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India
Class X

Gradient and Similar Triangles

Interactive practice questions

Consider the points $A$A, $B$B and $C$C.

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a

Complete the directions that explain how to move from point $A$A to point $B$B.

From $A$A, move $\editable{}$ units up and $\editable{}$ units to the right.

b

Express the direction of the movement in the previous question as a simplified ratio, comparing vertical movement to horizontal movement. Express the ratio in the form $a:b$a:b.

$\editable{}:\editable{}$:

c

Complete the directions that explain how to move from point $A$A to point $C$C.

From $A$A, move $\editable{}$ units up and $\editable{}$ units to the right.

d

Express the direction of the movement in the previous question as a simplified ratio, comparing vertical movement to horizontal movement. Express the ratio in the form $a:b$a:b.

$\editable{}:\editable{}$:

Easy
2min

Consider the points $A$A, $B$B and $C$C.

Easy
1min

Consider the points $A$A, $B$B and $C$C.

Easy
3min

Consider the points $A$A, $B$B and $C$C.

Easy
3min
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Outcomes

10.G.T.1

Definitions, examples, counterexamples of similar triangles, covering (a) If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, the other two sides are divided in the same ratio, (b) If a line divides two sides of a triangle in the same ratio, the line is parallel to the third side, (c) If in two triangles, the corresponding angles are equal, their corresponding sides are proportional and the triangles are similar, (d) If the corresponding sides of two triangles are proportional, their corresponding angles are equal and the two triangles are similar (e) If one angle of a triangle is equal to one angle of another triangle and the sides including these angles are proportional, the two triangles are similar.

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