Recent questions and answers in Lines, Angles and Triangles

If $\overline{PQ} \cong \overline{AB}$ and $\overline{AB} \cong \overline{CD}$, then $\overline{PQ} \cong \overline{CD}$. Which of the properties below does the lines signify ?

answered May 20, 2020 by meena.clay6

1 answer

In a Rhombus $PQRS$, if $PQ=PR$, then $\angle{PQR} =$

answered Feb 20, 2020 by shrishtimehta1

2 answers

What values of a would make the given quadrilateral a parallelogram in the figure given below ?

answered Jan 11, 2020 by priyanka.clay6

1 answer

If the sides of a rectangular field are $80$ and $18\; ft$ respectively, what will be the length of its diagonal ?

answered Jan 9, 2020 by priyanka.clay6

1 answer

If two interior angles on the same side of a transversal intersecting two parallel lines are in the ratio 2 : 3, then the greater of the two angles is

answered Jan 9, 2020 by priyanka.clay6

1 answer

In the figure given below $DE || AC$ and $DF||AE$. Then which of the following statement is correct ?

answered Jan 8, 2020 by priyanka.clay6

1 answer

In the diagram below if $\dfrac{y}{x}=5$ and $\dfrac{z}{x}=4$, then the value of $x$ is

answered Jan 8, 2020 by priyanka.clay6

1 answer

The perimeter increase in the area of a triangle if its each side is doubled is

answered Jan 8, 2020 by priyanka.clay6

1 answer

$ABC$ is an isosceles triangle with $AB = AC$. $BA$ is produced to $D,$ such that $AB = AD.$ What is the $\angle{DCB}$ ?

answered Jan 6, 2020 by priyanka.clay6

1 answer

ABC is an isosceles triangle whose side have length 5 and 6. What can be the area triangle ABC, if the altitude from the base of ABC is an integer ?

answered Jan 6, 2020 by priyanka.clay6

1 answer

In the diagram below $\Delta ABC$, where $AB=AC$, find $x$

answered Jan 1, 2020 by priyanka.clay6

1 answer

In the figure given below, $OP ||RS.$ Find $x^{\circ}$

answered Dec 20, 2019 by priyanka.clay6

1 answer

If the figure above $AB \parallel DC. $ Find the value of $x$.

answered Dec 19, 2019 by priyanka.clay6

1 answer

Ryan has a corn field which is shaped as showns below in the figure. If $\angle{DAB}=90^{\circ}$ Find the area of the field.

answered Dec 19, 2019 by priyanka.clay6

1 answer

$\qquad 5x-10y > 25$ Which of the following inequalities is equivalent to the inequality above :

answered Dec 18, 2019 by priyanka.clay6

1 answer

answered Dec 17, 2019 by priyanka.clay6

1 answer

Two lines $l, \;m$ and $n$ are intersecting as shown in the figure. Find $x^{\circ}$

answered Dec 17, 2019 by priyanka.clay6

1 answer

answered Dec 16, 2019 by priyanka.clay6

1 answer

In a parallelogram $PQRS,\; \angle {P}- \angle{R} $ is

answered Dec 16, 2019 by priyanka.clay6

1 answer

Right angle triangle $PQR$, right angled at $Q$ has length $PQ$ as 8 feet, and $PR=17\;feet$. What is the length of $QR$ ?

answered Dec 12, 2019 by priyanka.clay6

1 answer

In the figure below $\overline{AB} $ is the perpendicular bisector of $\overline{CD}$

answered Dec 12, 2019 by priyanka.clay6

1 answer

What is $x$ if $BE=EC$?

answered Dec 12, 2019 by priyanka.clay6

1 answer

The figure below shows a shed wall. What is the area of the surface off this wall ?

answered Dec 12, 2019 by priyanka.clay6

1 answer

In the figure given, if $m||n,$ what is the value of $y$?

answered Dec 11, 2019 by priyanka.clay6

1 answer

In the figure given below, if $LM \parallel CB$ and $LN \parallel CD$. Then which of the following statement is correct ?

answered Dec 6, 2019 by priyanka.clay6

1 answer

The length of the sides of a triangle are $5\;cm, 12\;cm$ and $13 \;cm$. Find the length to the perpendicular from the opposite vertex to the side whose length is $13\;cm$

answered Dec 4, 2019 by priyanka.clay6

1 answer

It is given that $\Delta ABC \cong \Delta FDE$ in which $AB=5\;cm$, $\angle{A}=80^{\circ},\;\angle{B}=40^{\circ}$ and $FD=5\;cm,\; \angle{E}=?$

answered Dec 4, 2019 by priyanka.clay6

1 answer

If $D,\;E $ and $F$ are the mid points of the sides $AB, \;BC$ and $CA$ of an equilateral triangle $ABC$ , then $\Delta DEF$ is a _________ triangle.

