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In the pair of triangles given below, the parts shown by identical marks are congruent. State the test and the one-to-one correspondence of vertices by which the triangles in the pair are congruent, the remaining congruent parts.
Concept: undefined >> undefined
In the adjacent figure, seg AD ≌ seg EC Which additional information is needed to show that ∆ ABD and ∆ EBC will be congruent by A-A-S test?
Concept: undefined >> undefined
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Construct the following quadrilateral of given measures.
In ☐ MORE, l(MO) = 5.8 cm, l(OR) = 4.4 cm, m∠M = 58°, m∠O = 105°, m∠R = 90°.
Concept: undefined >> undefined
Construct the following quadrilateral of given measures.
Construct ☐ DEFG such that l(DE) = 4.5 cm, l(EF) = 6.5 cm, l(DG) = 5.5 cm, l(DF) = 7.2 cm, l(EG) = 7.8 cm.
Concept: undefined >> undefined
Construct the following quadrilateral of given measures.
In ☐ ABCD l(AB) = 6.4 cm, l(BC) = 4.8 cm, m∠A = 70°, m∠B = 50°, m∠C = 140°.
Concept: undefined >> undefined
Construct the following quadrilateral of given measures.
Construct ☐ LMNO such that l(LM) = l(LO) = 6 cm, l(ON) = l(NM) = 4.5 cm, l(OM) = 7.5 cm.
Concept: undefined >> undefined
Draw a square WXYZ with side 5.2 cm.
Concept: undefined >> undefined
Show the following numbers on a number line. Draw a separate number line for each example.
(1)`3/2 , 5/2 , -3/2`
(2)`7/5 , (-2)/5 , (-4)/5`
(3) `(-5)/8 , 11/8`
(4)`13/10 , (-17)/10`
Concept: undefined >> undefined
Observe the number line and answer the questions.
- Which number is indicated by point B?
- Which point indicates the number `1 3/4`?
- State whether the statement ‘the point D denotes the number `5/2`’ is true or false.
Concept: undefined >> undefined
Show the following numbers on a number line. Draw a separate number line for the example.
`3/2 , 5/2 , -3/2`
Concept: undefined >> undefined
Show the following numbers on a number line. Draw a separate number line for the example.
`7/5 , (-2)/5 , (-4)/5`
Concept: undefined >> undefined
Show the following numbers on a number line. Draw a separate number line for the example.
`(-5)/8 , 11/8`
Concept: undefined >> undefined
Show the following numbers on a number line. Draw a separate number line for the example.
`13/10 , (-17)/10`
Concept: undefined >> undefined
The number `sqrt2` is shown on a number line. Steps are given to show `sqrt3` on the number line using `sqrt2`. Fill in the boxes properly and complete the activity.
Activity :
- The point Q on the number line shows the number ______.
- A line perpendicular to the number line is drawn through the point Q. Point R is at unit distance from Q on the line.
- Right angled ∆ORQ is obtained by drawing seg OR.
`l ("OQ") = sqrt2` , `l("QR") = 1`
`therefore` by Pythagoras theorem,
`[l("OR")]^2 = [l("OQ")]^2 + [l("QR")]^2 `
= `square^2`+ `square^2` = `square` + `square`
= `square`
∴ l(OR) = `square`
Draw an arc with centre O and radius OR. Mark the point of intersection of the line and the arc as C. The point C shows the number `sqrt3`.
Concept: undefined >> undefined
Show the number √5 on the number line.
Concept: undefined >> undefined
Show the number √7 on the number line.
Concept: undefined >> undefined
In the adjoining figure, each angle is shown by a letter. Fill in the boxes with the help of the figure.
Corresponding angles.
(1) ∠p and `square`
(2) ∠q and `square`
(3) ∠r and `square`
(4) ∠ s and `square`
Interior alternate angles.
(5) ∠s and `square`
(6) ∠w and `square`
Concept: undefined >> undefined
Observe the angles shown in the figure and write the following pair of angles.
Interior alternate angles
Concept: undefined >> undefined
Observe the angles shown in the figure and write the following pair of angles.
Corresponding angles
Concept: undefined >> undefined
Observe the angles shown in the figure and write the following pair of angles.
Interior angles
Concept: undefined >> undefined
