What are shapes with four sides called?
Quadrilaterals
What is the sum of two angles that form a straight line?
180 degrees
What is the sum of the interior angles of any triangle?
180 degrees
The Pythagorean Theorem only works for … triangles.
Right Triangles
What does it mean for two shapes to be similar?
They have the same shape but not necessarily the same size.
The corresponding angles congruent and the corresponding sides are proportional.
What are two angles that add up to 90 degrees called?
Complementary Angles
If two parallel lines are cut by a transversal, what angles are always congruent?
Corresponding angles
A triangle has sides of lengths 3 cm, 4 cm, and 5 cm. What type of triangle is it?
A right triangle.
In the Pythagorean Theorem formula, c is always the …
Hypotenuse
Triangle PQR is similar to triangle XYZ. What is the measure of angle Y?
angle Y = 70 degrees
A triangle with at least two equal sides is called …
Isosceles triangle
Two angles are supplementary. If the measure of one angle is 49 degrees, what is the measure of the other angle?
131 degrees
What are three types of triangles if we classify them by their sides?
Equilateral, Isosceles, Scalene
A right triangle has two legs measuring 6 m and 8m. What is the length of the hypotenuse?
10 m
Triangle ABC is similar to triangle DEF. What is x, the length of side EF?
x = 12 cm
The longest side of a right triangle is called the …
Hypotenuse
In a triangle, one angle measures 68 degrees and another angle measures 47 degrees. What is the measure of the third angle?
65 degrees
A triangle has angles of 30 degrees and 55 degrees. What type of triangle is it?
An obtuse triangle.
A right triangle has a hypotenuse that is 13 cm. If one of the legs is 12 cm, what is the length of the other leg?
5 cm
Triangle ABC is similar to triangle DEF. What is x, the length of side DF?
x = 14
Angles that are next to one another and share a common vertex are called …
Adjacent Angles
Two supplementary angles are in a ratio of 2:1. Find the measures of both angles.
120 degrees and 60 degrees
The exterior angle of a triangle is 145 degrees. If one of the alternate interior angles is 80 degrees, what is the measure of the other alternate interior angle?
65 degrees
A baseball diamond is a square with sides of 90 feet. What is the distance from home plate to second base? Round to the nearest foot.
127 feet
Triangle ABC is similar to triangle DEF. Find x, the length of side DE.
x = 12