Geometry Flashcard 10 (Fall Semester Review)

Front

What is the scale factor of dilation from triangle ABC to triangle XYZ if ABC ~ XYZ?

Back

Front

How do you find the coordinates of a point after a 90° anticlockwise rotation about another point?

Back

To find the new coordinates (x', y') of point A(x, y) after a 90° anticlockwise rotation about point (h, k), use the formula: x' = h - (y - k) y' = k + (x - h).

Front

What does the Angle-Side-Angle (ASA) postulate state?

Back

The ASA postulate states that if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, then the triangles are congruent.

Front

What does the Side-Angle-Side (SAS) theorem state?

Back

The SAS theorem states that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the triangles are congruent.

Front

What is the Hypotenuse-Leg (HL) theorem?

Back

The HL theorem states that if the hypotenuse and one leg of a right triangle are equal to the hypotenuse and one leg of another right triangle, then the triangles are congruent.

Front

What is the value of x if x + 5 = 28?

Back

x = 23.

Front

How do you find the measure of an angle in a triangle?

Back

To find the measure of an angle in a triangle, use the fact that the sum of the angles in a triangle is 180°. If you know the measures of the other two angles, subtract their sum from 180°.

Front

What is the formula for the area of a triangle?

Back

Front

What is the Pythagorean theorem?

Back

Front

What is the definition of similar triangles?

Back

Similar triangles are triangles that have the same shape but may differ in size. Their corresponding angles are equal, and their corresponding sides are in proportion.