I have some true and false questions about geometry?

Question

They are all about triangles =D

1.) If a triangle has two angles of equal measure, then the third angle is obtuse.

2.)If two sides and a non-included angle of a triangle are congruent to two sides and a non-included angle of another triangle, then the triangles are congruent.

3.)If the measure of an exterior angle of a triangle is 45 degress, then each of the corresponding remote interior angles also has a measure of 45 degress.

Answer 1

A statement is false if you can find one instace in which that statement is false.

1) For triangle ABC, let's say that we have measures of 59°, 59°, and 62°. None of these are obtuse, so this one is FALSE.

2) While the AAS (Angle-Angle-Side) condition also guarantees congruence, SSA (Side-Side-Angle) does not, as there are often two dissimilar triangles with a pair of corresponding sides and a non-included angle equal. This is known as the ambiguous case. Therefore, this statement is FALSE.

3) Exterior angles are formed by extending a side beyond the polygon. The measure of the exterior angle added to the measure of the adjacent interior angle is 180 degrees. Since 45° + 45° = 90°, this statement is FALSE.

Answer 2

1 This is false. If the two equal angles are both 80 degrees, then the third angle would be 180-2(80) = 20 degrees which is an acute angle --- not an obtuse angle.

2. False. The conditions for congruency are SSS, SAS, ASA, and AAS. None of these are met by the data in the statement.

3. Absolutely false. An exterior angle is greater than either of the non-adjacent interior angles and is equal to their sum.

Answer 3

1). False. Think of a right triangle with both
of the other angles equal to 45 degrees.

2). False. Draw a picture.

3). False. The sum of the corresponding remote
interior angles is 45 degrees.

Answer 4

1.) If a triangle has two angles of equal measure, then the third angle is obtuse.
FALSE

2.)If two sides and a non-included angle of a triangle are congruent to two sides and a non-included angle of another triangle, then the triangles are congruent.
FALSE

3.)If the measure of an exterior angle of a triangle is 45 degress, then each of the corresponding remote interior angles also has a measure of 45 degress.
FALSE

Answer 5

1. False. If the two angles of equal measure exceed 45 degrees, the third angle is not obtuse anymore.

2. False. SAS (Side-Angle-Side): Two triangles are congruent if a pair of corresponding sides and the included angle are equal.

3. False. The TOTAL of their measures equals 45 degrees, not each of them.

Answer 6

1) False. You could have a triangle with 45, 45, 90 to 89, 89, 2 and anything in between.

2) False. You can use Side-Angle-Side, Angle-Side-Angle, Side-Side-Side or Angle-Angle-Side, but never Angle-Side-Side.

3) False. The corresponding interior angle is 135 and the other interior angles can be anything that adds up to 45.

Answer 7

1) False An equalateral triangle can be "tall / pointy" at the top or "short/ flat"
2) False, There are two different solutions to an Angle Side Side geometry.
2) False The three angle of a triangle add up to 180

Answer 8

1)
false

20
false

3)
false
₢

Answer 9

true, false, and true, i am bad at geometry never could get an answer right so don't be surprised if i don't get it

Answer 10

if you need help with your homework just ask