Post Test: Transformations and Congruence
Type the correct answer in the box. In triangle ABC, which side is the longest if these are the measures of the angles? m∠A = 60°, m∠B = (3x − 2)°, m∠C = (2x + 7)°
Side is the longest side. WRONG ANSWERS
Select the correct answer. Figure 1 has been transformed to produce figure 2. Which notation describes this transformation?
(x^1, y^1) = (x - 9, y + 2)
Polygon ABCD reflects about line MN to make polygon EFGH. What is the length of FG― ?
2 units
Based on these segment lengths, which group of segments can form a triangle?
20, 7, 13 WRONG ANSWERS
Select the correct answer. The triangles in the diagram are congruent. If mF = 40°, mA = 80°, and mG = 60°, what is mB?
40°
Drag the tiles to the boxes to form correct pairs. Polygon ABCD is rotated 90º counterclockwise about the origin to create polygon A′B′C′D′. Match each set of coordinates to the vertices of polygon A′B′C′D′.
A'--(-1, 1) B'--(-2, 1) C'--(-2, 2) D'--(-1, 3)
Select the correct answer. A building has a triangular rooftop terrace which is modeled by triangle ABC. In triangle ABC, the measure of ∠A is 55∘, the measure of ∠B is 65∘, and the measure of ∠C is 60∘. Which side of the terrace has the greatest length?
AC―
Which statement explains why figure JKLMN is congruent to figure VWXYZ?
Figure JKLMN was reflected across the y-axis and translated 1 unit to the left. WRONG ANSWERS
Select the correct answer from each drop-down menu.
Polygon ABCD goes through a sequence of rigid transformations to form polygon A′B′C′D′. The sequence of transformations involved is a reflection across the y = --x, followed by a reflection across the line y = x. WRONG ANSWERS
Select the correct answer. Based only on the facts in the diagram, which triangle criterion can you use to prove that ΔABC and ΔABD are congruent?
SAS
Select the correct answer from each drop-down menu.
The pair of triangles that are congruent by the ASA criterion is TRIANGLE ABC AND TRIANGLE XYZ The pair of triangles that are congruent by the SAS criterion is TRIANGLE BAC AND TRIANGLE RQP
Select the correct answer. Triangle ABC is reflected across the y-axis and then dilated by a factor of 12 centered at the origin. Which statement correctly describes the resulting image, triangle DEF?
The reflection preserves the side lengths and angles of triangle ABC. The dilation preserves angles but not side lengths.
Which sentence best explains why shape 1 and shape 2 are not congruent?
There is no sequence of rigid transformations that will map shape 1 onto shape 2.
Select the correct answer from each drop-down menu. Consider △EFG and △HJI.
Triangle HJI is A TRANSLATION AND REFLECTION OF triangle EFG. Since triangle EFG uses ONLY RIGID TRANSFORMATIONS to map onto triangle HJI, the triangles ARE CONGRUENT
Select the correct answer. How does the figure help verify the triangle inequality theorem?
by showing that only one triangle can be formed when the sum of the lengths of two sides is less than the length of the third WRONG ANSWERS
In addition to the facts in the diagram, which other statements are necessary to prove that ∆ABC is congruent to ∆EFG by the ASA criterion?
i and iii only
Complete the definitions. A rotation is a transformation where an object A translation is a transformation where an object
moves a specified distance along a line perpendicular to a specified line moves in a circular arc around a point WRONG ANSWERS
What single transformation maps ∆ABC onto ∆A'B'C'?
rotation 90° counterclockwise about the origin
