Geometry a - Unit 2 exam

use the diagram to answer the question. a reflection over km can be applied to △klm so that lm coincides with nm and ∠lmk coincides with ∠nmk. how can you be sure that lk ≅ nk?

if lm corresponds to nm, then the endpoints l and k correspond to the endpoints n and k

a tile pattern is formed by two triangles as shown. in the triangles, ab = 3, ad = 3 cm, ae = 4 cm. to prove △abc ≅△ade by the sas congruence postulate, ac must equal _[blank]_ cm.

4

use the triangles to answer the question. what is the measure of ef?

5.1 units

use the graph to answer the question. which transformation maps triangle abc to triangle a'b'c'?

a 180 rotation about the origin

use the graph to answer the question. which transformations map polygon abcd to itself? select all that apply

a 180∘ clockwise rotation about origin a reflection in the y-axis a reflection in the x-axis

which series of rigid transformations could be used to show that △abc ≅ △def?

a 90∘ clockwise rotation about point C and a reflection

use the diagram to answer the question. which transformation can be used to show that △psr ≅△upt?

a rotation around a point in the center of the triangles

use the graph to answer the question. if △abc ≅△def, which transformations maps △abc to △def?

a translation, then a reflection

use the diagram to answer the question. which answer needs to be true to be able to use the sss congruence postulate to prove △abc ≅ △dbc?

ab ≅ db and ac ≅ dc

△abc can be translated onto △def. therefore, the triangles are congruent. based on this information, what other statement is true?

bac ≅ edf

examine the following figure. complete the following sentence with the words that correctly fill in the corresponding blanks. quadrilateral abcd _[blank a]_ map onto itself using a reflection because it has _[blank b]_ line(s) of symmetry

blank a: does blank b: one

a roof frame is made of two triangles, as shown. which measurements allow you to determine that the triangles are congruent? select all that apply.

bc = 3.6 units ab = 3 units cd = 3.6 units ad = 3 units

use the graph to answer the question. https://cdstools.flipswitch.com/asset/media/1158059 if quadrilateral abcd is reflected to produce its image, quadrilateral ebgh which statements are true? select all that apply.

quadrilateral abcd ≅ quadrilateral ebgh ab ≅ eb ad ≅ gh

which two of the following mapping statements describe the same translation?

(1, -5) (-5, -2) (-3, 7) (-9,10)

examine the following graph of a regular triangle. answer the following two questions. part a: what is the angle of rotational symmetry of the figure? part b: where is the center of symmetry?

0.25 of 1 part a: 120 part b: at the line that goes through point a and (6,0)

use the triangles to answer the question. carlos states that the sas congruence postulate can be used to prove the triangles are congruent. is he correct? why?

Carlos is correct because there is one pair of corresponding congruent angles included by two pairs of corresponding congruent sides.

use the information and diagram to complete the proof. given: c is the midpoint of ab ∠bac ≅∠edc prove: △bac ≅△edc sephanie and miranda disagree about which reason goes in the blank for statement 7. stephanie states that the missing reason is the asa congruence theorem, but miranda says the missing reason is the sas congruence postulate. answer the following two questions. 1. which student, if either, is correct? 2. why?

XXX the proof does not show that the corresponding parts required to use the asa congruence theorem or sas congruence postulate are congruent. XXX neither student is correct.

use the graph to answer the question. which series of transformations correctly maps parallelogram abcd to parallelogram a'b'c'd'?

a 90∘ counterclockwise rotation about the origin, followed by a reflection in the x-axis

use the graph to answer the question. which series of transformations shows that rectangle abcd is congruent to rectangle a'b'c'd' by superimposing one onto the other?

a reflection in the y-axis, followed by a translation 1 unit down

draw a line that goes through point b. draw a line that intersects the first line, but not at point b. measure the distance of point b to the intersection. on the second line, draw point b' that is the same distance from the intersection as point b. which of the following answers describes the transformation of point b to point b′?

a rotation