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nasty-shy [4]
2 years ago
6

PLEASE HELP! Observe the following quadrilaterals. They each have been labeled with a specific name. Determine if the quadrilate

ral was given the correct name and explain your reasoning below each quadrilateral

Mathematics
2 answers:
sesenic [268]2 years ago
8 0
Rectangle:

If each angles of a quadrilateral is 90 and opposite side are equal then it is a rectangle.

Rhombus:
If in a quadrilateral, opposite angles are equal and all sides are equal, then it is a Rhombus
horsena [70]2 years ago
8 0

Answer:

Rectangle:

A rectangle has 4 interior 90° angles and 2 sets of parallel sides (11.2,11.2 and 9.6,9.6) so therefore it was correctly named

Rhombus:

Opposite angles in a rhombus are equal (102° and 102° and 78° and 78°)

and has two pairs of parallel sides; one of these pairs being diagonal lines (13.2,13.2)

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Slav-nsk [51]

Triangle ABC is an isosceles triangle.

Solution:

Given data:

∠ABC = 70° and ∠ACD = 55°

<em>If two parallel lines are cut by a transversal, then alternate interior angles are congruent.</em>

m∠BAC = m∠ACD

m∠BAC = 55°

<em>Sum of the angles in a straight line add up to 180°.</em>

m∠ACD + m∠ACB + m∠ABC = 180°

55° + m∠ACB + 70° = 180°

m∠ACB + 125° = 180°

Subtract 125° from both sides, we get

m∠ACB = 55°

In triangle ABC,

∠BAC = 55° and ∠ACB = 55°

∠BAC = ∠ACB

Two angles in the triangle are equal.

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