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"the perpendicular bisectors of the sides of a triangle are\nconcurrent."

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Practice important Questions

Class 9 Geometry Chapter 1 to 5

159 Qs

In the given figure, two sides $A B$ and $B C$ and the median $A D$ drawn to side $B C$ of $△ A B C$ are equal to the two sides $P Q$ and $Q R$ and the corresponding median $P M$ of the other $△ P Q R .$ Which of the following is not correct $?$

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In $△ A B C, A P ⊥ B C, B Q ⊥ A C, B - P - C, A - Q - C t h e n p r o v e t h a t, △ C P A \sim △ C Q B . I F A P = 7, B Q = &, B C = 12 t h e f i n d A C .$

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$P$ is a point equidistant from two lines $l$ and $m$ intersecting at point $A$ . Show that the line $A P$ bisects that angle between them

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In $△ A B C$ , $∠ A B C = 9 0^{0}$ , $B D ⊥ A C$ . If $B D = 8 c m, A D = 4 c m .$ Find $C D$ and $A B .$

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ABCD is a square; X is the mid-point of AB and Y the mid-point of BC.Hence, DX is perpendicular to AY.
If the above statement is true then mention answer as 1, else mention 0 if false.

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$∠ A B D > ∠ C$
If the above statement is true then mention answer as 1, else mention 0 if false

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The perpendiculars from the mid-point of BC to AB and AC are equal.

If the above statement is true then mention answer as 1, else mention 0 if false.

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Referring to the given figure, $E$ is the center of the circle and $A C$ and $B D$ are diameters. If $Δ A E B ≅ Δ D E C$ , then the congruence theorem used to prove this is:

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Which of the following statements is CORRECT?
Statement-1 : Two triangles are said to be congruent if two sides and an angle of one triangle are respectively equal to the two sides and an angle of the other.
Statement-2 : Two triangles are congruent if two sides and the included angle of the one must be equal to the corresponding two sides and included angle of the other.

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All triangles are congruent.

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"the perpendicular bisectors of the sides of a triangle are\nconcurrent."

Answer

Practice important Questions

Class 9 Geometry Chapter 1 to 5

Related questions

In the given figure, two sides $A B$ and $B C$ and the median $A D$ drawn to side $B C$ of $△ A B C$ are equal to the two sides $P Q$ and $Q R$ and the corresponding median $P M$ of the other $△ P Q R .$ Which of the following is not correct $?$

In $△ A B C, A P ⊥ B C, B Q ⊥ A C, B - P - C, A - Q - C t h e n p r o v e t h a t, △ C P A \sim △ C Q B . I F A P = 7, B Q = &, B C = 12 t h e f i n d A C .$

$P$ is a point equidistant from two lines $l$ and $m$ intersecting at point $A$ . Show that the line $A P$ bisects that angle between them

In $△ A B C$ , $∠ A B C = 9 0^{0}$ , $B D ⊥ A C$ . If $B D = 8 c m, A D = 4 c m .$ Find $C D$ and $A B .$

ABCD is a square; X is the mid-point of AB and Y the mid-point of BC.Hence, DX is perpendicular to AY.
If the above statement is true then mention answer as 1, else mention 0 if false.

$∠ A B D > ∠ C$
If the above statement is true then mention answer as 1, else mention 0 if false

The perpendiculars from the mid-point of BC to AB and AC are equal.

If the above statement is true then mention answer as 1, else mention 0 if false.

Referring to the given figure, $E$ is the center of the circle and $A C$ and $B D$ are diameters. If $Δ A E B ≅ Δ D E C$ , then the congruence theorem used to prove this is:

All triangles are congruent.

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"the perpendicular bisectors of the sides of a triangle are\nconcurrent."

Answer

Practice important Questions

Class 9 Geometry Chapter 1 to 5

Related questions

In the given figure, two sides AB and BC and the median AD drawn to side BC of △ABC are equal to the two sides PQ and QR and the corresponding median PM of the other △PQR. Which of the following is not correct?

In △ABC,AP⊥BC,BQ⊥AC,B−P−C,A−Q−Cthenprovethat,△CPA∼△CQB.IFAP=7,BQ=&,BC=12thefindAC.

P is a point equidistant from two lines l and m intersecting at point A. Show that the line AP bisects that angle between them

In △ABC, ∠ABC=900, BD⊥AC. If BD=8 cm,AD=4 cm. Find CD and AB.

ABCD is a square; X is the mid-point of AB and Y the mid-point of BC.Hence, DX is perpendicular to AY.If the above statement is true then mention answer as 1, else mention 0 if false.

∠ABD>∠C If the above statement is true then mention answer as 1, else mention 0 if false

The perpendiculars from the mid-point of BC to AB and AC are equal. If the above statement is true then mention answer as 1, else mention 0 if false.

Referring to the given figure, E is the center of the circle and AC and BD are diameters. If ΔAEB≅ΔDEC, then the congruence theorem used to prove this is:

All triangles are congruent.

Learn with content

Take Toppr Scholastic Test for Aptitude and Reasoning

Win exciting scholarships and plan a great education plan

In the given figure, two sides $A B$ and $B C$ and the median $A D$ drawn to side $B C$ of $△ A B C$ are equal to the two sides $P Q$ and $Q R$ and the corresponding median $P M$ of the other $△ P Q R .$ Which of the following is not correct $?$

In $△ A B C, A P ⊥ B C, B Q ⊥ A C, B - P - C, A - Q - C t h e n p r o v e t h a t, △ C P A \sim △ C Q B . I F A P = 7, B Q = &, B C = 12 t h e f i n d A C .$

$P$ is a point equidistant from two lines $l$ and $m$ intersecting at point $A$ . Show that the line $A P$ bisects that angle between them

In $△ A B C$ , $∠ A B C = 9 0^{0}$ , $B D ⊥ A C$ . If $B D = 8 c m, A D = 4 c m .$ Find $C D$ and $A B .$

ABCD is a square; X is the mid-point of AB and Y the mid-point of BC.Hence, DX is perpendicular to AY.
If the above statement is true then mention answer as 1, else mention 0 if false.

$∠ A B D > ∠ C$
If the above statement is true then mention answer as 1, else mention 0 if false

The perpendiculars from the mid-point of BC to AB and AC are equal.

If the above statement is true then mention answer as 1, else mention 0 if false.

Referring to the given figure, $E$ is the center of the circle and $A C$ and $B D$ are diameters. If $Δ A E B ≅ Δ D E C$ , then the congruence theorem used to prove this is: