Question

Bradley and Kelly are out flying kites at a park one afternoon. A model of Bradley and Kelly's kites are shown below on the coordinate plane as kites BRAD and KELY, respectively:

Answer 1

Which statement is correct about the two kites?

They are similar because Segment BR to segment DB is 1:2 and Segment KE to segment YK is 1:2.
They are not similar because Segment BR to segment DB is 2:1 and Segment KE to segment YK is 1:2.
They are similar because Segment BR to segment DB is 2:1 and Segment KE to segment YK is 2:1.
They are not similar because Segment BR to segment DB is 1:2 and Segment KE to segment YK is 2:1.

Answer 2

Look at the figure shown below:

Answer 3

Rita is writing statements as shown below to prove that if segment ST is parallel to segment RQ, then x = 24:


Statement Reason
1. Segment ST is parallel to segment QR Given
2. Angle QRT is congruent to angle STP Corresponding angles formed by parallel lines and their transversal are congruent.
3. Angle SPT is congruent to angle QPR Reflexive property of angles.
4. Triangle SPT is congruent to triangle QPR Angle-Angle Similarity Postulate
5. ? Corresponding sides of similar triangles are in proportion.

Which equation can she use as statement 5?

Answer 4

(2x + 28):28 = 60:35
(2x + 28):28 = 60:95
(2x + 28):60 = 28:95
(2x + 28):95 = 28:35

Answer 5

I screenshotted the statements and reasons since when i copy and paste it looks wierd

Answer 6

Kari drew two parallel lines PQ and RS intersected by a transversal KL, as shown below:

Answer 7

Which fact would help Kari prove that the measure of angle QMN is equal to the measure of angle SNL?

Interior angles MNR and PMN are congruent to each other, and vertical angles SNL and MNR are congruent to each other.
Alternate interior angles MNR and QMN are congruent to each other, and vertical angles SNL and MNR are congruent to each other.
Alternate interior angles MNS and PMN are supplementary and vertical angles SNK and RNL are congruent to each other.
Interior angles MNR and PMN are supplementary and consecutive angles SNL and MNS are congruent to each other.

Answer 8

Are the following figures similar?

Answer 9

No; the corresponding angles are not congruent.
No; the corresponding sides are not proportional.
Yes; the corresponding angles are congruent.
Yes; the corresponding sides are proportional.

Answer 10

for example:
I consider the last question.
hint:
when i say that two geometrical shape are similar, I mean that one shape is derived from the other one, by means of a dilation or homothety. Now a homothety leaves unchanged the angle between segments

Answer 11

shapes*

Answer 12

So could it be D? Because of the similar proportions of angles making them similar?

Answer 13

hint:
please look at the corresponding angle of both geometrical shapes

Answer 14

angles*

Answer 15

they are similar but not the same

Answer 16

have the corresponding angles the same value?

Answer 17

not exactly but close, only 1 number away

Answer 18

so, they are different. So, what is the right option?

Answer 19

B, the sides are not proportional

Answer 20

please, we have showed that the corresponding angles are \(not\) equal or congruent, so?

Answer 21

I believe it would be A then. Only thing is, the question asks about similarity not congruentn

Answer 22

one geometrical shape is \(not\) related to the other by means of a dilation, then what can you conclude?

Answer 23

the question asks for similarity, so your last answer is correct!

Answer 24

Oh i understand now, thank you!

Answer 25

:)