some given angles

Choices

Choice (4) Response

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b.

c.

d.

Question number: 98

» Mathematics » Understanding Quadrilaterals

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Question

In the diagram, ABCD is a rhombus. AEC and BED are straight lines.

Quadrilateral poly1 Quadrilateral poly1: Polygon A, B, C, D Arc e Arc e: Semicircle through E_1 and F Arc h Arc h: Semicircle through G and H Arc k Arc k: Semicircle through I and J Arc p Arc p: Semicircle through K and L Arc q Arc q: Semicircle through M and N Segment a Segment a: Segment [A, B] of Quadrilateral poly1 Segment b Segment b: Segment [B, C] of Quadrilateral poly1 Segment c Segment c: Segment [C, D] of Quadrilateral poly1 Segment d Segment d: Segment [D, A] of Quadrilateral poly1 Segment f Segment f: Segment [D, B] Segment g Segment g: Segment [C, A] Point A A = (2.66, -1.74) Point A A = (2.66, -1.74) Point A A = (2.66, -1.74) Point B B = (5.86, -1.74) Point B B = (5.86, -1.74) Point B B = (5.86, -1.74) Point C C = (6.6,0.9) Point C C = (6.6,0.9) Point C C = (6.6,0.9) Point D D = (3.5,0.88) Point D D = (3.5,0.88) Point D D = (3.5,0.88) Point E Point E: Intersection point of f, g Point E Point E: Intersection point of f, g Point E Point E: Intersection point of f, g s text1 = “s” r text1_1 = “r” p text1_2 = “p” t text1_3 = “t” q text1_4 = “q”

Image of a Rhombus ABCD with Some Unknown Angles

Showing the image of a rhombus ABCD with some unknown angles

Choices

Choice (4) Response

a.

b.

c.

d.

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