answered Dec 4, 2019 by priyanka.clay6

1 answer

A quadrilateral which has exactly one pair of parallel sides is called

answered Dec 3, 2019 by priyanka.clay6

1 answer

The area of a triangle can be calculated from Heron's formula $A = \sqrt{S(S-a)(S-b)(S-c)}$, where $a,\;b,\;c$ are length of the sides and $S = \large\frac{a+b+c}{2}$. Calculate the area of a triangle with side length $5, \;7 $ and $10$. Leave your answer in simplest radical form.

answered Dec 2, 2019 by priyanka.clay6

1 answer

$\Delta OAB$ is isosceles with $OA=OB$ and $AB$ is parallel to $CD$ and the height of the $\Delta OCD$ is $3$. The area of the $\Delta OAB$ is

answered Dec 2, 2019 by priyanka.clay6

1 answer

If the distance between a 13 feet ladder and a vertical wall is 5 feet along the ground, how high can a person climb if the ladder is inclined against the wall ?

answered Dec 2, 2019 by priyanka.clay6

1 answer

What is the area of the parallelogram shown in the figure below ?

answered Dec 2, 2019 by priyanka.clay6

1 answer

Michelle had a kite and he wanted to fly from his garden. The kite is shaped as shown in the figure. What can be the length of the line segment AE ?

answered Dec 1, 2019 by priyanka.clay6

1 answer

In the figure above, $AE=AD$ and $BD=CE$ then

answered Nov 26, 2019 by priyanka.clay6

1 answer

On the grid, which of the following points is the same distance from $A(1,4)$ as it is from $B(5,2)$

answered Nov 26, 2019 by priyanka.clay6

1 answer

Find the value of $x$ and $y$.

answered Nov 25, 2019 by priyanka.clay6

1 answer

Alex and Jim start from their home and move in perpendicular directions as shown in the figure. The co-ordinates of their mid points is $(4,-3)$, what can be the co-ordinate of Alex and Jim ?

answered Nov 25, 2019 by priyanka.clay6

1 answer

In a right triangle with sides $x$ and $y$ and hypotenuse $z$, the altitude drawn on the hypotenuse is $a$, then,

answered Nov 23, 2019 by priyanka.clay6

1 answer

Siara has designed a pond in the shape of a right triangle with its hypotenuse 3m longer than its leg. Sum of the hypotenuse and its leg is 11 m. What is the length of the third side ( beside hypotenuse and the leg ) ?

answered Nov 23, 2019 by priyanka.clay6

1 answer

A solid cylinder is melted and cast into a cone of same radius. Find the ratio of their heights ?

answered Nov 23, 2019 by priyanka.clay6

1 answer

If each side of an equilateral triangle is increased by $2\; cm$ then its area increases by $3\sqrt{3} cm^2$. Find the length of each side.

answered Nov 23, 2019 by priyanka.clay6

1 answer

The graph of a line $'l'$ in the $xy$-plane passes through the points $(-3,5)$ and $(1,2)$. The graph of the line $'m'$ has a slope of $-2$ and an $x$ intercept $3$. If the point $(x,y)$ is the point of intersection of lines $l$ and $m$, what is the value of $y$ ?

answered Nov 18, 2019 by priyanka.clay6

1 answer

answered Nov 18, 2019 by priyanka.clay6

1 answer

answered Nov 17, 2019 by priyanka.clay6

1 answer

The below figure shows the graph of $y=f(x)$. Which of the following could be the $f(x)$.

answered Nov 16, 2019 by priyanka.clay6

1 answer

The area of the triangle above is 72. What is the value of x?

answered Nov 15, 2019 by meena.clay6

1 answer

In the fig. given below $DE$ is parallel to $BC$. The ratio of $AD$ to $BC$ is 4:1. What will be the ratio of the areas of $\Delta ADE $ to that of $\Delta ABC$ ?

answered Nov 12, 2019 by priyanka.clay6

1 answer

ABC is an isosceles triangle whose side have length 5 and 6. What can be the area of triangle ABC, if the altitude from the base of ABC is an integer ?

answered Nov 12, 2019 by priyanka.clay6

1 answer

$ABCDE$ is a pentagon whose angles are given in the figure below. What can be the angle $B$ ?

asked Nov 11, 2019 by priyanka.clay6

1 answer

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