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alexira [117]
2 years ago
12

If a rectangle has side lengths of 10 cm and 4 cm is it similar to a rectangle with side lengths of 5cm and 8 cm ? Why or why no

t

Mathematics
1 answer:
sashaice [31]2 years ago
6 0

Rectangle A is not similar to rectangle B because the ratio of length to width is different.

<h3>Ratios and proportions</h3>

A ratio means a comparison of two different quantities while proportion is an equality of two ratios.

Rectangle A:

  • Length= 10 cm
  • Width = 4 cm

Ratio of length to width = 10 : 4

= 10/4

= 5/2

= 5 : 2

Rectangle B:

  • Length = 5 cm
  • Width = 8 cm

Ratio of length to width = 5 : 8

Therefore, rectangle A is not similar to rectangle B because the ratio of length to width is different.

Learn more about ratios and proportions:

brainly.com/question/12024093

#SPJ1

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Please help me!
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<h3>Answer: angle T = 70</h3>

======================================

Work Shown:

Quadrilateral RSTU is a kite. In geometry, any kite has two pairs of adjacent congruent sides. In this case, RU = RS is one pair of adjacent congruent sides (single tickmarks), while TU = TS is the other pair of adjacent congruent sides (double tickmarks).

Draw diagonal line segment TR. This forms triangles TUR and TSR.

Through the SSS (side side side) congruence theorem, we can prove that the two triangles TUR and TSR are congruent.

Then by CPCTC (corresponding parts of congruent triangles are congruent), we can say,

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--------------

Re-focus back on quadrilateral RSTU (ignore or erase line segment TR). The four angles of any quadrilateral will always add to 360 degrees. Let x be the measure of angle T.

(angleU)+(angleR)+(angleS)+(angleT) = 360

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290+x-290 = 360-290 ... subtract 290 from both sides

x = 70

<h3>angle T = 70</h3>
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