Hon IM1 -- Unit E Review

Front

What is the SSA condition in triangle congruence?

Back

SSA (Side-Side-Angle) is not a valid condition for proving triangle congruence because it can lead to ambiguous cases where two different triangles can be formed.

Front

What are the valid conditions for triangle congruence?

Back

The valid conditions for triangle congruence are AAS (Angle-Angle-Side), SAS (Side-Angle-Side), and SSS (Side-Side-Side).

Front

How do you find the image of a point under translation?

Back

To find the image of a point under translation, add the translation vector to the coordinates of the original point.

Front

What is the translation vector for the points N(−5,4) to N'(−3,−10)?

Back

The translation vector is (2, -14), calculated as N' - N = (−3 - (−5), −10 - 4).

Front

What is the HL theorem in triangle congruence?

Back

The HL (Hypotenuse-Leg) theorem states that if the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle, then the triangles are congruent.

Front

What is the effect of a translation T(2, -1) on a point?

Back

A translation T(2, -1) moves a point 2 units to the right and 1 unit down.

Front

How do you reflect a point across the y-axis?

Back

To reflect a point (x, y) across the y-axis, change the sign of the x-coordinate to get (-x, y).

Front

What are the coordinates of the image of point V(−2,9) under the translation T(2, -1)?

Back

The coordinates of the image of point V(−2,9) under the translation T(2, -1) are (0, 8).

Front

What is the significance of congruent triangles in geometry?

Back

Congruent triangles have the same size and shape, which means their corresponding sides and angles are equal.

Front

What does it mean for two segments to be congruent?

Back

Two segments are congruent if they have the same length.