Mathematics: I need help on 11 and 10... unless you want to edit other answers.

QUESTION 1Triangles PQR and P Q R has been plotted in the graph. The green triangle is triangle PQR.The red triangle is triangle P Q R .See attachment for graph.QUESTION 2Part AThe scale factor can be calculated using the formula,QUESTION 3 Part BFor a reflection in the y-axis, we negate the x-coordinates. So we negate the x-coordinates of P Q R to obtain the coordinates of P Q R .This implies that,QUESTION 4Part CThe two triangles PQR and P′ Q′ R′ are not congruent. The reason is that the two triangles...

I need help on 11 and 10... unless you want to

Ответ:

animegirl02

28.11.2020

Mathematics

QUESTION 1

Triangles PQR and P'Q'R' has been plotted in the graph.

The green triangle is triangle PQR.

The red triangle is triangle P'Q'R'.

See attachment for graph.

QUESTION 2

Part A

The scale factor can be calculated using the formula,

$Scale \:factor=\frac{Image\:length}{Object\: length}$

$Scale \:factor=\frac{|P'R'|}{|PQ|}$

$Scale \:factor=\frac{\sqrt{(-1-1)^2+(0--2)^2}}{\sqrt{(3--3)^2+(0--6)^2}}$

$Scale \:factor=\frac{\sqrt{(-2)^2+(2)^2}}{\sqrt{(6)^2+(6)^2}}$

$Scale \:factor=\frac{\sqrt{4+4}}{\sqrt{36+36}}$

$Scale \:factor=\frac{\sqrt{8}}{\sqrt{72}}$

$Scale \:factor=\frac{2\sqrt{2}}{6\sqrt{2}}$

$Scale \:factor=\frac{1}{3}$

QUESTION 3

Part B

For a reflection in the y-axis, we negate the x-coordinates. So we negate the x-coordinates of P'Q'R' to obtain the coordinates of P"Q"R".

This implies that,

$P'(1,-2)\rightarrow P''(-1,-2)$

$Q'(0,3)\rightarrow Q''(0,3)$

$R'(-1,0)\rightarrow R''(1,0)$

QUESTION 4

Part C

The two triangles PQR and P′'Q′'R′' are not congruent. The reason is that the two triangles are not equal in all respect. The side lengths are not the same.

If two triangles are congruent, they will have exactly the same three sides and the same three angles.

This means that the two triangles must have the same size and shape. But triangles PQR and P′'Q′'R′' do not have the same size therefore they are not congruent.

See graph

Triangle pqr is transformed to triangle p′q′r′. triangle pqr has vertices p(3, −6), q(0, 9), and r(−

0,0(0 оценок)

I need help on 11 and 10... unless you want to edit other answers.

Ответ:

Ответ:

Ask your question to the AI advisor

More tips

Answers on questions: Mathematics

Ask an AI advisor a question