Q2/Q4 Review #2

Front

What is the SSS (Side-Side-Side) Congruence Postulate?

Back

The SSS Congruence Postulate states that if three sides of one triangle are equal to three sides of another triangle, then the two triangles are congruent.

Front

What additional information is required for two triangles to be congruent by SSS?

Back

The additional information required can include the lengths of the sides or the angles, but specifically, it may refer to the third side or angle that confirms congruence.

Front

What is the center of a circle given by the equation (x + 2)² + (y + 5)² = r²?

Back

The center of the circle is (-2, -5).

Front

What is the centroid of a triangle?

Back

The centroid is the point where the three medians of a triangle intersect, and it is also the center of mass of the triangle.

Front

What are medians in a triangle?

Back

Medians are line segments that connect a vertex of a triangle to the midpoint of the opposite side.

Front

If TS is a midsegment of triangle GHI, what does that imply about the lengths of the segments?

Back

The midsegment TS is parallel to the third side of the triangle GHI and its length is half the length of that side.

Front

How do you find the angle of elevation from a point to the top of a structure?

Back

The angle of elevation can be found using trigonometric ratios, specifically the tangent function, which relates the height of the structure to the distance from the point.

Front

What is the relationship between the sides of a right triangle and the angles?

Back

In a right triangle, the side opposite the largest angle (90 degrees) is the hypotenuse, and the other two sides are the legs.

Front

What is the Pythagorean theorem?

Back

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides (a² + b² = c²).

Front

What is a midsegment in a triangle?

Back

A midsegment is a segment that connects the midpoints of two sides of a triangle.