Mathematics

Grade9

Easy

Question

In the given figure, PS is the median, bisecting angle P, then $angle$ QPS is

110°
70°
45°
55°

hint Hint:

$S o l v e space f o r space angle P space b y space a p p l y i n g space t h e space apostrophe S u m space o f space a l l space a n g l e s space o f space a space t r i a n g l e space i s space 180 degree apostrophe.$

The correct answer is: 45°

$G i v e n comma angle Q space equals space 45 degree P S space i s space t h e space m e d i a n T o space f i n d comma angle Q P S H e r e comma P S space i s space t h e space m e d i a n. space therefore space angle P S Q space equals space 90 degree W e space k n o w space t h a t space t h e space s u m space o f space a l l space t h e space a n g l e s space o f space a space t r i a n g l e space i s space 180 degree H e n c e comma space f o r space increment Q P S angle Q space plus space angle P space plus space angle S space equals space 180 degree 45 degree space plus space angle P space plus space 90 degree space equals space 180 degree angle P space plus space 135 degree space equals space 180 degree angle P space equals space 180 degree space minus space 135 degree angle P space equals space space 45 degree T h e r e f o r e comma space space angle Q P S space equals space space 45 degree$

Number of acute angles in a right triangle are ____________.

$I n space a space r i g h t minus a n g l e d space t r i a n g l e comma space t h e space m e a s u r e space o f space o n e space a n g l e space i s space 90 degree. N o w comma space t h e space s u m space o f space a l l space t h e space a n g l e s space o f space a space t r i a n g l e space i s space 180 degree L e t apostrophe s space c o n s i d e r space t h e space t r i a n g l e space t o space b e space triangle A B C. H e n c e comma angle A space plus space angle B space plus space angle C space equals space 180 degree 90 degree space plus space space angle B space plus space angle C space equals space 180 degree space angle B space plus space angle C space equals space 180 degree space minus space 90 degree space angle B space plus space angle C space equals space 90 degree H e r e comma space n o space a n g l e space c a n space b e space 0 degree space i n space a space t r i a n g l e. space H e n c e comma space t h e space o t h e r space t w o space a n g l e s space o f space t h e space t r i a n g l e space w i l l space b e space a c u t e space a n g l e s.$

Number of acute angles in a right triangle are ____________.

MathematicsGrade9

Grade9

Mathematics

The hypotenuse of a right triangle is 37 cm long. If one of the remaining two sides is 12 cm in length, then the length of the other side is

MathematicsGrade9

Grade9

Mathematics

These triangles are congruent. If $angle straight E text is end text 45 degree text and end text angle straight B text is end text 55 degree text , end text angle straight C$ is

MathematicsGrade9

Grade9

Mathematics

These two triangles are congruent. If $angle C space i s space 40 degree$ , then the measure of $angle F$ is

MathematicsGrade9

Grade9

Mathematics

The triangle sum theorem states that the sum of the angles of a triangle equal how many degrees?

MathematicsGrade9

Grade9

Mathematics

$angle A$ is called _________.

MathematicsGrade9

Grade9

Mathematics

Are these triangles congruent? If so, why?

MathematicsGrade9

Grade9

Mathematics

Do we have enough information to say these two triangles are congruent? If so, what allows us to say this?

MathematicsGrade9

Grade9

Mathematics

Can the HL congruence theorem be used to prove the triangles congruent? If so, write a congruence statement.

MathematicsGrade9

Grade9

Mathematics

Can the HL congruence theorem be used to prove the triangles congruent? If so, write a congruence statement.

MathematicsGrade9

Grade9

Mathematics

State if the two triangles are congruent. If they are, state how you know.

MathematicsGrade9

Grade9

Mathematics

If ∆ ABC and ∆ PQR are to be congruent, then name one additional pair of corresponding parts.

MathematicsGrade9

Grade9

Mathematics

Complete the congruence statement: ∆ BCA =

Congruent triangles are triangles that have same size and shape. This suggests us that the corresponding sides are equal and corresponding angles are equal.
When two triangles are congruent, all of their corresponding sides and angles are equal.

