Triangles — Flashcards
Maharashtra Board · Class 9 · Mathematics
25 flashcards for Triangles (Maharashtra Board Class 9 Mathematics) to test yourself on key terms and facts. Sample: "What is the theorem of remote.
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What is the theorem of remote interior angles of a triangle?
Answer
The measure of an exterior angle of a triangle is equal to the sum of its remote interior angles. If ∠PRS is an exterior angle of triangle PQR, then ∠PRS = ∠PQR + ∠QPR.
How is an exterior angle related to its remote interior angles in terms of comparison?
Answer
An exterior angle of a triangle is greater than each of its remote interior angles. If ∠PRS is an exterior angle, then ∠PRS > ∠P and ∠PRS > ∠Q.
What are congruent triangles?
Answer
Two triangles are congruent if they have the same shape and size. When one triangle is placed on another, they fit exactly. Written as △ABC ≅ △PQR. All corresponding sides and angles are equal.
State the ASA (Angle-Side-Angle) test for congruence.
Answer
If two angles of one triangle are equal to two angles of another triangle, and the sides included by the respective pairs of angles are also equal, then the two triangles are congruent.
State the SAS (Side-Angle-Side) test for congruence.
Answer
If two sides of one triangle are equal to two sides of another triangle, and the angles included by the respective pairs of sides are also equal, then the two triangles are congruent.
State the SSS (Side-Side-Side) test for congruence.
Answer
If three sides of one triangle are equal to three sides of another triangle, then the two triangles are congruent.
What is the Hypotenuse-Side test for congruence?
Answer
In two right triangles, if the hypotenuses are equal and one pair of corresponding sides are equal, then the two triangles are congruent. This applies specifically to right triangles.
State the Isosceles Triangle Theorem.
Answer
If two sides of a triangle are congruent, then the angles opposite to them are congruent. In triangle ABC, if AB = AC, then ∠ABC = ∠ACB.
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