Complete the congruence statement: ∆ BCA =

MathematicsGrade9

Grade9

Mathematics

We want to show that $increment A R T space equals space increment P E N$ . We have to use SAS criterion. We have $angle T space equals space angle N$ , RT = EN, then____________.

SAS congruence is the term which is also known as Side Angle Side congruence. In this, triangles are congruent if any pair of corresponding sides and their included angles are equal in both triangles.

We want to show that $increment A R T space equals space increment P E N$ . We have to use SAS criterion. We have $angle T space equals space angle N$ , RT = EN, then____________.

MathematicsGrade9

Grade9

Mathematics

For two given triangles, ΔABC and ΔPQR, the number of possible matchings are

MathematicsGrade9

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In the given figure, PS is the median, bisecting angle P, then QPS is

110°70°45°55°

The correct answer is: 45°

Related Questions to study

Number of acute angles in a right triangle are ____________.

Number of acute angles in a right triangle are ____________.

The hypotenuse of a right triangle is 37 cm long. If one of the remaining two sides is 12 cm in length, then the length of the other side is

The hypotenuse of a right triangle is 37 cm long. If one of the remaining two sides is 12 cm in length, then the length of the other side is

These triangles are congruent. If is

These triangles are congruent. If is

These two triangles are congruent. If , then the measure of is

These two triangles are congruent. If , then the measure of is

The triangle sum theorem states that the sum of the angles of a triangle equal how many degrees?

The triangle sum theorem states that the sum of the angles of a triangle equal how many degrees?

is called _________.

is called _________.

Are these triangles congruent? If so, why?

Are these triangles congruent? If so, why?

Do we have enough information to say these two triangles are congruent? If so, what allows us to say this?

Do we have enough information to say these two triangles are congruent? If so, what allows us to say this?

Can the HL congruence theorem be used to prove the triangles congruent? If so, write a congruence statement.

Can the HL congruence theorem be used to prove the triangles congruent? If so, write a congruence statement.

Can the HL congruence theorem be used to prove the triangles congruent? If so, write a congruence statement.

Can the HL congruence theorem be used to prove the triangles congruent? If so, write a congruence statement.

State if the two triangles are congruent. If they are, state how you know.

State if the two triangles are congruent. If they are, state how you know.

If ∆ ABC and ∆ PQR are to be congruent, then name one additional pair of corresponding parts.

If ∆ ABC and ∆ PQR are to be congruent, then name one additional pair of corresponding parts.

Complete the congruence statement: ∆ BCA =

Complete the congruence statement: ∆ BCA =

We want to show that . We have to use SAS criterion. We have , RT = EN, then____________.

We want to show that . We have to use SAS criterion. We have , RT = EN, then____________.

For two given triangles, ΔABC and ΔPQR, the number of possible matchings are

For two given triangles, ΔABC and ΔPQR, the number of possible matchings are

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In the given figure, PS is the median, bisecting angle P, then $angle$ QPS is

110°
70°
45°
55°

These triangles are congruent. If $angle straight E text is end text 45 degree text and end text angle straight B text is end text 55 degree text , end text angle straight C$ is

These triangles are congruent. If $angle straight E text is end text 45 degree text and end text angle straight B text is end text 55 degree text , end text angle straight C$ is

These two triangles are congruent. If $angle C space i s space 40 degree$ , then the measure of $angle F$ is

These two triangles are congruent. If $angle C space i s space 40 degree$ , then the measure of $angle F$ is

$angle A$ is called _________.

$angle A$ is called _________.

We want to show that $increment A R T space equals space increment P E N$ . We have to use SAS criterion. We have $angle T space equals space angle N$ , RT = EN, then____________.

We want to show that $increment A R T space equals space increment P E N$ . We have to use SAS criterion. We have $angle T space equals space angle N$ , RT = EN, then____________.